The accompanying table shows results from regressions performed on data from a random sample of 21 ca response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DIS (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). The equation CITY = -3.16 +0.815HWY was previously determined to be the best for predicting city fuel consumption. A car weighs 2700 lb, it has an engine displacement of 1.5 L, and its highway fuel consumption is 37 mil/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 valu likely to be very accurate? E Click the icon to view the table of regression equations. The best predicted value of the city fuel consumption is 26.995 mi/gal. (Type an integer or a decimal. Do not round.) The predicted value is not likely to be a good estimate and is not likely to be very accurate because the best equation does not have the largest Adjusted R value. Regression Table Predictor (x) Variables P-Value WT/DISP/HWY R Adjusted R? 0.944 Regression Equation CITY = 6.84 - 0.00127WT - 0.252DISP + 0.651H CITY = 38.5 - 0.00161WT - 1.31DISP 0.000 0.934 WT/DISP 0.000 0.748 0.720 WT/HWY 0.000 0.942 0.936 CITY = 6.75 -0.00161WT + 0.667HWY CITY = 1.88 –0.622DISP+ 0.702HWY CITY = 42.2 –0.00606WT CITY = 29.5-2.97DISP CITY = -3.16 + 0.815HWY DISP/HWY 0.000 0.935 0.928 WT 0.000 0.713 0.698 DISP 0.000 0.659 0.641 HWY 0.000 0.923 0.919 %3D 38,173 APR
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
 alt="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 = -3.16+0.815HWY was previously determined to be the best for predicting city fuel consumption. A car weighs
2700 lb, it has an engine displacement of 1.5 L, and its highway fuel consumption is 37 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?
E Click the icon to view the table of regression equations.
The best predicted value of the city fuel consumption is 26.995 mi/gal.
(Type an integer or a decimal. Do not round.)
The predicted value is not likely to be a good estimate and is not likely to be very accurate because
the best equation does not have the largest Adjusted R value.
Regression Table
R2
Adjusted R2
0.934
Predictor (x) Variables P-Value
Regression Equation
CITY = 6.84 -0.00127WT - 0.252DISP + 0.651H
CITY = 38.5 -0.00161WT – 1.31DISP
WT/DISP/HWY
0.000
0.944
WT/DISP
0.000
0.748
0.720
WT/HWY
0.000
0.942
0.936
CITY = 6.75 -0.00161WT + 0.667HWY
DISP/HWY
WT
0.000
0.000
0.000
0.935
0.713
0.928
CITY = 1.88 –0.622DISP + 0.702HWY
CITY = 42.2-0.00606WT
CITY = 29.5 - 2.97DISP
CITY = - 3.16+ 0.815HWY
0.698
DISP
0.641
0.919
0.659
HWY
0.000
0.923
38,173
APR
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