The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why? Click the icon to view the table of regression equations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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or (x) variables P-value
DISP/HWY
NT/DISP
WT/HWY
ISP/HWY
WT
DISP
HWY
K
0.000 0.943
0.000
0.747
0.000 0.941
0.000 0.935
0.000 0.711
0.000 0.659
0.000
0.924
Adjusted K
0.933
0.719
0.934
0.928
0.696
0.641
0.920
Regression Equation
CITY = 6.86 -0.00133WT -0.256DISP + 0.658HWY
CITY = 38.2 -0.00164WT - 1.28DISP
CITY=6.71 -0.00164WT +0.667HWY
CITY = 1.880.624DISP+ 0.702HWY
CITY=41.5-0.00604WT
CITY = 28.8 - 2.99DISP
CITY = -3.11 +0.823HWY
Transcribed Image Text:or (x) variables P-value DISP/HWY NT/DISP WT/HWY ISP/HWY WT DISP HWY K 0.000 0.943 0.000 0.747 0.000 0.941 0.000 0.935 0.000 0.711 0.000 0.659 0.000 0.924 Adjusted K 0.933 0.719 0.934 0.928 0.696 0.641 0.920 Regression Equation CITY = 6.86 -0.00133WT -0.256DISP + 0.658HWY CITY = 38.2 -0.00164WT - 1.28DISP CITY=6.71 -0.00164WT +0.667HWY CITY = 1.880.624DISP+ 0.702HWY CITY=41.5-0.00604WT CITY = 28.8 - 2.99DISP CITY = -3.11 +0.823HWY
The accompanying table shows results from regressions performed on data from a
random sample of 21 cars. The response (y) variable is CITY (fuel consumption
in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine
displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one
predictor (x) variable is used to predict the city fuel consumption, which single variable
is best? Why?
Click the icon to view the table of regression equations.
The best variable is HWY because it has the best combination of small P-value,
0.000, and large adjusted R²,
(Type integers or decimals. Do not round.)
Transcribed Image Text:The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why? Click the icon to view the table of regression equations. The best variable is HWY because it has the best combination of small P-value, 0.000, and large adjusted R², (Type integers or decimals. Do not round.)
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