Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Question

Answer the question using matlab and show your steps & work

Read the example below carefully, understand how scatter plots are generated. And answer the following two questions. rng(1); % Generate random data for Cluster 1 x1 = randn (100, 1); y12randn(100, 1); z1 3 randn(100, 1); s1 = 20 + 80 * rand(100, 1); % Random points along X % Spread along Y-axis % Spread along Z-axis % Random marker sizes for Cluster 1 % Shifted along X-axis % Generate random data for Cluster 2 x26+randn(100, 1); y262randn (100, 1); randn(100, 1); z2 s2 = 20 + 80 * rand(100, 1); % Shifted and spread along Y-axis % Standard normal distribution along Z % Random marker sizes for Cluster 2 % Generate random data for Cluster 3 x3 -6 + 1.5 * randn(100, 1); y3-61.5 randn (100, 1); z3-32 s3 20+80 randn(100, 1); rand(100, 1); % Create the 3D scatter plot figure; % Shifted and spread along X-axis % Shifted and spread along Y-axis % Shifted and spread along Z-axis % Random marker sizes for Cluster 3 % Plot Cluster 1 with semi-transparent blue circles scatter3(x1, y1, z1, s1, 'MarkerEdgeColor', 'b', 'MarkerFaceColor', 'b', 'Marker FaceAlpha', 0.5); hold on; % Plot Cluster 2 with semi-transparent red diamonds scatter3(x2, y2, 22, s2, 'd', 'MarkerEdgeColor', 'g', 'MarkerFaceColor', 'g', 'MarkerFaceAlpha', 0.5); % Plot Cluster 3 with semi-transparent green squares scatter3(x3, y3, z3, s3, 's', 'MarkerEdgeColor', 'r', 'MarkerFaceColor', 'r', 'MarkerFaceAlpha', 0.5); % Customize the plot title('3D Scatter Plot of Three Clusters'); xlabel('X-axis'); ylabel('Y-axis'); zlabel('Z-axis'); legend('Cluster 1', 'Cluster 2', 'Cluster 3'); grid on; hold off; Question 3. What type of data format is suitable for 3d scatter plotting? Question 4. Please provide two engineering examples that 3d scatter plots are most appropriate for. Please include rationales for your choice.
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Transcribed Image Text:Read the example below carefully, understand how scatter plots are generated. And answer the following two questions. rng(1); % Generate random data for Cluster 1 x1 = randn (100, 1); y12randn(100, 1); z1 3 randn(100, 1); s1 = 20 + 80 * rand(100, 1); % Random points along X % Spread along Y-axis % Spread along Z-axis % Random marker sizes for Cluster 1 % Shifted along X-axis % Generate random data for Cluster 2 x26+randn(100, 1); y262randn (100, 1); randn(100, 1); z2 s2 = 20 + 80 * rand(100, 1); % Shifted and spread along Y-axis % Standard normal distribution along Z % Random marker sizes for Cluster 2 % Generate random data for Cluster 3 x3 -6 + 1.5 * randn(100, 1); y3-61.5 randn (100, 1); z3-32 s3 20+80 randn(100, 1); rand(100, 1); % Create the 3D scatter plot figure; % Shifted and spread along X-axis % Shifted and spread along Y-axis % Shifted and spread along Z-axis % Random marker sizes for Cluster 3 % Plot Cluster 1 with semi-transparent blue circles scatter3(x1, y1, z1, s1, 'MarkerEdgeColor', 'b', 'MarkerFaceColor', 'b', 'Marker FaceAlpha', 0.5); hold on; % Plot Cluster 2 with semi-transparent red diamonds scatter3(x2, y2, 22, s2, 'd', 'MarkerEdgeColor', 'g', 'MarkerFaceColor', 'g', 'MarkerFaceAlpha', 0.5); % Plot Cluster 3 with semi-transparent green squares scatter3(x3, y3, z3, s3, 's', 'MarkerEdgeColor', 'r', 'MarkerFaceColor', 'r', 'MarkerFaceAlpha', 0.5); % Customize the plot title('3D Scatter Plot of Three Clusters'); xlabel('X-axis'); ylabel('Y-axis'); zlabel('Z-axis'); legend('Cluster 1', 'Cluster 2', 'Cluster 3'); grid on; hold off; Question 3. What type of data format is suitable for 3d scatter plotting? Question 4. Please provide two engineering examples that 3d scatter plots are most appropriate for. Please include rationales for your choice.
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