Question 147978This question is from textbook APPLIED STATISTICS IN BUSINESS AND ECONOMICS
: 12.48 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 twotailed 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.
a) Write the fitted regression equation.
Y = 30.7963 + 0.0343X
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(b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at α = .05.
df = 33 ; critical value is 2.035 (see page 782)
(c) What is your conclusion about the slope?
Since the p-value is 0.0068 (less than 1%), the true value is not zero.
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(d) Interpret the 95 percent confidence limits for the slope.
We are 95% confident that the slope is between 0.0101 and 0.0584
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(e) Verify that F = t2 for the slope.
2.889^2 = = 8.346321 (rounded is 8.35)
This question is from textbook APPLIED STATISTICS IN BUSINESS AND ECONOMICS
Found 2 solutions by stanbon, assante10:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 12.48 In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald’s employees.
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Note: Only your reference to the book and the problem number make it
possible for anyone to help you with this problem.
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(a) Write the fitted regression equation.
Y = 30.7963 + 0.0343X
--------------------------------
(b) State the degrees of freedom for a twotailed test for zero slope, and use Appendix D to find the critical value at α = .05.
df = 33 ; critical value is 2.035 (see page 782)
(c) What is your conclusion about the slope?
Since the p-value is 0.0068 (less than 1%), the true value is not zero.
------------------------
(d) Interpret the 95 percent confidence limits for the slope.
We are 95% confident that the slope is between 0.0101 and 0.0584
----------------------
(e) Verify that F = t2 for the slope.
2.889^2 = = 8.346321 (rounded is 8.35)
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Cheers,
Stan H.
Answer by assante10(1) (Show Source):
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