E Question Help * The accompanying table shows resuits from regressions perfor m
ID: 3334243 • Letter: E
Question
E Question Help * The accompanying table shows resuits from regressions perfor milgal) The predictor (x) variables are WT (weight in pounds) DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal) Which regression med on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in equation is best for predicting city fuel consumption? Why? click the icon to view the table of regression equations Choose the correct answer below O A The equation CITY values of equations with more predictor variables -3 13-0 8 19HNNY is best because it has a low P value and its R2 and adusted R2 values are comparable to the R2 and adusted R2 O B. The equation CITY-6 85-0 00126wT-0 258DISP + 0 652H NY best because it uses all of the avalable predictor variables O C. The equation CITY-6 85-0 001 26wT-0258DISP +0 652HWY is best because it has a low p.value and the highest value of R2 O D. The equation CITY 669-0 00164WT 0 666HWY is best because it has a low P.value and the highest adjusted value of R2 Regression Table Predictor (x) Variables P.Value R Adusted R2 Regression Equation WT/DISP/HWY 000 0 943 0933 CITY685-000126WT-0258DISP 0 652HWY WT/DISP WT/HWY DISP/HWY WT 0000 0942 0936 CITY 6 69-0 00164WT 0 66HWY 0 000 0935 0928 CITY 1 82-0625DISP 0 705HWY 0000 07120697 CITY 416-000601WT 0000 0659 0641 CITY 29 3-3 02DISIP 0000 0924 0920 CITY-313-0819HWY HWY Click to select your answ Print DoneExplanation / Answer
A is right
We choose the regression equation which has the following:
1.Lowest p-value
2.Highest Rsquare
3.The adjusted Rsquare should be the highest
The 3rd has prioirty over 2nd point, This with lowest no. of predictors
A altough doesn't have highest Rsquare/adj. Rsquare, has managed to have a comparable rsquare with lesser no. of variables
B is not the criterion, you may use any no. of variables, constraint to the above 3 statements
C is not right, and satisfies the 1 and 2 conditions. Has more no. of variables
D satisfies, but has more no. of variables.
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