In the following regression, X = weekly pay, Y = income tax withheld ...

Problem 2: In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees. (a) Write the fitted regression equation. (b) State the degrees of freedom for a two- tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for the slope. (f) In your own words, describe the fit of this regression. R2 0.202 Std. Error 6.816 N 35 ANOVA table Source SS DF MS F P-value Regression 387.6956 1 387.6956 8.35 .0068 Residual 1,533.0614 33 46.4564 Total 1,920.7573 34 Regression output confidence interval Variables Coefficients Std. error T (df = 33) p-value 95% lower 95% upper Intercept 30.7963 6.4078 4.806 .0000 17.7595 43.8331 Slope 0.0343 0.0119 2.889 .0068 0.0101 0.0584