10.18 Are the two fuel efficiency measurements similar? Refer to Exercise 7.32 (page 429). In addition to the computer calculating miles per gallon (mpg), the driver also measured mpg by dividing the miles driven by the number of gallons at fill-up. The driver wants to determine if these calculations are similar.

Fill-up12345678910
Computer41.550.736.637.334.245.048.043.247.742.2
Driver36.544.237.235.630.540.540.041.042.839.2
Fill-up11121314151617181920
Computer43.244.648.446.446.839.237.343.544.343.3
Driver38.844.545.445.345.734.235.239.844.947.5
  1. (a) Consider the driver’s mpg calculations as the explanatory variable. Plot the data and describe the relationship. Are there any outliers or unusual values? Does a linear relationship seem reasonable?

  2. (b) Run the simple linear regression and state the least-squares regression line.

  3. (c) Summarize the results. Does it appear that the computer and driver calculations are the same? Explain your answer.