In the following regression,X= total assets ($ billions),Y= total revenue ($ billions), andn= 64 large banks.

R²0.519Std. Error6.977n64

ANOVA tableSourceSSdfMSFp-valueRegression3,260.098113,260.098166.971.90E-11Residual3,018.33396248.6828Total6,278.432063

Regression outputconfidence intervalvariablescoefficientsstd. errort Statp-valueLower 95%Upper 95%Intercept6.57631.92543.416.00112.727510.4252X10.04520.00558.1831.90E-110.03420.0563

(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.(Roundtcritical value to 3 decimal places.)

Degrees of freedomt_crit

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

multiple choice 1

• Reject the null hypothesis ift_calc> 1.999
• Do not reject the null hypothesis ift_calc> 1.999

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

t_calc

(c-2)We reject the null hypothesis.

Yes

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

Confidence interval is fromto.

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

there is a relationship between the total assets (billions) and total revenue (billions).

(e-1)Calculatet²andF.(Round your answers to the nearest whole number.)

t²F_calc

(e-2)CalculateR².

R

2

R2

(e-3)What is the percentage of variation in total revenue explained by total assets?(Round your answer to 1 decimal place.)

The percentage of variation in total revenue explained by total assets is%

(f)Increasing assets increases income.

multiple choice 4

• No
• Yes