e)Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)r2 = explained %unexplained %(f)Suppose a car weighs x = 33 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg

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). * 27 44 29 47 23 40 34 52 y 28 19 26 13 29 17 21 14 LA USE SALT Complete parts (a) through (e), given Ex = 296, Ey = 167, Ex? = 11,704, Ey? = 3757, Exy = 5746, and / * -0.9594. (a) Draw a scatter diagram displaying the data. 25 y (miles per gallon 20 15 25 30 35 40 45 50 O x (weight of the car (in hundreds of pounds)) 50 y (miles per gallon 35 15 20 25 O x (weight of the car (in hundreds of pounds)) 25 y (miles per gallon) 20 15 25 30 35 40 45 50 O x (weight of the car (in hundreds of pounds)) 50 45 y (miles per gallon 35 30 25 15 20 25 O x (weight of the car (in hundreds of pounds)) (b) Verify the given sums Ex, Ey, Ex', Ey', Exy, and the value of the sample correlation coefficient /. (Round your value for r to four decimal places.) Ex= Ey = Ex2 = Ey2 Exy (c) Find x, and y. Then find the equation of the least-squares line ? = a + ox. (Round your answers to four decimal places.) X =