Car Data Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table: Correlation Mean SD Coefficient Weight (pounds) 3185.5 494.5 -.907 City MPG 20.962 3.165 a. Use these statistics to determine (by hand) the coefficients of the least squares line for predicting a car's miles per gallon rating from its weight. Report the equation of this line. Round "a" to TWO decimal places and "b" to FIVE decimal places. The equation of the least squares line is city mpg = a + b . weight, where a = A/ b = A/Question 2 (1 point) b. Use the regression line to predict the city MPG rating for a car whose weight is 2352 pounds. Round your answer to TWO decimal places. A car that weighs 2352 pounds is predicted to get a fuel economy of mpg for city driving. Question 3 (1 point) c. By how many miles per gallon does the least squares line predict a car's fuel efficiency to drop (on average) for each additional 100 pounds of weight? Round your answer to THREE decimal places. As a car's weight increases by 100 pounds, the predicted city fuel efficiency decreases by mpg. Question 4 (1 point) d. What proportion of the variability in cars' miles per gallon ratings is explained by the least squares line with weight? Express your answer as a percentage rounded to ONE decimal place. A car's weight explains ____% of the variability in city mpg ratings, so weight is a substantial factor in predicting a car's fuel economy