In the following regression, X= weekly pay, Y= income tax withheld, and n = 35 McDonald’s employees.

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 of freedom for a two-tailed test for zero slope, 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.

R\[^{2}\]	0.202
Std. Error	6.816
N	35
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					Confidence interval
Variables	Coefficients	Std. error	T(df=33)	p-value	95% lower	95% upper
Intercept Slope	1,743.57	288.82	6.037	.0000	1,119.61	2,367.53
Slope	-1.2163	0.4401	-2.764	.0161	-2.1671	-0.2656