Do heavier cars really use more gasoline? Suppose a car is chosen at randorn, Let a be the weight of the car (in hundreds of pounds], and let y be the miles per gallon (rope). 30 30 21 22 13 29 17 Complete parts (a) through (e), given By - 208, Ey = 167, Ex - 11,818, 5 - 3761, Exy - 5824, and ra -0.893. (@) Draw a scatter diagram displaying the data. Graph Layers Alley you add an object to the graph you can use Graph Layers in view and edit irs properties. 5 20 26 30 36 40 45 60 56 GO" it) verify the given sums Ex, Zy, Ex", Eye, Zay, and the value of the sample correlation coefficient n. (Round your value for r to three decimal places.) Ex = Exy = (c) Find x, and y. Then find the equation of the least-squares line ; - a + box. (Round your answers for , and y to two decimal places. Round your answers for a and a to three decimal places ) F- (d) Graph the least squares line. Be sure to plot the point (x, y) as a point on the line.(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 50 40 40 30 30 20 20 10 10 10 20 30 -10 40 50 60 10 20 30 - 10 40 50 60 50 y 40 50 40 30 30 20 20 10 10 10 20 30 - 10 40 50 X 60 10 -10 20 30 40 50 60 the percentages to one decimal place.) 2 = (e) Find the value of the coefficient of determination . 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 / to three decimal places. Round your answers for explained % unexplained % mpg (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.)