#### • Class 11 Physics Demo

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#### • formula for r

Question:

Question:My homework assignment says I can calculate the basic R2 based on the data given, to determine which of the two has a higher R2 Equation 1: adjusted R2 is .624 and N is 41 Equation 2: adjusted R2 is .532 and N is 44 Wouldn't R2 be higher for equation 1? The difference in degrees of freedom is so small it couldn't be enough for a .10 swing. Still curious how the calculation would be done! Thanks!

Answers:http://en.wikipedia.org/wiki/Coefficient_of_determination#Adjusted_R2 gives the formula. If A is adjusted R-squared and R2 is ordinary R-squared, wikipedia gives: A = 1-(1-R2) (n-1)/(n-p-1) rearranging: R2 = 1-(1-A) (n-p-1)/(n-1) where p is the number of parameters (not counting the constant term) in the regression.

Question:I am looking for a basic definition of the statistics term: Adjusted R^2. I just need a simple down to earth example that applies to life demonstrating the concept. Thank you.