Suppose that a regression yields the following sum of square

Suppose that a regression yields the following sum of squares:

(yiy)^2=280, (yiyˆi)^2=110, (yˆiy)2=170

Then the percentage of the variation in y that is explained by the variation in x is:

Answer = ? %

Solution

variation explained = r^2 = variation by model/total variation = SSR/ SST = 170/ 280 = 0.6071 =60.71%