The following ANOVA output is given.

a. Compute the coefficient of determination.

b. Compute the multiple standard error of estimate.

c. Conduct a test of hypothesis to determine whether any of the regression coefficients are different from zero.

d. Conduct a test of hypothesis on the individual regression coefficients. Can any of the variables be deleted?

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Analysis of Variance Source Regression Residual Error Total DF SS MS 4 1050.8 262.70 20 83.8 4.19 24 1134.6 Predictor Constant X1 X2 Coefficient SE Coefficient 70.06 2.13 32.89 0.42 0.17 2.47 0.27 0.21 1.29 X3 0.75 0.30 2.50 X4 0.42 0.07 6.00