Correlation as a Geometric Mean of Slopes

Take points A, B, C, D, and E and construct their LSRL. Next, switch the x- and y-coordinates of these points A'. B', C'. D', and E'. This is equivalent to reflecting these points over the line y = x. Construct the LSRL of these reflected points. The correlation of both sets of points are the same, and it is the [b]geometric mean of the slopes of the two LSRL[/b].

 

Steve Phelps

 
Resource Type
Activity
Tags
conics  correlation  geometric-mean 
Target Group (Age)
3 – 19+
Language
English
 
 
GeoGebra version
5.0
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2488
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