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 r2 to 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
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 r2 to 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
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