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

R² 0.519

Std. Error 6.977

n 64

ANOVA table

Source SS df MS F p-value

Regression 3,260.0981 1 3,260.0981 66.97 1.90 E-11

Residual 3,018.3339 62 48.6828

Total 6,278.4320 63

Regression output confidence interval variables

variable

intercept coefficients std. error t Stat p-value Lower 95% Upper 95 %

Intercept 6.5763 1.9254 3.416 .0011 2.7275 10.4252

X1 0.0452 0.0055 8.183 1.90 E -11 0.0342 0.0563

(a)Write the fitted regression equation.

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 freedom _________?

t _crit ______________?

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

• ________ Do not reject the null hypothesis ift_calc> 1.999
• _________Reject the null hypothesis ift_calc> 1.999

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

t_calc: _________?

(c-2)We reject the null hypothesis.

No _____

Yes ____

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

Confidence interval is from ______to ________.?

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

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

________there is no relationship between the total assets (billions) and total revenue (billions).

(e-1)Calculate t² and F.(Round your answers to the nearest whole number.)

t^{2 __________?}

F _{calc ________?}

(e-2)CalculateR².

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.

• Yes
• No