This question has been partcially answered. The last time asked Part C was answered incorrectly. I need help with C through E please 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^ = 6.5763 6.5763 Correct + 0.0452 0.0452 Correct 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 62 62 Correct tcrit ± 1.999 1.999 Correct (b-2) Choose the correct option for H0: β1 = 0 vs H1: β1 ≠ 0. Reject the null hypothesis if tcalc > 1.999 (c-1) Calculate t. (Round your answer to 3 decimal places.) tcalc Not attempted (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 from Not attemptedto Not attempted. (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) 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%
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
This question has been partcially answered. The last time asked Part C was answered incorrectly. I need help with C through E please
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^ = 6.5763 6.5763 Correct + 0.0452 0.0452 Correct 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 | 62 62 Correct |
| tcrit | ± 1.999 1.999 Correct |
(b-2) Choose the correct option for H0: β1 = 0 vs H1: β1 ≠ 0.
Reject the null hypothesis if tcalc > 1.999
(c-1) Calculate t. (Round your answer to 3 decimal places.)
tcalc Not attempted
(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 from Not attemptedto Not attempted.
(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) 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%
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