15- answer 16- answer and explain 17- explain and answer 15. What would you look

Question

15- answer 16- answer and explain 17- explain and answer 15. What would you look for in the computer printouts for evidence of nonindependent errors? What kinds of graphs would you at? Cite any evidence you see 16. Describe the statistical estimation problem of multicollinearity. How do you identify evidence of this problem? Cite any such evidence. (1 point) 17. What evidence is provided that bears on the issue of whether the relationship between MPG and the other variables is approximately linear as opposed to a nonlinear relationship? d point) 18. Predict the average gasoline mileage for an automobile that uses premium fuel, has a fuel capacity of 14 gallons, is 195 inches long, has a wheelbase of 100 inches, is 70 inches wide, has a turning circle of 40 feet, weighs 26 pounds, and is a front wheel drive. Is this a reasonable number? (1 point)

Explanation / Answer

(15) points of residual should be scattered, here it is concentrated . so evidence of non-indepndent of errors

(16) here pairwise correlation between independent variable are high,. it is problem of multicollinarity

e.g. correlation between weight and capacity, weight and lenght, weight and width

and others .

(17) the corrleation coefficent of MPG and other indendent variables are given and

tested significance. It is found linearly relationship at 5% level of significance

t=r*sqrt(n-2)/sqrt(1-r*r) with n-2 df

here n=106

(18) the regression equation is

MPG= 47.9023-0.6497*capacity+1.5708*DriveType+0.0765*Length+0.0458*WheelBase-0.2621*Width-0.4237*TurningCircle

here we need drive type complete information,

what is value of front type , it is 0, 1 , or any thing else.

if front type=1 then putting all information in the regression equation

MPG=47.9023-0.6497*14+1.5708*1+0.0765*195+0.0458*100-0.2621*70-0.4237*40=24.5798

r n t p-value Drive type 0.4342 106 4.915528 3.31678E-06 capacity -0.7875 106 -13.0306 1.35867E-23 length -0.3872 106 -4.28275 4.12556E-05 wheelbas -0.5128 106 -6.09144 1.90998E-08 widht -0.5787 106 -7.23643 8.17462E-11 turning circle -0.5711 106 -7.09494 1.63187E-10 weight -0.8754 106 -18.4679 1.30844E-34

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