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In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and / = 64 large banks. R2 0.519 Std.

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In the following regression, X = total assets ($ billions), Y = total revenue ($ billions), and / = 64 large banks. R2 0.519 Std. Error 6.977 n 64 ANOVA table Source 55 df MS F p-value Regression 1. 90E- 3, 260.0981 1 3, 260. 0981 66.97 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 1. 90E- 0. 0055 3.183 0.0342 11 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 use Appendix D to find the critical value at or = .05. (Round t critical value to 3 decimal places.) Degrees of freedom tcrit (b-2) Choose the correct option for He: B1 = 0 vs H1: B1 # 0. O Reject the null hypothesis if tcalc > 1.999 O Do not reject the null hypothesis if tcalc > 1.999 (c-1) Calculate t. (Round your answer to 3 decimal places.)lc-1J Calculate t. [Round your answer to 3 decimal places] P:calc |:| tic-21 We reject the null hypothesis. @ Yes D No ld-1] Find the 95% condence interval for slope. {Round your answer to 4 decimal places} Confidence interval is from |:| to E. td-Z] The condence interval does not contain zero, which implies @I there is a relationship between the total assets {billions} and total revenue [billions]. 0 there is no relationship between the total assets [billions] and total revenue [billions]. [e-1J Calculate 12 and F. {Round your answers to the nearest whole number.} t2 Fcalc (e-2J Calculate RE. R? E le-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 |:| 9%. If] Increasing assets increases income. 0 No @ Yes

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