Creating a 3D surface plot from a data of 3 variables and 1 response

Question

lvenG 2022-11-4

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1843558-creating-a-3d-surface-plot-from-a-data-of-3-variables-and-1-response

评论： Benjamin Campbell 2022-11-14

Based on the below data, how can I create a surface plot with a colorbar for the response given data below: Hoping for your kind help!

A=[195 65 195 65 195 65 195 65]; %parameter 1

B=[120 120 150 150 120 120 150 150]; %parameter 2

C=[2 2 2 2 1 1 1 1]; %parameter 3

Y=[527 570 537 549 728 780 725 748]; %response

I have made a code below that represents a scatter plot, however, I wanted to know how I can do a surface plot with the response represented in the colorbar. Hoping for someone's help.

clc;

close all;

A=[195 65 195 65 195 65 195 65]; %parameter 1

B=[120 120 150 150 120 120 150 150]; %parameter 2

C=[2 2 2 2 1 1 1 1]; %parameter 3

Y=[527 570 537 549 728 780 725 748]; %response

scatter3(A,B,C,8,Y,'filled') % draw the scatter plot

ax = gca;

ax.XDir = 'reverse';

view(-31,14)

xlabel('Parameter 1')

ylabel('Parameter 2')

zlabel('Parameter 3')

cb = colorbar; % create and label the colorbar

cb.Label.String = 'Response';

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Answer 1

Benjamin Campbell 2022-11-4

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1843558-creating-a-3d-surface-plot-from-a-data-of-3-variables-and-1-response#answer_1091413

You are trying to represent 4 dimensions which you can do in 3 spatial dimensions, and the fourth dimension colour. If you wanted it to be more like a surface plot it would have to be a cube of continuous colour changes which is impossible to see.

I would recommend breaking the data up into two surface plots and using:

https://ch.mathworks.com/help/matlab/ref/surf.html