[See Solution] In the following regression, X = Weekly Pay, Y = Income Tax withheld, and n =35 McDonald’s employees. Write the fitted regression equation. State


Question: In the following regression, X = Weekly Pay, Y = Income Tax withheld, and n =35 McDonald’s employees.

  1. Write the fitted regression equation.
  2. 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 = t 2 for the slope. F) In your own words, describe the fit of this regression. See below.

ANOVA Table

Source SS df MS F p-value
Regression 387.6959 1 387.6959 8.35 .0068
Residual 1,533.0614 33 46.4564
Total 1,920.7573 34

Regression Output

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 .0343 .0119 2.889 .0068 .0101 .0584

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