1. Do heavier ears really use more gasoline? Suppose a car is chosen at random. Let J.' be the weight of the ear [in hundreds of pounds}, and let y be the miles per gallon {mpg}. The following information is based on data taken from Consumer Rports (Vol. 62, No.4]. ___--IE- I._______-I- GiWHEI = 299, E? = 16?.21'2 = 11131312}T2 = 3??3,Exy= 5314,.andr z .94. {Answers may 1wary slightly due to rounding.) a. Find if. j, a, and h. Then nd the equation of the leastvsquares line f = II + but. In. Draw a scatter diagram displaying the data and graph the least-squares line on your scatter diagram. c. Find the value of the coefficient of determination 72. 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? d. Suppose a car weighs x=38 (hundred pounds). What does the least-squares line forecast for y-miles per gallon