14.30 Data are provided here with descriptive statistics, a correlation coefficient, and a regression equation: r = 0.426, Yˆ = 219.974 + 186.595(X). X Y 0.13 200.00 0.27 98.00 0.49 543.00 0.57 385.00 0.84 420.00 1.12 312.00 MX = 0.57 MY = 326.333 SDX = 0.333 SDY = 145.752 Using this information, compute the following estimates of prediction error:

a. Calculate the sum of squared errors for the mean, SStotal .

b. Now, using the regression equation provided, calculate the sum of squared errors for the regression equation, SSerror .

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

d. Check that this calculation of r 2 equals the square of the correlation coefficient.

e. Compute the standard error of the estimate.

f. Compute the standardized regression coefficient.