8. [-/0.3 Points] DETAILS BBUNDERSTAT12 9.2.020.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following data. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No. 4). x 29 45 40 34 52 31 17 22 13 29 17 21 14 LA USE SALT Given the least squares line y = 43.7265 - 0.6153x: (a) Make a residual plot for the least-squares model. Be sure to plot the horizontal line at y = 0. 10 10 . . O 20 30 40 50 20 30 40 50 10 X O 20 30 40 50 60 20 30 40 50 (b) Use the residual plot to comment about the appropriateness of the least squares model for these data. O The residuals seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers. The residuals do not seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers. O The residuals seem to be s e horizontal line at 0. There do not appear to be any outliers. The residuals do not seem to be sca around the horizontal line at 0. There do not appear to be any outliers Need Help? Read It 9. [-/0.3 Points] DETAILS BBUNDERSTAT12 9.2.021.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Suppose you are given the following (x, y) data pairs y 4 LA USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). (b) Now suppose you are given these (x, y) data pairs. 9 2 1 5 Find the least-squares equation for these data (rounded to four digits after the decimal). (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? O Yes No (d) Solve your answer from part (a) for x (rounded to four digits after the decimal). +