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I would like to to know the equation of a plane of best fit using a set of 20 xyz coordinates. I can do it using the SF tool but I would like to know the code to run for my data to get it in the command bar and without using the cumbersome SFtool
Once I have the equation I would like to find the point on the plane where a line crosses it. This line would be in a parametric format.
Many thanks kg
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If you set up a matrix X with three columns containing your x values, your y values, and a column of twenty ones, and set up a Y column vector containing your z values, then
b = X\y
will return the least-squares coefficient estimates. This is the least squares solution in the sense of minimizing the errors in the z direction.