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). The following information is based on data taken from Consumer Reports (Vol. 62, No.4) x 27 44 32 47 23 40 34 52 у 30 19 24 13 29 17 21 14 (a) Construct a scatterplot of the miles per gallon (y) versus the weight of the car (x). (b) Compute the correlation coefficient between the weight of the car and the miles per gallon. Given that & 37.375, sx provided in our text book) 10.0845, ỹ = 20.875, sy 6.4017 (if you want to use formula %3D %3D %3D (c) Compute the least-squares regression line for predicting the miles per gallon from the weight of the car. (d) Suppose a car weight 38 hundreds of pounds, predict the value for y which is the miles per gallon.

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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). The following information is based on data
taken from Consumer Reports (Vol. 62, No.4)
X
27
44
32
47
23
40
34
52
У 30
19
24
13
29
17
21
14
(a) Construct a scatterplot of the miles per gallon (y) versus the weight of the car (x).
(b) Compute the correlation coefficient between the weight of the car and the miles per gallon.
Given that i = 37.375, sx =
10.0845, ỹ = 20.875, sy = 6.4017 (if you want to use formula
%3D
provided in our text book)
(c) Compute the least-squares regression line for predicting the miles per gallon from the
weight of the car.
(d) Suppose a car weight 38 hundreds of pounds, predict the value for y which is the miles
per gallon.
Transcribed Image Text: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). The following information is based on data taken from Consumer Reports (Vol. 62, No.4) X 27 44 32 47 23 40 34 52 У 30 19 24 13 29 17 21 14 (a) Construct a scatterplot of the miles per gallon (y) versus the weight of the car (x). (b) Compute the correlation coefficient between the weight of the car and the miles per gallon. Given that i = 37.375, sx = 10.0845, ỹ = 20.875, sy = 6.4017 (if you want to use formula %3D provided in our text book) (c) Compute the least-squares regression line for predicting the miles per gallon from the weight of the car. (d) Suppose a car weight 38 hundreds of pounds, predict the value for y which is the miles per gallon.
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