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Help https:I/www.mathxd.com erTest.aspx?testld-16708098 in yes MTH 240-41H Samantha Wallace 12/3/17 3:50 PM Quiz: Ch 4 Quiz Submit Quiz This Question: 4 pts 7of12 (2 complete) This Quiz: 54 pts possible 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 -0.968. The least- variable is y =-0.0067x + 43.6193. Complete parts (a) and (b). squares regression line treating weight as the explanatory variable and miles per galion as the response 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 pr portion of the va abity n mies per gallon explained by the relation between weight othe car and mies per gallon is % (b) Interpret the coefficient of determination Round to one deci al place as ch needed.) % of the variance in by the linear model. To Enter your answer in the answer box.Explanation / Answer
y=43.61+0.0067x
r=-0.968
A) It is nothing but R Square which is given by (-0.968)^2=0.93=93%
B) 93% of the variance in Miles Per Gallon is explained by Weight of the Car as MPG is the response variable (Y) and Weight of the Car is independent variable (X)
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