In the following regression, X = weekly pay, Y = income tax withheld, and n = 35

Question

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 offreedom for a two- tailed test for zero slope, and use Appendix D to find thecritical value at = .05. (c) What is your conclusion aboutthe slope? (d) Interpret the 95 percent confidence limits for theslope. (e) Verify that F = t2 for theslope. (f) In your own words, describe the fit of thisregression.

R2          0.202

Std.Error               6.816

n             35

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

Intercept         30.7963         6.4078        4.806       .0000          17.7595    43.8331

Explanation / Answer

a) the regression equation
   income tax = 30.7963 + 0.0343 (weekly pay) b)the degrees of freedom , =33 d)the 95% confidence limits for slope (0.0101,0.0584) e)(t2) , (2.889)2 = 8.35(F)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.