Simple linear regression model.
In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's employees. (a) Write the fitted regression equation, (c) What is the conclusion about the slope
|
R2
|
0.202
|
|
Std. Error
|
6.816
|
|
n
|
35
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|
ANOVA table
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|
Source
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SS
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df
|
ms
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F
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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
|
a. Write out the fitted regression equation
b. What is your conclusion about the slope?