draw the centered data on the same axes as the raw data

draw the centered data on the same axes as the raw data given 12 samples of the raw data

x y

2 125

7 110

8 287

10 200

6 350

15 280

4 400

13 370

12 480

10 420

19 540

22 518

Answer 1

[Umar]

Hi @ NAFISA SIDDIQUI,

If I comprehend your instructions by looking at the Cartesian coordinate graph displaying all four quadrants on x and y axis. Then, please see modified updated codes below. You can customize the codes based on your preferences.

So, in the first modified code which shows both comparison and centered data on the same plot. The first part of the code remains the same while the visualization part is modified. So, in the visualization step, it creates a scatter plot for both the raw and centered data, using blue and red markers, respectively. The plot is further enhanced with titles, axis labels, and a legend for clarity. Additionally, the axis limits are set so that both datasets are visible, and the axes are positioned at the origin for better interpretation. Finally, a grid is added to the plot, improving the overall readability. Here is first updated code below.

Updated Code#1

% Step 1: Define the raw data
WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 
540, 518];

% Step 2: Center the data
meanWireLength = mean(WireLength);
meanDieHeight = mean(DieHeight);

centeredWireLength = WireLength - meanWireLength;
centeredDieHeight = DieHeight - meanDieHeight;

% Step 3: Create the scatter plots
figure; % Create a new figure window

% Plot raw data
scatter(WireLength, DieHeight, 'filled', 'MarkerFaceColor', 'b');
hold on; % Hold on to the current plot

% Plot centered data
scatter(centeredWireLength, centeredDieHeight, 'filled',   
'MarkerFaceColor', 'r');

% Step 4: Customize the plot
title('Raw Data and Centered Data');
xlabel('Wire Length');
ylabel('Die Height');
legend('Raw Data', 'Centered Data', 'Location', 'best');

% Step 5: Set axis limits to ensure both plots are visible
xlim([-max(WireLength) max(WireLength)]); % Set x-axis limits
ylim([-max(DieHeight) max(DieHeight)]);   % Set y-axis limits

% Step 6: Add x and y axes
ax = gca; % Get current axes
ax.XAxisLocation = 'origin'; % Set x-axis to the origin
ax.YAxisLocation = 'origin'; % Set y-axis to the origin
ax.XColor = 'k'; % Set x-axis color
ax.YColor = 'k'; % Set y-axis color

% Step 7: Add a grid for better visualization
grid on;

% Step 8: Display the plot
hold off; % Release the hold on the current plot

Please see attached plot.

Updated code#2

Comparison of raw data and centered data

% Step 1: Define the raw data
WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 
540, 518];

% Step 2: Center the data
meanWireLength = mean(WireLength);
meanDieHeight = mean(DieHeight);

centeredWireLength = WireLength - meanWireLength;
centeredDieHeight = DieHeight - meanDieHeight;

% Step 3: Create the figure window
figure; % Create a new figure window

% Step 4: Create the first subplot for raw data
subplot(1, 2, 1); % 1 row, 2 columns, first subplot
scatter(WireLength, DieHeight, 'filled', 'MarkerFaceColor', 'b');
title('Raw Data');
xlabel('Wire Length');
ylabel('Die Height');
xlim([-max(WireLength) max(WireLength)]); % Set x-axis limits
ylim([-max(DieHeight) max(DieHeight)]);   % Set y-axis limits
grid on; % Add grid for better visualization
ax1 = gca; % Get current axes for raw data
ax1.XAxisLocation = 'origin'; % Set x-axis to the origin
ax1.YAxisLocation = 'origin'; % Set y-axis to the origin
ax1.XColor = 'k'; % Set x-axis color
ax1.YColor = 'k'; % Set y-axis color

% Step 5: Create the second subplot for centered data
subplot(1, 2, 2); % 1 row, 2 columns, second subplot
scatter(centeredWireLength, centeredDieHeight, 'filled',   
'MarkerFaceColor', 'r');
title('Centered Data');
xlabel('Centered Wire Length');
ylabel('Centered Die Height');
xlim([-max(centeredWireLength) max(centeredWireLength)]); % Set  
x-axis limits
ylim([-max(centeredDieHeight) max(centeredDieHeight)]);   % Set 
y-axis limits
grid on; % Add grid for better visualization
ax2 = gca; % Get current axes for centered data
ax2.XAxisLocation = 'origin'; % Set x-axis to the origin
ax2.YAxisLocation = 'origin'; % Set y-axis to the origin
ax2.XColor = 'k'; % Set x-axis color
ax2.YColor = 'k'; % Set y-axis color

% Step 6: Adjust layout for better visibility
sgtitle('Comparison of Raw Data and Centered Data'); % Add a     
super title for the figure

Please see attached plot.

Explanation

*The subplot(1, 2, 1) and subplot(1, 2, 2) commands create a 1-row by 2-column grid of subplots. The first subplot is designated for the raw data, while the second subplot is for the centered data.

*Each subplot contains a scatter plot. The first subplot visualizes the raw data in blue, while the second subplot visualizes the centered data in red.

*Each subplot has its own title and axis labels to clearly indicate what data is being represented.

*Axis Limits and Grid: The axis limits are set so that all data points are visible, and grids are added for better readability.

*The sgtitle function is used to add a super title to the entire figure, providing context for the comparison.

The reason for providing two codes is because then another comment will be posted mentioning that I wanted two plots next to each other. So, to make it easy for you, I provided both codes to suit your preferences. Hope this answers your question.

Answer 2

[Shashi Kiran]

Hi @NAFISA SIDDIQUI,

To plot the "Wire Length" vs. "Die Height" along with their centred data on the same plot, you can follow these steps:

• Find the centred data

% Raw data
WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 540, 518];

% Calculate the means
mean_WireLength = mean(WireLength);
mean_DieHeight = mean(DieHeight);

% Center the data
centered_WireLength = WireLength - mean_WireLength;
centered_DieHeight = DieHeight - mean_DieHeight;

• Use the `scatter` function to plot both the raw and centred data on the same graph. To overlay these plots on the same axes, utilize the `hold on` command, which retains the current figure and any plots until `hold off` is called.

% Plot the raw data
figure;
scatter(WireLength, DieHeight, 'b', 'filled');
hold on;

% Plot the centered data
scatter(centered_WireLength, centered_DieHeight, 'r', 'filled');

% Add labels, title, and legend
xlabel('Wire Length');
ylabel('Die Height');
title('Raw vs Centered Data');
legend('Raw Data', 'Centered Data');
grid on;

% Display the plot
hold off;

You can find the below resources useful.

1. https://www.mathworks.com/help/matlab/ref/scatter.html?s_tid=doc_ta
2. https://www.mathworks.com/help/matlab/ref/hold.html

Hope this helps!

[Umar]

Hi @NAFISA SIDDIQUI ,

To achieve your given goal in Matlab, first you need to initialize two arrays, WireLength and DieHeight, which represent the raw data for wire lengths and corresponding die heights.

WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 540, 518];

Next, implement code which calculates the mean of both datasets and centers the data by subtracting the mean from each data point. This step is crucial for analyzing the data without the influence of the mean.

meanWireLength = mean(WireLength);
meanDieHeight = mean(DieHeight);
centeredWireLength = WireLength - meanWireLength;
centeredDieHeight = DieHeight - meanDieHeight;

Afterwards, set up a figure for plotting. The hold on command allows multiple datasets to be plotted on the same graph.

figure;
hold on; % Hold on to plot multiple datasets

The raw data is plotted using blue circles connected by lines. The DisplayName property is set for the legend.

plot(WireLength, DieHeight, 'bo-', 'DisplayName', 'Raw Data'); % Raw data in     
blue

Similarly, the centered data is plotted using red stars connected by lines. This visual distinction helps in comparing the two datasets effectively.

plot(centeredWireLength, centeredDieHeight, 'r*-', 'DisplayName', 'Centered   
Data'); % Centered data in red

After plotting both datasets, the figure is finalized by adding labels, a title, a legend, and a grid for better readability.

hold off; % Release the hold on the current figure xlabel('Wire Length'); ylabel('Die Height'); title('Raw and Centered Data Visualization'); legend('show'); grid on; % Add grid for better readability

Please see attached.

Please let me know if you have any further questions.

[N/A]

Hello Shashi and Umar, I might have been not clear about what I wanted. What I wanted was ONLY the centered data to be graphed on the same axis as the raw data. For reference below I am attaching two graphs examples , one which is the scatterplot of the raw data and another the scatterplot of ONLY the centered data.

The above scatterplot is for the raw data

The above scatterplot is for the centered data ONLY

Notice that the axis, X1 and X2 stays the same for both and this is what I want. Hope this is now clear. Thankyou!

[Umar]

Hi @ NAFISA SIDDIQUI,

If I comprehend your instructions by looking at the Cartesian coordinate graph displaying all four quadrants on x and y axis. Then, please see modified updated codes below. You can customize the codes based on your preferences.

So, in the first modified code which shows both comparison and centered data on the same plot. The first part of the code remains the same while the visualization part is modified. So, in the visualization step, it creates a scatter plot for both the raw and centered data, using blue and red markers, respectively. The plot is further enhanced with titles, axis labels, and a legend for clarity. Additionally, the axis limits are set so that both datasets are visible, and the axes are positioned at the origin for better interpretation. Finally, a grid is added to the plot, improving the overall readability. Here is first updated code below.

Updated Code#1

% Step 1: Define the raw data
WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 
540, 518];

% Step 2: Center the data
meanWireLength = mean(WireLength);
meanDieHeight = mean(DieHeight);

centeredWireLength = WireLength - meanWireLength;
centeredDieHeight = DieHeight - meanDieHeight;

% Step 3: Create the scatter plots
figure; % Create a new figure window

% Plot raw data
scatter(WireLength, DieHeight, 'filled', 'MarkerFaceColor', 'b');
hold on; % Hold on to the current plot

% Plot centered data
scatter(centeredWireLength, centeredDieHeight, 'filled',   
'MarkerFaceColor', 'r');

% Step 4: Customize the plot
title('Raw Data and Centered Data');
xlabel('Wire Length');
ylabel('Die Height');
legend('Raw Data', 'Centered Data', 'Location', 'best');

% Step 5: Set axis limits to ensure both plots are visible
xlim([-max(WireLength) max(WireLength)]); % Set x-axis limits
ylim([-max(DieHeight) max(DieHeight)]);   % Set y-axis limits

% Step 6: Add x and y axes
ax = gca; % Get current axes
ax.XAxisLocation = 'origin'; % Set x-axis to the origin
ax.YAxisLocation = 'origin'; % Set y-axis to the origin
ax.XColor = 'k'; % Set x-axis color
ax.YColor = 'k'; % Set y-axis color

% Step 7: Add a grid for better visualization
grid on;

% Step 8: Display the plot
hold off; % Release the hold on the current plot

Please see attached plot.

Updated code#2

Comparison of raw data and centered data

% Step 1: Define the raw data
WireLength = [1, 4, 5, 6, 8, 10, 12, 14, 13, 18, 19, 22];
DieHeight = [125, 110, 287, 200, 350, 280, 400, 370, 480, 420, 
540, 518];

% Step 2: Center the data
meanWireLength = mean(WireLength);
meanDieHeight = mean(DieHeight);

centeredWireLength = WireLength - meanWireLength;
centeredDieHeight = DieHeight - meanDieHeight;

% Step 3: Create the figure window
figure; % Create a new figure window

% Step 4: Create the first subplot for raw data
subplot(1, 2, 1); % 1 row, 2 columns, first subplot
scatter(WireLength, DieHeight, 'filled', 'MarkerFaceColor', 'b');
title('Raw Data');
xlabel('Wire Length');
ylabel('Die Height');
xlim([-max(WireLength) max(WireLength)]); % Set x-axis limits
ylim([-max(DieHeight) max(DieHeight)]);   % Set y-axis limits
grid on; % Add grid for better visualization
ax1 = gca; % Get current axes for raw data
ax1.XAxisLocation = 'origin'; % Set x-axis to the origin
ax1.YAxisLocation = 'origin'; % Set y-axis to the origin
ax1.XColor = 'k'; % Set x-axis color
ax1.YColor = 'k'; % Set y-axis color

% Step 5: Create the second subplot for centered data
subplot(1, 2, 2); % 1 row, 2 columns, second subplot
scatter(centeredWireLength, centeredDieHeight, 'filled',   
'MarkerFaceColor', 'r');
title('Centered Data');
xlabel('Centered Wire Length');
ylabel('Centered Die Height');
xlim([-max(centeredWireLength) max(centeredWireLength)]); % Set  
x-axis limits
ylim([-max(centeredDieHeight) max(centeredDieHeight)]);   % Set 
y-axis limits
grid on; % Add grid for better visualization
ax2 = gca; % Get current axes for centered data
ax2.XAxisLocation = 'origin'; % Set x-axis to the origin
ax2.YAxisLocation = 'origin'; % Set y-axis to the origin
ax2.XColor = 'k'; % Set x-axis color
ax2.YColor = 'k'; % Set y-axis color

% Step 6: Adjust layout for better visibility
sgtitle('Comparison of Raw Data and Centered Data'); % Add a     
super title for the figure

Please see attached plot.

Explanation

*The subplot(1, 2, 1) and subplot(1, 2, 2) commands create a 1-row by 2-column grid of subplots. The first subplot is designated for the raw data, while the second subplot is for the centered data.

*Each subplot contains a scatter plot. The first subplot visualizes the raw data in blue, while the second subplot visualizes the centered data in red.

*Each subplot has its own title and axis labels to clearly indicate what data is being represented.

*Axis Limits and Grid: The axis limits are set so that all data points are visible, and grids are added for better readability.

*The sgtitle function is used to add a super title to the entire figure, providing context for the comparison.

The reason for providing two codes is because then another comment will be posted mentioning that I wanted two plots next to each other. So, to make it easy for you, I provided both codes to suit your preferences. Hope this answers your question.

[N/A]

Thank you Umar!!!

[Umar]

Hi @NAFISA SIDDIQUI,

You are welcome. Please don’t forget to click “Accept answer” and vote. If you have further questions, please let us know.

[N/A]

Hello Umar I dont see the accept answer under your name I see it under Shashi Kiran name. Do I accept the answer under her name?

[Umar]

Hi @ NAFISA SIDDIQUI,

I forgot to mention it under answer text box. Hope, this should resolve the problem now.

[Image Analyst]

I don't understand. The original poster was @NATASHA, not Nafisa Siddiqui, and the original post didn't mention anything about wire length. What's going on?

[Umar]

Hi @Image Analyst,

I have no clue.