Suppose an environmental agency would like to investigate the relationship between the engine size of?sedans, x, and the miles per gallon?(MPG), y, they get. The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. The regression line for the data is y=38.5184?5.0694x. Use this information to complete parts a through d.

Suppose an environmental agency would like to investigate the relationship between the engine size of sedans, x, and the miles per gallon (MPG), y, they get. The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. The regression line for the data is y = 38.5184 - 5.0694x. Use this information to complete parts a through d. Click the icon to view the table showing engine size and MPG for 9 car models. i Table of Engine Size and MPG - X Car Engine Size MPG Model A 2.6 27 Model B 2.2 31 Model C 2.6 24 Model D 3.1 20 Model E 3.4 23 Model F 2.1 28 Model G 2.2 24 Model H 2.1 28 Model I 3.7 20a. Calculate the coefficient of determination. R (Round to three decimal places as needed.) b. Using a = 0.05, test the significance of the population coefficient of determination. Determine the null and alternative hypotheses. Ho: p2 O H. : 02 0 The F-test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.)Because the p-value is the There enough evidence to conclude that the coefficient of determination is significant. c. Construct a 95% confidence interval for the average MPG of a 2.7-cubic liter engine. UCL = (Round to two decimal places as needed.) LOL = (Round to two decimal places as needed.) d. Construct a 95% prediction interval for the MPG of a 2.7-cubic liter engine. UPL = (Round to two decimal places as needed.) LPL = (Round to two decimal places as needed.)