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^ = + 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 tcrit ± (b-2) Choose the correct option for H0: β1 = 0 vs H1: β1 ≠ 0. multiple choice 1 Do not reject the null hypothesis if tcalc > 1.999 Reject the null hypothesis if tcalc > 1.999 (c-1) Calculate t. (Round your answer to 3 decimal places.) tcalc (c-2) We reject the null hypothesis. multiple choice 2 Yes No (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 multiple choice 3 there is no relationship between the total assets (billions) and total revenue (billions). there is a relationship between the total assets (billions) and total revenue (billions). (e-1) Calculate t2 and F. (Round your answers to the nearest whole number.) t2 Fcalc (e-2) Calculate R2. R2R2 (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 Yes No

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^ = + 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 tcrit ± (b-2) Choose the correct option for H0: β1 = 0 vs H1: β1 ≠ 0. multiple choice 1 Do not reject the null hypothesis if tcalc > 1.999 Reject the null hypothesis if tcalc > 1.999 (c-1) Calculate t. (Round your answer to 3 decimal places.) tcalc (c-2) We reject the null hypothesis. multiple choice 2 Yes No (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 multiple choice 3 there is no relationship between the total assets (billions) and total revenue (billions). there is a relationship between the total assets (billions) and total revenue (billions). (e-1) Calculate t2 and F. (Round your answers to the nearest whole number.) t2 Fcalc (e-2) Calculate R2. R2R2 (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 Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

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^ =    +     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
t_crit	±

(b-2) Choose the correct option for H₀: β₁ = 0 vs H₁: β₁ ≠ 0.

multiple choice 1

Do not reject the null hypothesis if t_calc > 1.999
Reject the null hypothesis if t_calc > 1.999

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

t_calc

(c-2) We reject the null hypothesis.

multiple choice 2

(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

multiple choice 3

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

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

t²
F_calc

(e-2) Calculate R².

R2R2

(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

Expert Solution

Step 1

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Given, X = total assets ($ billions), Y = total revenue ($ billions), and n = 64 large banks.
ANOVA table and regression output are also given.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.