a. Interpret the slope of this regression line if possible. If not, explain. b. Interpret the intercept of this regression line if possible. If not, explain. c. If the amount of power produced by the engine is 190 HP, what is the expected weight for this car? d. If the weight is 3,400 pounds for a car with engine power of 190 HP, what is the residual of weight? e. What percentage of the variability in weight can be explained by the regression line relationship with engine power? f. If we use weight to estimate the engine power in HP, what percentage of the variability in engine power can be explained by the regression line relationship with weight? g. Comparing your results from Q1.h and Q2.f, if you want to predict the engine power of a car, which variable you would prefer to choose? Retail price or weight? Explain.

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2. Another variable the enthusiast recorded was the weight of the car in pounds. The
regression with horsepower is given below.
Simple linear regression results:
Dependent Variable: Weight
Independent Variable: HP
Weight=2084.29 + 6.938 HP
Sample size: 425
R (correlation coefficient) = 0.647
R-sq = 0.418
Estimate of error standard deviation: 581.01
Parameter estimates:
Parameter Estimate Std. Err. Alternative
Intercept 2084.29 90.14
+0
Slope
6.938
0.398
#0
DF T-Stat P-value
423 23.12 <0.0001
XXXX
423 XXXX
a. Interpret the slope of this regression line if possible. If not, explain.
b. Interpret the intercept of this regression line if possible. If not, explain.
c. If the amount of power produced by the engine is 190 HP, what is the expected
weight for this car?
d. If the weight is 3,400 pounds for a car with engine power of 190 HP, what is the
residual of weight?
e. What percentage of the variability in weight can be explained by the regression
line relationship with engine power?
f.
If we use weight to estimate the engine power in HP, what percentage of the
variability in engine power can be explained by the regression line relationship
with weight?
g. Comparing your results from Q1.h and Q2.f, if you want to predict the engine
power of a car, which variable you would prefer to choose? Retail price or weight?
Explain.
Transcribed Image Text:2. Another variable the enthusiast recorded was the weight of the car in pounds. The regression with horsepower is given below. Simple linear regression results: Dependent Variable: Weight Independent Variable: HP Weight=2084.29 + 6.938 HP Sample size: 425 R (correlation coefficient) = 0.647 R-sq = 0.418 Estimate of error standard deviation: 581.01 Parameter estimates: Parameter Estimate Std. Err. Alternative Intercept 2084.29 90.14 +0 Slope 6.938 0.398 #0 DF T-Stat P-value 423 23.12 <0.0001 XXXX 423 XXXX a. Interpret the slope of this regression line if possible. If not, explain. b. Interpret the intercept of this regression line if possible. If not, explain. c. If the amount of power produced by the engine is 190 HP, what is the expected weight for this car? d. If the weight is 3,400 pounds for a car with engine power of 190 HP, what is the residual of weight? e. What percentage of the variability in weight can be explained by the regression line relationship with engine power? f. If we use weight to estimate the engine power in HP, what percentage of the variability in engine power can be explained by the regression line relationship with weight? g. Comparing your results from Q1.h and Q2.f, if you want to predict the engine power of a car, which variable you would prefer to choose? Retail price or weight? Explain.
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