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[ap-stat] r^2
Posted:
Oct 20, 2005 7:28 AM
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Hello all,
Whenever we talk about r^2 and it being the fraction of the variation in
the values of y that is explained by least-squares regression of y on x,
my students eyes glaze over and they look at me like I am crazy. I would
like a simpler way to explain, but am not sure if I am right.
For example if r^2=.3562, then 35.62% of the variation can be explained by
the linear relationship... does that mean that 35.62% of the data points
are close to the LSRL and that 64.38% of the points are more spread out?
Is there a better way of expaining this to students?
Thanks,
Tara
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