Data are provided here with descriptive statistics, a correlation coefficient, and a regression equation: r = 0.52, Y Ì‚ = 2.643 + 0.469(X ).

Using this information, compute the following estimates of prediction error: 

a. Calculate the sum of square d error for the mean, SS total. 

b. Now, using the regression equation provided, calculate the sum of squared error for the regression equation, SS error. 

c. Using your work, calculate the proportionate reduction in error for these data. 

d. Check that this calculation of r2 equals the square of the correlation coefficient. 

e. Compute the standardized regression coefficient.

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Coefficients(a) Unstandardized Coefficients Std. Егror Standardized Sig. Coefficients Beta (Constant) Depression Year 1 43.665 3.333 24.698 .161 .000 .001 .566 .048 .235