In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 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 1.90E-11 Residual 3,018.3339 62 48.6828 Total 6,278.4320 63 Regression output confidence interval variables 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 1.90E-11 0.0342 0.0563 (a) Write the fitted regression equation. yˆy^ = Not attempted + Not attempted X (b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (Round t critical value to 3 decimal places.) Degrees of freedom Not attempted tcrit ± Not attempted (c-1) Calculate t. (Round your answer to 3 decimal places.) tcalc Not attempted (d-1) Find the 95% confidence interval for slope. (Round your answer to 4 decimal places.) Confidence interval is from Not attemptedto Not attempted. (e-1) Calculate t2 and F. (Round your answers to the nearest whole number.) t2 Not attempted Fcalc Not attempted (e-2) Calculate R2. R2R2 Not attempted (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 Not attempted%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Question

In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and n = 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	1.90E-11
Residual		3,018.3339			62	48.6828
Total		6,278.4320			63

Regression output	confidence interval
variables	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	1.90E-11	0.0342	0.0563

(a) Write the fitted regression equation.

yˆy^ =   Not attempted +    Not attempted X

(b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (Round t critical value to 3 decimal places.)

Degrees of freedom	Not attempted
t_crit	± Not attempted

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

t_calc            Not attempted

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

Confidence interval is from  Not attemptedto  Not attempted.

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

t²	Not attempted
F_calc	Not attempted

(e-2) Calculate R².

R2R2             Not attempted

(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  Not attempted%

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