Do you have your cars really use more gasoline? I 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). x XXXXXXXXXX34 52 y...

Do you have your cars really use more gasoline? I 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).
x 29 44 33 47 23 40 34 52

y 28 19 24 13 29 17 21 14

Given Σx= 302 Σy=165 Σx²=12064 Σy²=3657 Σxy= 5840 r= -.9472

a) find x and y. Then find the equation of the least squares line y=a+bx(round your answers to four decimal places.)

x=
y=
y=__+___x

b) Fund 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 r²to four decimal places. Round your answers for the percentages to two decimal places)

r²=

explained=___%

unexplained=___%
c) suppose a car weighs x = 39 (hundred pounds). What does the least squares line forecast for y= miles per gallon?( round your answe to two decimal places)

_____mpg