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). The equation CITY = -3.14+0.816HWY was previously determined to be the best for predicting city fuel consumption. A car weighs 2740 lb, it has an engine displacement of 1.5 L, and its highway fuel consumption is 40 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate? Click the icon to view the table of regression equations. Regression Table The best predicted value of the city fuel consumption is (Type an integer or a decimal. Do not round.) Predictor (x) Variables P-Value R2 WT/DISP/HWY 0.000 0.943 WT/DISP 0.000 0.748 WT/HWY 0.000 0.942 0.000 0.935 0.000 0.711 0.000 0.658 0.000 0.923 DISP/HWY WT DISP HWY Adjusted R² Regression Equation 0.933 CITY=6.82-0.00126WT-0.255DISP+0.657HWY 0.720 0.936 0.928 0.696 0.640 0.919 CITY=38.2-0.00161WT-1.27DISP CITY=6.66-0.00161WT+0.666HWY CITY=1.86-0.621DISP+0.704HWY CITY=41.7-0.00601WT CITY=29.5-2.99DISP CITY=-3.14+0.816HWY

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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). The equation CITY = -3.14 +0.816HWY was previously determined to be
the best for predicting city fuel consumption. A car weighs 2740 lb, it has an engine displacement of 1.5 L, and its highway fuel consumption is 40 mi/gal. What is the best predicted value of the city
fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?
Click the icon to view the table of regression equations.
Regression Table
The best predicted value of the city fuel consumption is
(Type an integer or a decimal. Do not round.)
Predictor (x) Variables
WT/DISP/HWY
WT/DISP
WT/HWY
DISP/HWY
WT
DISP
HWY
P-Value R²
0.000 0.943
0.000 0.748
0.000 0.942
0.000 0.935
0.000 0.711
0.000 0.658
0.000 0.923
Adjusted R²
0.933
0.720
0.936
0.928
0.696
0.640
0.919
Print
Regression Equation
CITY=6.82 -0.00126WT-0.255DISP+ 0.657HWY
CITY = 38.2 -0.00161WT - 1.27DISP
CITY = 6.66 -0.00161WT +0.666HWY
CITY = 1.86 -0.621DISP+ 0.704HWY
CITY = 41.7 -0.00601WT
CITY = 29.5-2.99DISP
CITY 3.14 +0.816HWY
Done
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). The equation CITY = -3.14 +0.816HWY was previously determined to be the best for predicting city fuel consumption. A car weighs 2740 lb, it has an engine displacement of 1.5 L, and its highway fuel consumption is 40 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate? Click the icon to view the table of regression equations. Regression Table The best predicted value of the city fuel consumption is (Type an integer or a decimal. Do not round.) Predictor (x) Variables WT/DISP/HWY WT/DISP WT/HWY DISP/HWY WT DISP HWY P-Value R² 0.000 0.943 0.000 0.748 0.000 0.942 0.000 0.935 0.000 0.711 0.000 0.658 0.000 0.923 Adjusted R² 0.933 0.720 0.936 0.928 0.696 0.640 0.919 Print Regression Equation CITY=6.82 -0.00126WT-0.255DISP+ 0.657HWY CITY = 38.2 -0.00161WT - 1.27DISP CITY = 6.66 -0.00161WT +0.666HWY CITY = 1.86 -0.621DISP+ 0.704HWY CITY = 41.7 -0.00601WT CITY = 29.5-2.99DISP CITY 3.14 +0.816HWY Done
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