In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's emplo
Question: 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 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 | 387.6959 | 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 | 30.7963 | 6.4078 | 4.806 | .0000 | 17.7595 | 43.8331 | |||
Slope | 0.0343 | 0.0119 | 2.889 | .0068 | 0.0101 | 0.0584 | |||
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Deliverables: Word Document