Citizer X Quest X el.instructure.com/courses/1399895/quizzes/2018371/take/questi

Question

Citizer X Quest X el.instructure.com/courses/1399895/quizzes/2018371/take/questions/45580917 A regression analysis was done on 81 different SUV vehicles. The variables analyzed Included are the average gas mileage in miles per gallon (Average MPG) and the engine size in liters (Engine Size). The average miles per gallon is a weighted average of city and highway driving to reflect a 40/60 percent split. The estimated regression equation is: Average MPG-27.654 2.114 Engine Size R-squared-4615 Based on this result, the correlation between Average MPG and Engine Size is 4615 Cannot be determined from the data given SORTL4615)1, since the relationship between Average MPG and Engine size is negative SORTL4615) 1, since the relationship betweeni Average MPG and Engine size s positive

Explanation / Answer

Here we have given that the regression line with R-square value.

Regression line is

Average MPG = 27.654 - 2.114* Engine size

R-square is

R^2= 0.4615

So correlation is given as square root of R-square.

Here average MPG and engine size are negatively correlated. Because sign of slope in regression equation is negative.

Ans: SQRT(0.4615)*(-1) , since the relationship between average MPG and engine size is negative

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