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Building a nine - region cluster chart with Tooltip to display labels associated with 2D points


Question about BorderingCountiesListPlot with labels that appear when the pointer goes over the pointsHow do I display the numeric value of a curve with Tooltip?Annotating plots by adding labels with arrows connecting them to data points






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








3












$begingroup$


I'm attempting to build a nine-region cluster chart using Tooltip to display labels associated with 2-D points also displayed on it. I do NOT want to use "FindClusters". I want to design my own cluster chart as explained below. The following mock data is made-up of 2-D points where each points have a label-identifier called a "NAICS" code (NAICS stands for "North American Industry
Classification System").



mockdataWithNAICS = "29-1141", 186, 112, "41-2031", 123, 92, "41-1011", 65, 404, "43-4051", 108, 646, "31-1014", 643, 246,
"49-9071", 356, 363, "43-1011", 543, 381, "43-5081", 268, 674, "53-3032", 416, 653, "37-3011", 514, 428, "37-2012", 501, 58,
"33-9032", 441, 598, "35-2014", 633, 138, "29-2061", 414, 590, "53-3033", 98, 155, "35-3031", 179, 431, "49-3023", 93, 623,
"35-3021", 37, 578, "41-2011", 256, 237, "37-2011", 302, 50, "47-1011", 518, 2, "11-9111", 313, 294, "31-9092", 698, 136,
"43-3031", 608, 610, "43-6013", 562, 515, "13-2011", 415, 327, "21-1093", 191, 72, "41-4012", 212, 92, "41-3031", 546, 418,
"31-1011", 591, 49, "47-2031", 405, 526, "41-3021", 191, 297, "15-1151", 442, 445, "43-6011", 118, 185, "49-1011", 472, 402,
"53-7062", 348, 552, "43-4171", 409, 396, "43-6014", 348, 247, "53-1031", 629, 59, "47-2061", 589, 534, "27-1026", 22, 377,
"29-1069", 445, 74, "49-9021", 647, 539, "43-9061", 25, 543, "11-1021", 19, 165, "41-1012", 482, 199, "29-1062", 1, 68,
"43-4081", 217, 112, "41-3099", 663, 66, "11-3031", 329, 392, "53-7061", 357, 515, "35-2021", 488, 245, "31-9091", 318, 679,
"51-1011", 650, 349, "11-9051", 38, 145, "53-3031", 166, 691, "39-9021", 561, 127, "39-5012", 665, 362, "47-2111", 397, 532,
"43-3071", 326, 271, "29-2034", 361, 450, "35-9011", 12, 366, "29-1123", 16, 211, "15-1142",162, 662, "11-2021", 520, 164,
"29-2031", 339, 619, "25-2011", 263, 564, "41-4011", 551, 301, "29-2055", 76, 549, "29-2052", 285, 640, "13-2072", 370, 542,
"35-2012", 512, 547, "11-2022", 130, 154, "15-1132", 188, 274, "13-2052", 338, 587, "15-1199", 455, 5, "35-9031", 595, 472,
"17-2051", 648, 481, "11-9199", 430, 189, "39-3091", 29, 396, "47-2152", 412, 342, "29-1122", 582, 20, "11-9141", 276, 4,
"25-2021", 666, 617, "15-1134", 236, 334, "37-1011", 407, 664, "29-1063", 260, 278, "49-3031", 161, 354, "41-9022", 185, 144,
"41-9041", 551, 628, "25-2031", 529, 505, "29-2071", 548, 296, "29-1127", 373, 124, "21-1023", 473, 71, "29-1067", 489, 569,
"29-1071", 539, 277, "11-3121", 390, 348, "11-9021", 634, 20, "53-3041", 589, 258, "49-3021", 47, 206;

L = Length[mockdataWithNAICS];
counter = Range[L];
counter = Range[L];
mock2Dvalues = mockdataWithNAICS[[#]][[2]], mockdataWithNAICS[[#]][[3]] & /@ counter


The following measurements are necessary to build a grid :



minx = Round[Min[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];
maxx = Round[Max[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];

dx = Round[Subdivide[minx, maxx, 3]];

miny = Round[Min[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

maxy = Round[Max[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

dy = Round[Subdivide[miny, maxy, 3]];

gridpts = Tuples[dx, dy];


The following plot will allow you to visualize the grid and all the data points :



plt1 = ListPlot[gridpts, Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy, Epilog :> Blue, Point[mock2Dvalues]]


Mathematica graphics



The purpose of the following plot is to allow you to display the grid
points with the aid of Tooltip to define the following nine regions :



plt2 = ListPlot[Tooltip[gridpts], Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy]


Mathematica graphics



Here we define the nine cluster regions. We assign colors to the region names as a "mnemonic device" to associate the 2-D points with the regions that they belong-to, according to color. The colors are arbitrary :



 magentaregion = Rectangle[gridpts[[1]], gridpts[[6]]]

orangeregion = Rectangle[gridpts[[5]], gridpts[[10]]]

cyanregion = Rectangle[gridpts[[9]], gridpts[[14]]]

redregion = Rectangle[gridpts[[2]], gridpts[[7]]]

blueregion = Rectangle[gridpts[[6]], gridpts[[11]]]

greenregion = Rectangle[gridpts[[10]], gridpts[[15]]]

lightgrayregion = Rectangle[gridpts[[3]], gridpts[[8]]]

yellowregion = Rectangle[gridpts[[7]], gridpts[[12]]]

blackregion = Rectangle[gridpts[[11]], gridpts[[16]]]


Here we disburse the points according to the regions where they belong to :



magentapts = Select[mock2Dvalues, # [Element] magentaregion &]

orangepts = Select[mock2Dvalues, # [Element] orangeregion &]

cyanpts = Select[mock2Dvalues, # [Element] cyanregion &]

redpts = Select[mock2Dvalues, # [Element] redregion &]

bluepts = Select[mock2Dvalues, # [Element] blueregion &]

greenpts = Select[mock2Dvalues, # [Element] greenregion &]

lightgraypts = Select[mock2Dvalues, # [Element] lightgrayregion &]

yellowpts = Select[mock2Dvalues, # [Element] yellowregion &]

blackpts = Select[mock2Dvalues, # [Element] blackregion &]


The following plots are necessary to build the final chart below :



plt3 = ListPlot[magentapts, Frame -> True, PlotStyle -> Magenta, 
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt4 = ListPlot[orangepts, Frame -> True, PlotStyle -> Orange,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt5 = ListPlot[cyanpts, Frame -> True, PlotStyle -> Cyan,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt6 = ListPlot[redpts, Frame -> True, PlotStyle -> Red,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt7 = ListPlot[bluepts, Frame -> True, PlotStyle -> Blue,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt8 = ListPlot[greenpts, Frame -> True, PlotStyle -> Green,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt9 = ListPlot[lightgraypts, Frame -> True, PlotStyle -> LightGray,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt10 = ListPlot[yellowpts, Frame -> True, PlotStyle -> Yellow,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt11 = ListPlot[blackpts, Frame -> True, PlotStyle -> Black,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];


This plot shows the nine-region cluster chart with the points colored by the region that they belong to :



finalchart = Show[plt3, plt4, plt5, plt6, plt7, plt8, plt9, plt10, plt11]


Mathematica graphics



Finally; we establish an association between the NAICS codes and their 2 - D points as follows:



mockdataWithNAICSlabels = 
Association[#[[1]] -> #[[2 ;; 3]] & /@ mockdataWithNAICS];

Dataset[mockdataWithNAICSlabels]


My question is: How can I associate the NAICS codes to their respective points BY COLORED REGION, so that if I use Tooltip; the NAICS codes will be displayed for each point in the above finalchart? Thank you!










share|improve this question











$endgroup$













  • $begingroup$
    Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
    $endgroup$
    – kglr
    10 hours ago










  • $begingroup$
    Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    10 hours ago










  • $begingroup$
    @kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    @Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
    $endgroup$
    – kglr
    8 hours ago

















3












$begingroup$


I'm attempting to build a nine-region cluster chart using Tooltip to display labels associated with 2-D points also displayed on it. I do NOT want to use "FindClusters". I want to design my own cluster chart as explained below. The following mock data is made-up of 2-D points where each points have a label-identifier called a "NAICS" code (NAICS stands for "North American Industry
Classification System").



mockdataWithNAICS = "29-1141", 186, 112, "41-2031", 123, 92, "41-1011", 65, 404, "43-4051", 108, 646, "31-1014", 643, 246,
"49-9071", 356, 363, "43-1011", 543, 381, "43-5081", 268, 674, "53-3032", 416, 653, "37-3011", 514, 428, "37-2012", 501, 58,
"33-9032", 441, 598, "35-2014", 633, 138, "29-2061", 414, 590, "53-3033", 98, 155, "35-3031", 179, 431, "49-3023", 93, 623,
"35-3021", 37, 578, "41-2011", 256, 237, "37-2011", 302, 50, "47-1011", 518, 2, "11-9111", 313, 294, "31-9092", 698, 136,
"43-3031", 608, 610, "43-6013", 562, 515, "13-2011", 415, 327, "21-1093", 191, 72, "41-4012", 212, 92, "41-3031", 546, 418,
"31-1011", 591, 49, "47-2031", 405, 526, "41-3021", 191, 297, "15-1151", 442, 445, "43-6011", 118, 185, "49-1011", 472, 402,
"53-7062", 348, 552, "43-4171", 409, 396, "43-6014", 348, 247, "53-1031", 629, 59, "47-2061", 589, 534, "27-1026", 22, 377,
"29-1069", 445, 74, "49-9021", 647, 539, "43-9061", 25, 543, "11-1021", 19, 165, "41-1012", 482, 199, "29-1062", 1, 68,
"43-4081", 217, 112, "41-3099", 663, 66, "11-3031", 329, 392, "53-7061", 357, 515, "35-2021", 488, 245, "31-9091", 318, 679,
"51-1011", 650, 349, "11-9051", 38, 145, "53-3031", 166, 691, "39-9021", 561, 127, "39-5012", 665, 362, "47-2111", 397, 532,
"43-3071", 326, 271, "29-2034", 361, 450, "35-9011", 12, 366, "29-1123", 16, 211, "15-1142",162, 662, "11-2021", 520, 164,
"29-2031", 339, 619, "25-2011", 263, 564, "41-4011", 551, 301, "29-2055", 76, 549, "29-2052", 285, 640, "13-2072", 370, 542,
"35-2012", 512, 547, "11-2022", 130, 154, "15-1132", 188, 274, "13-2052", 338, 587, "15-1199", 455, 5, "35-9031", 595, 472,
"17-2051", 648, 481, "11-9199", 430, 189, "39-3091", 29, 396, "47-2152", 412, 342, "29-1122", 582, 20, "11-9141", 276, 4,
"25-2021", 666, 617, "15-1134", 236, 334, "37-1011", 407, 664, "29-1063", 260, 278, "49-3031", 161, 354, "41-9022", 185, 144,
"41-9041", 551, 628, "25-2031", 529, 505, "29-2071", 548, 296, "29-1127", 373, 124, "21-1023", 473, 71, "29-1067", 489, 569,
"29-1071", 539, 277, "11-3121", 390, 348, "11-9021", 634, 20, "53-3041", 589, 258, "49-3021", 47, 206;

L = Length[mockdataWithNAICS];
counter = Range[L];
counter = Range[L];
mock2Dvalues = mockdataWithNAICS[[#]][[2]], mockdataWithNAICS[[#]][[3]] & /@ counter


The following measurements are necessary to build a grid :



minx = Round[Min[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];
maxx = Round[Max[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];

dx = Round[Subdivide[minx, maxx, 3]];

miny = Round[Min[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

maxy = Round[Max[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

dy = Round[Subdivide[miny, maxy, 3]];

gridpts = Tuples[dx, dy];


The following plot will allow you to visualize the grid and all the data points :



plt1 = ListPlot[gridpts, Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy, Epilog :> Blue, Point[mock2Dvalues]]


Mathematica graphics



The purpose of the following plot is to allow you to display the grid
points with the aid of Tooltip to define the following nine regions :



plt2 = ListPlot[Tooltip[gridpts], Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy]


Mathematica graphics



Here we define the nine cluster regions. We assign colors to the region names as a "mnemonic device" to associate the 2-D points with the regions that they belong-to, according to color. The colors are arbitrary :



 magentaregion = Rectangle[gridpts[[1]], gridpts[[6]]]

orangeregion = Rectangle[gridpts[[5]], gridpts[[10]]]

cyanregion = Rectangle[gridpts[[9]], gridpts[[14]]]

redregion = Rectangle[gridpts[[2]], gridpts[[7]]]

blueregion = Rectangle[gridpts[[6]], gridpts[[11]]]

greenregion = Rectangle[gridpts[[10]], gridpts[[15]]]

lightgrayregion = Rectangle[gridpts[[3]], gridpts[[8]]]

yellowregion = Rectangle[gridpts[[7]], gridpts[[12]]]

blackregion = Rectangle[gridpts[[11]], gridpts[[16]]]


Here we disburse the points according to the regions where they belong to :



magentapts = Select[mock2Dvalues, # [Element] magentaregion &]

orangepts = Select[mock2Dvalues, # [Element] orangeregion &]

cyanpts = Select[mock2Dvalues, # [Element] cyanregion &]

redpts = Select[mock2Dvalues, # [Element] redregion &]

bluepts = Select[mock2Dvalues, # [Element] blueregion &]

greenpts = Select[mock2Dvalues, # [Element] greenregion &]

lightgraypts = Select[mock2Dvalues, # [Element] lightgrayregion &]

yellowpts = Select[mock2Dvalues, # [Element] yellowregion &]

blackpts = Select[mock2Dvalues, # [Element] blackregion &]


The following plots are necessary to build the final chart below :



plt3 = ListPlot[magentapts, Frame -> True, PlotStyle -> Magenta, 
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt4 = ListPlot[orangepts, Frame -> True, PlotStyle -> Orange,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt5 = ListPlot[cyanpts, Frame -> True, PlotStyle -> Cyan,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt6 = ListPlot[redpts, Frame -> True, PlotStyle -> Red,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt7 = ListPlot[bluepts, Frame -> True, PlotStyle -> Blue,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt8 = ListPlot[greenpts, Frame -> True, PlotStyle -> Green,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt9 = ListPlot[lightgraypts, Frame -> True, PlotStyle -> LightGray,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt10 = ListPlot[yellowpts, Frame -> True, PlotStyle -> Yellow,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt11 = ListPlot[blackpts, Frame -> True, PlotStyle -> Black,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];


This plot shows the nine-region cluster chart with the points colored by the region that they belong to :



finalchart = Show[plt3, plt4, plt5, plt6, plt7, plt8, plt9, plt10, plt11]


Mathematica graphics



Finally; we establish an association between the NAICS codes and their 2 - D points as follows:



mockdataWithNAICSlabels = 
Association[#[[1]] -> #[[2 ;; 3]] & /@ mockdataWithNAICS];

Dataset[mockdataWithNAICSlabels]


My question is: How can I associate the NAICS codes to their respective points BY COLORED REGION, so that if I use Tooltip; the NAICS codes will be displayed for each point in the above finalchart? Thank you!










share|improve this question











$endgroup$













  • $begingroup$
    Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
    $endgroup$
    – kglr
    10 hours ago










  • $begingroup$
    Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    10 hours ago










  • $begingroup$
    @kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    @Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
    $endgroup$
    – kglr
    8 hours ago













3












3








3





$begingroup$


I'm attempting to build a nine-region cluster chart using Tooltip to display labels associated with 2-D points also displayed on it. I do NOT want to use "FindClusters". I want to design my own cluster chart as explained below. The following mock data is made-up of 2-D points where each points have a label-identifier called a "NAICS" code (NAICS stands for "North American Industry
Classification System").



mockdataWithNAICS = "29-1141", 186, 112, "41-2031", 123, 92, "41-1011", 65, 404, "43-4051", 108, 646, "31-1014", 643, 246,
"49-9071", 356, 363, "43-1011", 543, 381, "43-5081", 268, 674, "53-3032", 416, 653, "37-3011", 514, 428, "37-2012", 501, 58,
"33-9032", 441, 598, "35-2014", 633, 138, "29-2061", 414, 590, "53-3033", 98, 155, "35-3031", 179, 431, "49-3023", 93, 623,
"35-3021", 37, 578, "41-2011", 256, 237, "37-2011", 302, 50, "47-1011", 518, 2, "11-9111", 313, 294, "31-9092", 698, 136,
"43-3031", 608, 610, "43-6013", 562, 515, "13-2011", 415, 327, "21-1093", 191, 72, "41-4012", 212, 92, "41-3031", 546, 418,
"31-1011", 591, 49, "47-2031", 405, 526, "41-3021", 191, 297, "15-1151", 442, 445, "43-6011", 118, 185, "49-1011", 472, 402,
"53-7062", 348, 552, "43-4171", 409, 396, "43-6014", 348, 247, "53-1031", 629, 59, "47-2061", 589, 534, "27-1026", 22, 377,
"29-1069", 445, 74, "49-9021", 647, 539, "43-9061", 25, 543, "11-1021", 19, 165, "41-1012", 482, 199, "29-1062", 1, 68,
"43-4081", 217, 112, "41-3099", 663, 66, "11-3031", 329, 392, "53-7061", 357, 515, "35-2021", 488, 245, "31-9091", 318, 679,
"51-1011", 650, 349, "11-9051", 38, 145, "53-3031", 166, 691, "39-9021", 561, 127, "39-5012", 665, 362, "47-2111", 397, 532,
"43-3071", 326, 271, "29-2034", 361, 450, "35-9011", 12, 366, "29-1123", 16, 211, "15-1142",162, 662, "11-2021", 520, 164,
"29-2031", 339, 619, "25-2011", 263, 564, "41-4011", 551, 301, "29-2055", 76, 549, "29-2052", 285, 640, "13-2072", 370, 542,
"35-2012", 512, 547, "11-2022", 130, 154, "15-1132", 188, 274, "13-2052", 338, 587, "15-1199", 455, 5, "35-9031", 595, 472,
"17-2051", 648, 481, "11-9199", 430, 189, "39-3091", 29, 396, "47-2152", 412, 342, "29-1122", 582, 20, "11-9141", 276, 4,
"25-2021", 666, 617, "15-1134", 236, 334, "37-1011", 407, 664, "29-1063", 260, 278, "49-3031", 161, 354, "41-9022", 185, 144,
"41-9041", 551, 628, "25-2031", 529, 505, "29-2071", 548, 296, "29-1127", 373, 124, "21-1023", 473, 71, "29-1067", 489, 569,
"29-1071", 539, 277, "11-3121", 390, 348, "11-9021", 634, 20, "53-3041", 589, 258, "49-3021", 47, 206;

L = Length[mockdataWithNAICS];
counter = Range[L];
counter = Range[L];
mock2Dvalues = mockdataWithNAICS[[#]][[2]], mockdataWithNAICS[[#]][[3]] & /@ counter


The following measurements are necessary to build a grid :



minx = Round[Min[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];
maxx = Round[Max[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];

dx = Round[Subdivide[minx, maxx, 3]];

miny = Round[Min[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

maxy = Round[Max[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

dy = Round[Subdivide[miny, maxy, 3]];

gridpts = Tuples[dx, dy];


The following plot will allow you to visualize the grid and all the data points :



plt1 = ListPlot[gridpts, Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy, Epilog :> Blue, Point[mock2Dvalues]]


Mathematica graphics



The purpose of the following plot is to allow you to display the grid
points with the aid of Tooltip to define the following nine regions :



plt2 = ListPlot[Tooltip[gridpts], Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy]


Mathematica graphics



Here we define the nine cluster regions. We assign colors to the region names as a "mnemonic device" to associate the 2-D points with the regions that they belong-to, according to color. The colors are arbitrary :



 magentaregion = Rectangle[gridpts[[1]], gridpts[[6]]]

orangeregion = Rectangle[gridpts[[5]], gridpts[[10]]]

cyanregion = Rectangle[gridpts[[9]], gridpts[[14]]]

redregion = Rectangle[gridpts[[2]], gridpts[[7]]]

blueregion = Rectangle[gridpts[[6]], gridpts[[11]]]

greenregion = Rectangle[gridpts[[10]], gridpts[[15]]]

lightgrayregion = Rectangle[gridpts[[3]], gridpts[[8]]]

yellowregion = Rectangle[gridpts[[7]], gridpts[[12]]]

blackregion = Rectangle[gridpts[[11]], gridpts[[16]]]


Here we disburse the points according to the regions where they belong to :



magentapts = Select[mock2Dvalues, # [Element] magentaregion &]

orangepts = Select[mock2Dvalues, # [Element] orangeregion &]

cyanpts = Select[mock2Dvalues, # [Element] cyanregion &]

redpts = Select[mock2Dvalues, # [Element] redregion &]

bluepts = Select[mock2Dvalues, # [Element] blueregion &]

greenpts = Select[mock2Dvalues, # [Element] greenregion &]

lightgraypts = Select[mock2Dvalues, # [Element] lightgrayregion &]

yellowpts = Select[mock2Dvalues, # [Element] yellowregion &]

blackpts = Select[mock2Dvalues, # [Element] blackregion &]


The following plots are necessary to build the final chart below :



plt3 = ListPlot[magentapts, Frame -> True, PlotStyle -> Magenta, 
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt4 = ListPlot[orangepts, Frame -> True, PlotStyle -> Orange,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt5 = ListPlot[cyanpts, Frame -> True, PlotStyle -> Cyan,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt6 = ListPlot[redpts, Frame -> True, PlotStyle -> Red,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt7 = ListPlot[bluepts, Frame -> True, PlotStyle -> Blue,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt8 = ListPlot[greenpts, Frame -> True, PlotStyle -> Green,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt9 = ListPlot[lightgraypts, Frame -> True, PlotStyle -> LightGray,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt10 = ListPlot[yellowpts, Frame -> True, PlotStyle -> Yellow,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt11 = ListPlot[blackpts, Frame -> True, PlotStyle -> Black,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];


This plot shows the nine-region cluster chart with the points colored by the region that they belong to :



finalchart = Show[plt3, plt4, plt5, plt6, plt7, plt8, plt9, plt10, plt11]


Mathematica graphics



Finally; we establish an association between the NAICS codes and their 2 - D points as follows:



mockdataWithNAICSlabels = 
Association[#[[1]] -> #[[2 ;; 3]] & /@ mockdataWithNAICS];

Dataset[mockdataWithNAICSlabels]


My question is: How can I associate the NAICS codes to their respective points BY COLORED REGION, so that if I use Tooltip; the NAICS codes will be displayed for each point in the above finalchart? Thank you!










share|improve this question











$endgroup$




I'm attempting to build a nine-region cluster chart using Tooltip to display labels associated with 2-D points also displayed on it. I do NOT want to use "FindClusters". I want to design my own cluster chart as explained below. The following mock data is made-up of 2-D points where each points have a label-identifier called a "NAICS" code (NAICS stands for "North American Industry
Classification System").



mockdataWithNAICS = "29-1141", 186, 112, "41-2031", 123, 92, "41-1011", 65, 404, "43-4051", 108, 646, "31-1014", 643, 246,
"49-9071", 356, 363, "43-1011", 543, 381, "43-5081", 268, 674, "53-3032", 416, 653, "37-3011", 514, 428, "37-2012", 501, 58,
"33-9032", 441, 598, "35-2014", 633, 138, "29-2061", 414, 590, "53-3033", 98, 155, "35-3031", 179, 431, "49-3023", 93, 623,
"35-3021", 37, 578, "41-2011", 256, 237, "37-2011", 302, 50, "47-1011", 518, 2, "11-9111", 313, 294, "31-9092", 698, 136,
"43-3031", 608, 610, "43-6013", 562, 515, "13-2011", 415, 327, "21-1093", 191, 72, "41-4012", 212, 92, "41-3031", 546, 418,
"31-1011", 591, 49, "47-2031", 405, 526, "41-3021", 191, 297, "15-1151", 442, 445, "43-6011", 118, 185, "49-1011", 472, 402,
"53-7062", 348, 552, "43-4171", 409, 396, "43-6014", 348, 247, "53-1031", 629, 59, "47-2061", 589, 534, "27-1026", 22, 377,
"29-1069", 445, 74, "49-9021", 647, 539, "43-9061", 25, 543, "11-1021", 19, 165, "41-1012", 482, 199, "29-1062", 1, 68,
"43-4081", 217, 112, "41-3099", 663, 66, "11-3031", 329, 392, "53-7061", 357, 515, "35-2021", 488, 245, "31-9091", 318, 679,
"51-1011", 650, 349, "11-9051", 38, 145, "53-3031", 166, 691, "39-9021", 561, 127, "39-5012", 665, 362, "47-2111", 397, 532,
"43-3071", 326, 271, "29-2034", 361, 450, "35-9011", 12, 366, "29-1123", 16, 211, "15-1142",162, 662, "11-2021", 520, 164,
"29-2031", 339, 619, "25-2011", 263, 564, "41-4011", 551, 301, "29-2055", 76, 549, "29-2052", 285, 640, "13-2072", 370, 542,
"35-2012", 512, 547, "11-2022", 130, 154, "15-1132", 188, 274, "13-2052", 338, 587, "15-1199", 455, 5, "35-9031", 595, 472,
"17-2051", 648, 481, "11-9199", 430, 189, "39-3091", 29, 396, "47-2152", 412, 342, "29-1122", 582, 20, "11-9141", 276, 4,
"25-2021", 666, 617, "15-1134", 236, 334, "37-1011", 407, 664, "29-1063", 260, 278, "49-3031", 161, 354, "41-9022", 185, 144,
"41-9041", 551, 628, "25-2031", 529, 505, "29-2071", 548, 296, "29-1127", 373, 124, "21-1023", 473, 71, "29-1067", 489, 569,
"29-1071", 539, 277, "11-3121", 390, 348, "11-9021", 634, 20, "53-3041", 589, 258, "49-3021", 47, 206;

L = Length[mockdataWithNAICS];
counter = Range[L];
counter = Range[L];
mock2Dvalues = mockdataWithNAICS[[#]][[2]], mockdataWithNAICS[[#]][[3]] & /@ counter


The following measurements are necessary to build a grid :



minx = Round[Min[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];
maxx = Round[Max[Table[mock2Dvalues[[i]][[1]], i, 1, L]]];

dx = Round[Subdivide[minx, maxx, 3]];

miny = Round[Min[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

maxy = Round[Max[Table[mock2Dvalues[[i]][[2]], i, 1, L]]];

dy = Round[Subdivide[miny, maxy, 3]];

gridpts = Tuples[dx, dy];


The following plot will allow you to visualize the grid and all the data points :



plt1 = ListPlot[gridpts, Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy, Epilog :> Blue, Point[mock2Dvalues]]


Mathematica graphics



The purpose of the following plot is to allow you to display the grid
points with the aid of Tooltip to define the following nine regions :



plt2 = ListPlot[Tooltip[gridpts], Frame -> True, PlotStyle -> Black, 
GridLines -> dx, dy]


Mathematica graphics



Here we define the nine cluster regions. We assign colors to the region names as a "mnemonic device" to associate the 2-D points with the regions that they belong-to, according to color. The colors are arbitrary :



 magentaregion = Rectangle[gridpts[[1]], gridpts[[6]]]

orangeregion = Rectangle[gridpts[[5]], gridpts[[10]]]

cyanregion = Rectangle[gridpts[[9]], gridpts[[14]]]

redregion = Rectangle[gridpts[[2]], gridpts[[7]]]

blueregion = Rectangle[gridpts[[6]], gridpts[[11]]]

greenregion = Rectangle[gridpts[[10]], gridpts[[15]]]

lightgrayregion = Rectangle[gridpts[[3]], gridpts[[8]]]

yellowregion = Rectangle[gridpts[[7]], gridpts[[12]]]

blackregion = Rectangle[gridpts[[11]], gridpts[[16]]]


Here we disburse the points according to the regions where they belong to :



magentapts = Select[mock2Dvalues, # [Element] magentaregion &]

orangepts = Select[mock2Dvalues, # [Element] orangeregion &]

cyanpts = Select[mock2Dvalues, # [Element] cyanregion &]

redpts = Select[mock2Dvalues, # [Element] redregion &]

bluepts = Select[mock2Dvalues, # [Element] blueregion &]

greenpts = Select[mock2Dvalues, # [Element] greenregion &]

lightgraypts = Select[mock2Dvalues, # [Element] lightgrayregion &]

yellowpts = Select[mock2Dvalues, # [Element] yellowregion &]

blackpts = Select[mock2Dvalues, # [Element] blackregion &]


The following plots are necessary to build the final chart below :



plt3 = ListPlot[magentapts, Frame -> True, PlotStyle -> Magenta, 
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt4 = ListPlot[orangepts, Frame -> True, PlotStyle -> Orange,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt5 = ListPlot[cyanpts, Frame -> True, PlotStyle -> Cyan,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt6 = ListPlot[redpts, Frame -> True, PlotStyle -> Red,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt7 = ListPlot[bluepts, Frame -> True, PlotStyle -> Blue,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt8 = ListPlot[greenpts, Frame -> True, PlotStyle -> Green,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt9 = ListPlot[lightgraypts, Frame -> True, PlotStyle -> LightGray,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt10 = ListPlot[yellowpts, Frame -> True, PlotStyle -> Yellow,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];

plt11 = ListPlot[blackpts, Frame -> True, PlotStyle -> Black,
GridLines -> dx, dy, PlotRange -> minx, maxx, miny, maxy,
AspectRatio -> 1];


This plot shows the nine-region cluster chart with the points colored by the region that they belong to :



finalchart = Show[plt3, plt4, plt5, plt6, plt7, plt8, plt9, plt10, plt11]


Mathematica graphics



Finally; we establish an association between the NAICS codes and their 2 - D points as follows:



mockdataWithNAICSlabels = 
Association[#[[1]] -> #[[2 ;; 3]] & /@ mockdataWithNAICS];

Dataset[mockdataWithNAICSlabels]


My question is: How can I associate the NAICS codes to their respective points BY COLORED REGION, so that if I use Tooltip; the NAICS codes will be displayed for each point in the above finalchart? Thank you!







plotting cluster-analysis






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 1 hour ago









J. M. will be back soon

101k10 gold badges317 silver badges477 bronze badges




101k10 gold badges317 silver badges477 bronze badges










asked 10 hours ago









Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi

7294 silver badges14 bronze badges




7294 silver badges14 bronze badges














  • $begingroup$
    Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
    $endgroup$
    – kglr
    10 hours ago










  • $begingroup$
    Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    10 hours ago










  • $begingroup$
    @kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    @Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
    $endgroup$
    – kglr
    8 hours ago
















  • $begingroup$
    Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
    $endgroup$
    – kglr
    10 hours ago










  • $begingroup$
    Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    10 hours ago










  • $begingroup$
    @kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    @Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
    $endgroup$
    – Gilmar Rodriguez Pierluissi
    9 hours ago











  • $begingroup$
    Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
    $endgroup$
    – kglr
    8 hours ago















$begingroup$
Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
$endgroup$
– kglr
10 hours ago




$begingroup$
Gilmar, a gentle reminder (if I may) re the comments following this post of yours re your previous questions
$endgroup$
– kglr
10 hours ago












$begingroup$
Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
$endgroup$
– Gilmar Rodriguez Pierluissi
10 hours ago




$begingroup$
Dear Carl @kglr: I read your answer at the time and accepted your answer. I'm not sure what you are trying to tell me? That was a different topic (and post) altogether. Please, elaborate if you must.
$endgroup$
– Gilmar Rodriguez Pierluissi
10 hours ago












$begingroup$
@kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
$endgroup$
– Gilmar Rodriguez Pierluissi
9 hours ago





$begingroup$
@kglr How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
$endgroup$
– Gilmar Rodriguez Pierluissi
9 hours ago













$begingroup$
@Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
$endgroup$
– Gilmar Rodriguez Pierluissi
9 hours ago





$begingroup$
@Carl Lange How do I accept answers retro-actively? When I review my old posts there are no green check marks to be checked any more. As I made clear before; I learned about pressing the green check mark recently and I have done it ever since. I have NOT left the green check marks unchecked intentionally or with malice. Thank you.
$endgroup$
– Gilmar Rodriguez Pierluissi
9 hours ago













$begingroup$
Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
$endgroup$
– kglr
8 hours ago




$begingroup$
Thank you Gilmar. This is strange; you should be able accept/unaccept anytime. Perhaps this calls for developer/moderator attention to fix whatever is wrong with the pages you are seeing.
$endgroup$
– kglr
8 hours ago










2 Answers
2






active

oldest

votes


















4














$begingroup$

I believe this has the intended functionality, with simplified code.



minx = Round[Min[mockdataWithNAICS[[All, 2]]]];
maxx = Round[Max[mockdataWithNAICS[[All, 2]]]];
dx = Round[Subdivide[minx, maxx, 3]];

miny = Round[Min[mockdataWithNAICS[[All, 3]]]];
maxy = Round[Max[mockdataWithNAICS[[All, 3]]]];
dy = Round[Subdivide[miny, maxy, 3]];

gridpts = Tuples[dx, dy];

regions =
Rectangle[gridpts[[1]], gridpts[[6]]],
Rectangle[gridpts[[5]], gridpts[[10]]],
Rectangle[gridpts[[9]], gridpts[[14]]],
Rectangle[gridpts[[2]], gridpts[[7]]],
Rectangle[gridpts[[6]], gridpts[[11]]],
Rectangle[gridpts[[10]], gridpts[[15]]],
Rectangle[gridpts[[3]], gridpts[[8]]],
Rectangle[gridpts[[7]], gridpts[[12]]],
Rectangle[gridpts[[11]], gridpts[[16]]];

pts = Table[
Select[mockdataWithNAICS, #[[2, 3]] [Element] r &], r, regions];

colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow,
Black;

ListPlot[Table[Tooltip[#[[2, 3]], #[[1]]] & /@ p, p, pts],
Frame -> True, PlotStyle -> colors, GridLines -> dx, dy,
PlotRange -> minx, maxx, miny, maxy, AspectRatio -> 1]


enter image description here






share|improve this answer











$endgroup$






















    2














    $begingroup$

    colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow, Black;

    tooltips = ##2 -> Tooltip[##2, #] & @@@ mockdataWithNAICS;

    dx, dy = Round[Subdivide[##, 3]] & @@@ (Round[MinMax@#] & /@
    Transpose[mockdataWithNAICS[[All, 2, 3]]]);


    You can use BinLists with dx and dy as horizontal and vertical bin delimiters to group the data into bins:



    binlists = Join @@ BinLists[mockdataWithNAICS[[All, 2, 3]], dx, dy];


    and use a single ListPlot to plot all groups:



    ListPlot[binlists /. tooltips, 
    Frame -> True,
    PlotStyle -> colors,
    GridLines -> dx, dy,
    BaseStyle -> PointSize[Large],
    Axes -> False,
    AspectRatio -> 1,
    PlotRange -> -10, 710, -10, 710]


    enter image description here



    With a minor modification in tooltips, you can also use BubbleChart



    tooltips2 = ##2 -> Tooltip[##2, 1, #] & @@@ mockdataWithNAICS;

    BubbleChart[binlists /. tooltips2,
    Frame -> True,
    ChartStyle -> colors,
    GridLines -> dx, dy,
    Axes -> False,
    BubbleSizes -> .02, .02,
    PlotRange -> -10, 710, -10, 710]


    enter image description here






    share|improve this answer











    $endgroup$

















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      2 Answers
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      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      4














      $begingroup$

      I believe this has the intended functionality, with simplified code.



      minx = Round[Min[mockdataWithNAICS[[All, 2]]]];
      maxx = Round[Max[mockdataWithNAICS[[All, 2]]]];
      dx = Round[Subdivide[minx, maxx, 3]];

      miny = Round[Min[mockdataWithNAICS[[All, 3]]]];
      maxy = Round[Max[mockdataWithNAICS[[All, 3]]]];
      dy = Round[Subdivide[miny, maxy, 3]];

      gridpts = Tuples[dx, dy];

      regions =
      Rectangle[gridpts[[1]], gridpts[[6]]],
      Rectangle[gridpts[[5]], gridpts[[10]]],
      Rectangle[gridpts[[9]], gridpts[[14]]],
      Rectangle[gridpts[[2]], gridpts[[7]]],
      Rectangle[gridpts[[6]], gridpts[[11]]],
      Rectangle[gridpts[[10]], gridpts[[15]]],
      Rectangle[gridpts[[3]], gridpts[[8]]],
      Rectangle[gridpts[[7]], gridpts[[12]]],
      Rectangle[gridpts[[11]], gridpts[[16]]];

      pts = Table[
      Select[mockdataWithNAICS, #[[2, 3]] [Element] r &], r, regions];

      colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow,
      Black;

      ListPlot[Table[Tooltip[#[[2, 3]], #[[1]]] & /@ p, p, pts],
      Frame -> True, PlotStyle -> colors, GridLines -> dx, dy,
      PlotRange -> minx, maxx, miny, maxy, AspectRatio -> 1]


      enter image description here






      share|improve this answer











      $endgroup$



















        4














        $begingroup$

        I believe this has the intended functionality, with simplified code.



        minx = Round[Min[mockdataWithNAICS[[All, 2]]]];
        maxx = Round[Max[mockdataWithNAICS[[All, 2]]]];
        dx = Round[Subdivide[minx, maxx, 3]];

        miny = Round[Min[mockdataWithNAICS[[All, 3]]]];
        maxy = Round[Max[mockdataWithNAICS[[All, 3]]]];
        dy = Round[Subdivide[miny, maxy, 3]];

        gridpts = Tuples[dx, dy];

        regions =
        Rectangle[gridpts[[1]], gridpts[[6]]],
        Rectangle[gridpts[[5]], gridpts[[10]]],
        Rectangle[gridpts[[9]], gridpts[[14]]],
        Rectangle[gridpts[[2]], gridpts[[7]]],
        Rectangle[gridpts[[6]], gridpts[[11]]],
        Rectangle[gridpts[[10]], gridpts[[15]]],
        Rectangle[gridpts[[3]], gridpts[[8]]],
        Rectangle[gridpts[[7]], gridpts[[12]]],
        Rectangle[gridpts[[11]], gridpts[[16]]];

        pts = Table[
        Select[mockdataWithNAICS, #[[2, 3]] [Element] r &], r, regions];

        colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow,
        Black;

        ListPlot[Table[Tooltip[#[[2, 3]], #[[1]]] & /@ p, p, pts],
        Frame -> True, PlotStyle -> colors, GridLines -> dx, dy,
        PlotRange -> minx, maxx, miny, maxy, AspectRatio -> 1]


        enter image description here






        share|improve this answer











        $endgroup$

















          4














          4










          4







          $begingroup$

          I believe this has the intended functionality, with simplified code.



          minx = Round[Min[mockdataWithNAICS[[All, 2]]]];
          maxx = Round[Max[mockdataWithNAICS[[All, 2]]]];
          dx = Round[Subdivide[minx, maxx, 3]];

          miny = Round[Min[mockdataWithNAICS[[All, 3]]]];
          maxy = Round[Max[mockdataWithNAICS[[All, 3]]]];
          dy = Round[Subdivide[miny, maxy, 3]];

          gridpts = Tuples[dx, dy];

          regions =
          Rectangle[gridpts[[1]], gridpts[[6]]],
          Rectangle[gridpts[[5]], gridpts[[10]]],
          Rectangle[gridpts[[9]], gridpts[[14]]],
          Rectangle[gridpts[[2]], gridpts[[7]]],
          Rectangle[gridpts[[6]], gridpts[[11]]],
          Rectangle[gridpts[[10]], gridpts[[15]]],
          Rectangle[gridpts[[3]], gridpts[[8]]],
          Rectangle[gridpts[[7]], gridpts[[12]]],
          Rectangle[gridpts[[11]], gridpts[[16]]];

          pts = Table[
          Select[mockdataWithNAICS, #[[2, 3]] [Element] r &], r, regions];

          colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow,
          Black;

          ListPlot[Table[Tooltip[#[[2, 3]], #[[1]]] & /@ p, p, pts],
          Frame -> True, PlotStyle -> colors, GridLines -> dx, dy,
          PlotRange -> minx, maxx, miny, maxy, AspectRatio -> 1]


          enter image description here






          share|improve this answer











          $endgroup$



          I believe this has the intended functionality, with simplified code.



          minx = Round[Min[mockdataWithNAICS[[All, 2]]]];
          maxx = Round[Max[mockdataWithNAICS[[All, 2]]]];
          dx = Round[Subdivide[minx, maxx, 3]];

          miny = Round[Min[mockdataWithNAICS[[All, 3]]]];
          maxy = Round[Max[mockdataWithNAICS[[All, 3]]]];
          dy = Round[Subdivide[miny, maxy, 3]];

          gridpts = Tuples[dx, dy];

          regions =
          Rectangle[gridpts[[1]], gridpts[[6]]],
          Rectangle[gridpts[[5]], gridpts[[10]]],
          Rectangle[gridpts[[9]], gridpts[[14]]],
          Rectangle[gridpts[[2]], gridpts[[7]]],
          Rectangle[gridpts[[6]], gridpts[[11]]],
          Rectangle[gridpts[[10]], gridpts[[15]]],
          Rectangle[gridpts[[3]], gridpts[[8]]],
          Rectangle[gridpts[[7]], gridpts[[12]]],
          Rectangle[gridpts[[11]], gridpts[[16]]];

          pts = Table[
          Select[mockdataWithNAICS, #[[2, 3]] [Element] r &], r, regions];

          colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow,
          Black;

          ListPlot[Table[Tooltip[#[[2, 3]], #[[1]]] & /@ p, p, pts],
          Frame -> True, PlotStyle -> colors, GridLines -> dx, dy,
          PlotRange -> minx, maxx, miny, maxy, AspectRatio -> 1]


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 7 hours ago

























          answered 8 hours ago









          MelaGoMelaGo

          2,9111 gold badge2 silver badges8 bronze badges




          2,9111 gold badge2 silver badges8 bronze badges


























              2














              $begingroup$

              colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow, Black;

              tooltips = ##2 -> Tooltip[##2, #] & @@@ mockdataWithNAICS;

              dx, dy = Round[Subdivide[##, 3]] & @@@ (Round[MinMax@#] & /@
              Transpose[mockdataWithNAICS[[All, 2, 3]]]);


              You can use BinLists with dx and dy as horizontal and vertical bin delimiters to group the data into bins:



              binlists = Join @@ BinLists[mockdataWithNAICS[[All, 2, 3]], dx, dy];


              and use a single ListPlot to plot all groups:



              ListPlot[binlists /. tooltips, 
              Frame -> True,
              PlotStyle -> colors,
              GridLines -> dx, dy,
              BaseStyle -> PointSize[Large],
              Axes -> False,
              AspectRatio -> 1,
              PlotRange -> -10, 710, -10, 710]


              enter image description here



              With a minor modification in tooltips, you can also use BubbleChart



              tooltips2 = ##2 -> Tooltip[##2, 1, #] & @@@ mockdataWithNAICS;

              BubbleChart[binlists /. tooltips2,
              Frame -> True,
              ChartStyle -> colors,
              GridLines -> dx, dy,
              Axes -> False,
              BubbleSizes -> .02, .02,
              PlotRange -> -10, 710, -10, 710]


              enter image description here






              share|improve this answer











              $endgroup$



















                2














                $begingroup$

                colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow, Black;

                tooltips = ##2 -> Tooltip[##2, #] & @@@ mockdataWithNAICS;

                dx, dy = Round[Subdivide[##, 3]] & @@@ (Round[MinMax@#] & /@
                Transpose[mockdataWithNAICS[[All, 2, 3]]]);


                You can use BinLists with dx and dy as horizontal and vertical bin delimiters to group the data into bins:



                binlists = Join @@ BinLists[mockdataWithNAICS[[All, 2, 3]], dx, dy];


                and use a single ListPlot to plot all groups:



                ListPlot[binlists /. tooltips, 
                Frame -> True,
                PlotStyle -> colors,
                GridLines -> dx, dy,
                BaseStyle -> PointSize[Large],
                Axes -> False,
                AspectRatio -> 1,
                PlotRange -> -10, 710, -10, 710]


                enter image description here



                With a minor modification in tooltips, you can also use BubbleChart



                tooltips2 = ##2 -> Tooltip[##2, 1, #] & @@@ mockdataWithNAICS;

                BubbleChart[binlists /. tooltips2,
                Frame -> True,
                ChartStyle -> colors,
                GridLines -> dx, dy,
                Axes -> False,
                BubbleSizes -> .02, .02,
                PlotRange -> -10, 710, -10, 710]


                enter image description here






                share|improve this answer











                $endgroup$

















                  2














                  2










                  2







                  $begingroup$

                  colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow, Black;

                  tooltips = ##2 -> Tooltip[##2, #] & @@@ mockdataWithNAICS;

                  dx, dy = Round[Subdivide[##, 3]] & @@@ (Round[MinMax@#] & /@
                  Transpose[mockdataWithNAICS[[All, 2, 3]]]);


                  You can use BinLists with dx and dy as horizontal and vertical bin delimiters to group the data into bins:



                  binlists = Join @@ BinLists[mockdataWithNAICS[[All, 2, 3]], dx, dy];


                  and use a single ListPlot to plot all groups:



                  ListPlot[binlists /. tooltips, 
                  Frame -> True,
                  PlotStyle -> colors,
                  GridLines -> dx, dy,
                  BaseStyle -> PointSize[Large],
                  Axes -> False,
                  AspectRatio -> 1,
                  PlotRange -> -10, 710, -10, 710]


                  enter image description here



                  With a minor modification in tooltips, you can also use BubbleChart



                  tooltips2 = ##2 -> Tooltip[##2, 1, #] & @@@ mockdataWithNAICS;

                  BubbleChart[binlists /. tooltips2,
                  Frame -> True,
                  ChartStyle -> colors,
                  GridLines -> dx, dy,
                  Axes -> False,
                  BubbleSizes -> .02, .02,
                  PlotRange -> -10, 710, -10, 710]


                  enter image description here






                  share|improve this answer











                  $endgroup$



                  colors = Magenta, Orange, Cyan, Red, Blue, Green, LightGray, Yellow, Black;

                  tooltips = ##2 -> Tooltip[##2, #] & @@@ mockdataWithNAICS;

                  dx, dy = Round[Subdivide[##, 3]] & @@@ (Round[MinMax@#] & /@
                  Transpose[mockdataWithNAICS[[All, 2, 3]]]);


                  You can use BinLists with dx and dy as horizontal and vertical bin delimiters to group the data into bins:



                  binlists = Join @@ BinLists[mockdataWithNAICS[[All, 2, 3]], dx, dy];


                  and use a single ListPlot to plot all groups:



                  ListPlot[binlists /. tooltips, 
                  Frame -> True,
                  PlotStyle -> colors,
                  GridLines -> dx, dy,
                  BaseStyle -> PointSize[Large],
                  Axes -> False,
                  AspectRatio -> 1,
                  PlotRange -> -10, 710, -10, 710]


                  enter image description here



                  With a minor modification in tooltips, you can also use BubbleChart



                  tooltips2 = ##2 -> Tooltip[##2, 1, #] & @@@ mockdataWithNAICS;

                  BubbleChart[binlists /. tooltips2,
                  Frame -> True,
                  ChartStyle -> colors,
                  GridLines -> dx, dy,
                  Axes -> False,
                  BubbleSizes -> .02, .02,
                  PlotRange -> -10, 710, -10, 710]


                  enter image description here







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited 4 hours ago

























                  answered 5 hours ago









                  kglrkglr

                  218k10 gold badges248 silver badges499 bronze badges




                  218k10 gold badges248 silver badges499 bronze badges































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