and its miles data represent the weights of various domestic cars and their gas
ID: 3055813 • Letter: A
Question
and its miles 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 The accompanying per galion in the city is -0 971. The least squares regression line treating weight as the explanatory variable and miles per gallion as the response y00062x 41 7068 Complete parts (a) and (b) variable is Click the con to vew the data table (a) What proportion of the variability in milos por galion is explained The proportion of the variability in miles per gailon explained by the (b) Interpret the coefficent of determination Data Table Full data set Weight (poundsh, Miles per Car Weight (pounds) Weight (pounds) Mies per Car Gallon, y 25 1%ofthe variance in 3,705 3,984 3530 3,175 2.580 3.730 Car 7 Car 8 Car 9 Car t0 Car 11 2,605 3,772 3310 2.991 2 752 19 18 Car 1 Car 3 Car 4 Car 5 Car 6 21 24 25 Enter your answer in the answer box 20Explanation / Answer
SolA:
r=-0.971
r sq=r*r
=-0.971*-0.971
=0.942841
0.942841*100
=94.2841
=94.3%
ANSWER:94.3
Solutionb:
94.3% of the variance in miles per gallon is explained by model.
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