19 10pts The Magazine Consumer Reports Publishes Information On Automobile Gas Mileage And Variables That Affect Gas 1 (62.94 KiB) Viewed 28 times
19 10pts The Magazine Consumer Reports Publishes Information On Automobile Gas Mileage And Variables That Affect Gas 2 (50.46 KiB) Viewed 28 times
19. (10pts) The magazine Consumer Reports publishes information on automobile gas mileage and variables that affect gas mileage. In one issue, data on gas mileage (in miles per gallon) and engine displacement (in liters) were published for 121 vehicles. A linear regression analysis is performed gas miles and engine displacement. Use the output (see page 10) of the analysis to answer the following a. Write the regression line equation: (3decimals) b. Report to 3 decimals: RP=_ R= -. p-value of the sloper The linear relationship can be described as (select one) A. strong and significant B. moderate but significant C. moderate but insignificant D. weak but significant, E. weak and insignificant. c. Using the residual plot, select the true statement: The regression is appropriate. Residuals displays a structured band around zero indicating model assumptions are met. ii. The regression is not appropriate. Residuals displays a structured behavior around zero indicating model assumptions are not met ill. The regression is not appropriate. Residuals displays an unstructured horizontal behavior around zero indicating model assumptions are met iv. The regression is appropriate. Residuals displays an unstructured horizontal behavior around zero indicating model assumptions are met. d. Complete the following table by computing the missing entries. Show work in the space provided. Use S=standard error the residuals. MPG Predicted DSP Residual Standardized Cook's (2 decimals) (2 decimals) Residual (Zresid) D (2 decimals) Show work: Show work: Show work: 2.5liters 0.0044 Vehicle DSP А 21 B 5.7 liters 26 1.1283 ol 2.7 liters 32 0.0598 Which vehicle (s) above is/are outlier(s)? Explain why Which vehicle (s) above is/are influential? Explain why
car regression = 1m (formula = MPG DSP, data = carDF) summary (cax Regression) ## Call: ## 1m (formula - MPG - DSP, data - carDF) ## Residuals: ## Min 10 Median 30 Max ## -5.5865 -2.0749 -0.1339 1.3061 13.6998 ## Coefficients: ## Estimate Std. Error t value Pr(lt) ## (Intercept) 31.9802 0.7978 40.08 <2e-16 ## DSP -3.4526 0.2500 -23.81 c2e-16 • ## --- ## Signif. codes : 0** 0.001 + 0.01 0.05 0.11 ## Residual standard error: 2.634 on 119 degrees of freedom ## Multiple R-squared: 0.6157, Adjusted R-squared: 0.6125 ## F-statistic: 190.7 on 1 and 119 DF, p-value: < 2.2e-16 or 00 0 0 co co MPG Rektual OD DO Engine Displacement Engine Displacement
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