# 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 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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