he accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a and its miles per gallon in the city is r= -0.979. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response rariable is y = -0.0072x+ 45.1805. Complete parts (a) through (c). A Click the icon to view the data table. a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is needed.) %. (Round to one decimal place a

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6th Edition
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Author:Amos Gilat
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The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car
and its miles per gallon in the city is r= -0.979. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response
variable is y = - 0.0072x+ 45.1805. Complete parts (a) through (c).
%3D
%3D
Click the icon to view the data table,
(a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon?
The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is %. (Round to one decimal place as
needed.)
Transcribed Image Text:Question Help ▼ The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= -0.979. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = - 0.0072x+ 45.1805. Complete parts (a) through (c). %3D %3D Click the icon to view the data table, (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is %. (Round to one decimal place as needed.)
ariable is y= -0.0072x+ 45.
E Click the icon to view thel
Data Table
) What proportion of the varia
Full data set
e proportion of the variability
eeded)
nd to one decima
Miles per
Weight
(pounds), x
3,765
3,984
3,530
3,175
Weight
(pounds), x
2,605
3,772
3,310
2,991
2,752
Miles per
Gallon, y
Car
Car
Gallon, y
Car 1
18
Car 7
26
Car 2
17
Car 8
17
20
Car 3
21
Car 9
Car 4
23
Car 10
24
2,580
3,730
Car 5
27
Car 11
25
Car 6
18
Print
Done
Transcribed Image Text:ariable is y= -0.0072x+ 45. E Click the icon to view thel Data Table ) What proportion of the varia Full data set e proportion of the variability eeded) nd to one decima Miles per Weight (pounds), x 3,765 3,984 3,530 3,175 Weight (pounds), x 2,605 3,772 3,310 2,991 2,752 Miles per Gallon, y Car Car Gallon, y Car 1 18 Car 7 26 Car 2 17 Car 8 17 20 Car 3 21 Car 9 Car 4 23 Car 10 24 2,580 3,730 Car 5 27 Car 11 25 Car 6 18 Print Done
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