# Question: Suppose the Environmental Protection Agency EPA would like to investigate

Suppose the Environmental Protection Agency (EPA) would like to investigate the linear relationship between the engine size of sedans and the miles per gallon (MPG) they get. Data from the Excel file engine size.xlsx show the engine size in cubic liters and rated miles per gallon for a selection of sedans.

a. Construct a scatter plot for these data.

b. Calculate the slope and the y intercept for the regression equation.

c. Provide an interpretation for the value of the slope.

d. Predict the MPG for a sedan with a 3.0 liter engine.

e. Calculate the SST.

f. Partition the SST into the SSR and the SSE.

a. Construct a scatter plot for these data.

b. Calculate the slope and the y intercept for the regression equation.

c. Provide an interpretation for the value of the slope.

d. Predict the MPG for a sedan with a 3.0 liter engine.

e. Calculate the SST.

f. Partition the SST into the SSR and the SSE.

**View Solution:**## Answer to relevant Questions

Answer the following questions using the data from Problem 14.47: a. Calculate the coefficient of determination. b. Using α = 0.05, test the significance of the population coefficient of determination. c. Construct a 95% ...Answer the following questions using the data from Problem 14.50: a. Using α = 0.05, test for the significance of the regression slope. b. Construct a 95% confidence interval for the population slope. c. What conclusions ...Answer the following questions using the data from Problem 14.56: a. Using α = 0.01, test for the significance of the regression slope. b. Construct a 99% confidence interval for the population slope. c. What conclusions ...Answer the following questions using the data from Problem 14.65: a. Using α = 0.05, test for the significance of the regression slope. b. Construct a 95% confidence interval for the population slope. c. What conclusions ...Answer the following questions based on the data from Problem 14.73. a. Test for the significance of the regression slope using α = 0.05. b. Construct a 95% confidence interval for the population slope. c. What ...Post your question