A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
C) 0.3333 seems like the correct answer to me. The explained sum of squares is the total sum of squares multiplied by the square of the correlation coefficient, which is 0.5^2 = 0.25.
Hmm, I think the explained sum of squares should be 0.75. The correlation coefficient squared gives the proportion of the total variance that is explained by the regression.
Leslie
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