1) The linear correlation is determined to be r= -.9701. Conduct an appropriate
ID: 3374665 • Letter: 1
Question
1) The linear correlation is determined to be r= -.9701. Conduct an appropriate hypothesis test to determine if the weight and MPG of the vehicle are correlated. 2) The regression equation is determined to be MPG 32.5 - 0.45x weight. What is the predict MPG for a car weighting 24 hundred pounds? 3) what is the predictied weight for a car that gets 22 MPG? 4) Find and interpret the y intercept of the regression equation. Is this a useful value in this context? (20 points) Does the weight of a vehicle affect the gas mileage? The follow sample was collected where x - weight of a vehicle in hundreds of pounds ana per gallon. ing r eds of pounds and y mi x (lb hundreds) 26 35 29 39 20 y (mpg) 22.0 16. 18.8 15.7 23.4
Explanation / Answer
A)
T=r*sqrt((n-2)/(1-r^2))
=-0.9701*sqrt(3/(1-0.9701^2))
=-6.29
Since t is much less than critical value
We reject the null hypothesis
There is significant correlation.
B)y^=32.5-0.45*weight
=32.5-0.45*24
=21.7
C)22=32.5-0.45*weight
Weight=10.5/0.45
=23.33333
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