In the following regression,X= weekly pay,Y= income tax withheld, andn= 35 McDonald's employees.

R²0.202

Std. Error6.816

n35

ANOVA tableSource

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 Stat p-value Lower 95% Upper 95%

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 the fitted regression equation.

Y

Y^

=

+

X

(b-1)State the degrees of freedom for a two-tailed test for zero slope, and useAppendix Dto find the critical value at= .05.(Roundt_.025to 3 decimal places.)

Degrees of freedom

t_.025

(b-2)Choose the correct option forH₀:₁= 0 vsH₁:₁ 0.

multiple choice 1

• Reject the null hypothesis ift_calc< -2.035 or ift_calc> -2.035
• Reject the null hypothesis ift_calc> 2.035 or ift_calc< -2.035

(c-1)Calculatet.(Round your answer to 3 decimal places.)

t_calc

(c-2)We reject the null hypothesis.

multiple choice 2

• Yes
• No

(d-1)Find the 95% confidence interval for slope.(Round your answers to 4 decimal places.)

Confidence interval is from

to

(d-2)The confidence interval does not contain zero, which implies

multiple choice 3

• there is no relationship between weekly pay and income tax withheld.
• there is a relationship between weekly pay and income tax withheld.

(e)Calculatet²andF.(Round your answers to 2 decimal places.)

t²

F_calc

(f-1)CalculateR².(Round your answer to 3 decimal places.)

R²

(f-2)What is the percentage of variation in income tax withheld explained by weekly pay?(Round your answer to the nearest whole number.)

Percentage of variation

%