Questions 1 and 2 refer to the following table, which lists the advertised horsepower, x, and highway mileage in miles per gallon, y, of five automobile models. x y x x y y (x x) (y y) (x x)2 (y y)2 200 32 140 38 300 20 160 30 180 34

1. Calculate the correlation coefficient r of this set of data pairs. (Show your work, by filling in the remaining columns of the table above, and noting how that data is used.)

2. Find the least squares line for the points represented by the pairs (x, y).