Simple linear regression model.
In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's employees. (a) prepare the fitted regression equation, (c) What is the conclusion about the slope
R2

0.202

Std. Error

6.816

n

35

ANOVA table

Source

SS

df

ms

F

pvalue

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)

pvalue

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. prepare out the fitted regression equation
b. What is your conclusion about the slope?