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# The Solution to Statistics - Regression

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 &#945; = .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

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.

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