The VP for Sales at You Want It Motors wanted to determine if there is a relatio
ID: 3380209 • Letter: T
Question
The VP for Sales at You Want It Motors wanted to determine if there is a relationship between the vehicle's weight (1000 lbs) and fuel efficiency, in miles per gallon (MPG). A sample of 50 vehicles was collected from across the company and their fuel efficiency was measured over a set course that included both in city and highway driving. Based on the regression results shown below, What is the correlation between MPG and Weight?
The regression equation is MPG = 48.74 - 8.21 *Weight
R^2=0.7558 S=2.4134
A -8.21
B - 0.67
C 0.756
D - 0.869
E 2.413
Answer is D, but I'm really confused on how to calculate it.
Coefficients SE tStat PValue Intercept 48.74 1.98 24.67 0.00 Weight -8.21 0.67 -12.19 0.00Explanation / Answer
Note that r = the correlation.
Here, we see that the slope is negative; hence, r is also negative.
Here,
r^2 = 0.7558
Getting the negative square root,
r = -0.869367586 [hence, it is OPTION D]
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