The Solution to Statistics - Regression
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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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