[Mathematica]Plotting 3D line with data point

[whizsix]

I can use the Show function to combine multiple plots, so I know how to plot data points and a calculated fit line in 2D, but now I want to do the same in 3 dimensions. I can plot the data points just fine in 3D, but I don't know how to draw a straight line with a know equation in 3D.
My equation is of the form z=beta0 + beta1 x + beta2 y, and Plot3D just gives a blank output with that equation as input (I think because it expects to plot a surface a not a line). Thanks in advanced for any help!

 

[NateD]

You can use the ParametricPlot3D function to achieve this. This function takes three equations, one for each of the x, y and z coordinates, and plots the line that would be formed by all the points that satisfy these equations. In your case, the three equations you would need are:x = x y = yz = beta0 + beta1*x + beta2*yYou can then use the ParametricPlot3D function with these three equations as arguments, and it should plot the straight line you require in 3D.

 

[oswaler]

Hello there,

Thank you for reaching out to me with your question about plotting a 3D line with data points using Mathematica. I understand the importance of being able to visualize and analyze data in multiple dimensions.

To plot a 3D line with data points in Mathematica, you can use the ParametricPlot3D function. This function takes in the x, y, and z coordinates of your line and plots it in 3D space. In your case, you can use the parameters beta0, beta1, and beta2 as the x, y, and z coordinates respectively.

Here is an example of how you can use the ParametricPlot3D function to plot a 3D line with data points based on your equation:

ParametricPlot3D[{beta1, beta2, beta0 + beta1*x + beta2*y}, {x, 0, 10}, {y, 0, 10},
PlotStyle -> {Red, Thickness[0.01]}, PlotRange -> All,
Epilog -> {PointSize[0.02], Point[{{1, 2, 5}, {3, 4, 7}, {6, 8, 9}}]}]

This code will plot a red line with the equation z=beta0 + beta1 x + beta2 y, along with three data points at (1,2,5), (3,4,7), and (6,8,9). You can change the values of beta0, beta1, and beta2 to fit your specific equation and the range of x and y to fit your data points.

I hope this helps you to plot your 3D line with data points using Mathematica. If you have any further questions, please don't hesitate to reach out to me.

Best,