Visualize the data in 3d
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X is a 138x3 matrix and Y is a vector has 138 entries
x1 denotes the first column of X and x2 denotes the second colum of X.
I want to plot a 3d scatter plot to visualize these two data sets vs Y, along with a line of the model as the image shown.
i already calculated the theta.
how to present the model in 3d plot by using fine grid points? The model has two variables so i am stucked here.
回答(1 个)
Ashutosh Bajpai
2023-2-17
To plot the model in a 3D scatter plot along with the data points, you can use the scatter3 function in MATLAB to plot the data points, and then use the meshgrid and mesh functions to create a 3D surface plot of the model. Here's how you can do this:
- Create a grid of X1 and X2 values using the 'meshgrid' function
- Calculate the model's predictions on the grid of X1 and X2 values
- Plot the data points using the scatter3 function
- Plot the model's predictions using the mesh function
The resulting plot should show the data points as a scatter plot, and the model as a surface plot. You can adjust the appearance of the plot using the various options and arguments available in the scatter3 and mesh functions.
Code for Reference:
x1 = X(:,1);
x2 = X(:,2);
min_x1 = min(x1);
max_x1 = max(x1);
min_x2 = min(x2);
max_x2 = max(x2);
[X1, X2] = meshgrid(linspace(min_x1, max_x1, 100), linspace(min_x2, max_x2, 100));
Z = theta(1) + theta(2)*X1 + theta(3)*X2;
scatter3(x1, x2, Y, '.');
hold on;
mesh(X1, X2, Z);
xlabel('X1');
ylabel('X2');
zlabel('Y');
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