Question 30 3 pts A regression analysis was done on 81 different SUV vehicles. T

Question

Question 30 3 pts 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 SQRT(.4615) '1, since the relationship between Average MPG and Engine size is positive 4615 Cannot be determined from the data given SQRT(4615) -1, since the relationship between Average MPG and Engine size is negative

Explanation / Answer

30) The correlation is a square root of R-square.

But here regression equation is Average MPG = 27.654 - 2.114*Engine size

In this case, a slope is negative so correlation also negative.

So correct option is SQRT(0.4615)*-1 since the relationship between Average MPG and Engine size is negative.

31) In regression, the variable we are trying to " explain " is referred to as the dependent variable.

So the given statement is False

32) In the equation, Y = 6 + 12(X), the slope value is 6.

Here 6:- Intercept, 12 is the slope.

So the given statement is False.

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