Correlation as the Cosine of an Angle

Another view of correlation. Take the points and standardize them. Write the x-coordinates as a vector, and the y-coordinates as a vector. The cosine of the angle formed by these two vectors is the correlation. The line in the xy-coordinate plane is the LSRL. Be certain to tilt and rotate the view to see it from other angles.

 

Steve Phelps

 
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conics  correlation  cosine 
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