Problem 6. The vehicle weight (in 100s of lbs) and gas mileage (mpg) is given below Weight (100s of lbs) Mileage (mpg) 18 30 28 21 32 21 29 17 24 31 14 33 21 27 12 35 23 25 14 32 (a) Find the mean and variance of each variable. Clearly label each. (b) Find the five number summaries of each variable. (c) Calculate the linear correlation coefficient. Would you support fitting a line to this data? Why? (d) Find the line of best fit. (e) Does the y-intercept bo have any physical meaning here? Why or why not? (f) What exactly does the slope tell us in the context of this problem? (g) Obtain a point estimate (fitted value) for the expected mpg for a car weighing 2200 lbs.

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