1. Based on the regression model, a vehicle rated at 250 HP is expected to get:
ID: 3155616 • Letter: 1
Question
1. Based on the regression model, a vehicle rated at 250 HP is expected to get:
A) 6.5 mpg B) 15.5 mpg? C) 23 mpg D) We should not make this prediction because no observations were recorded for 250 HP vehicles E) We should not make this prediction because 250 HP is not in the valid prediction range
2. Based on the output and from the choices below, the best interpretation of the coefficient of determination is: A) 77.1% of the variation in mileage can be explained by the variation in the vehicles HP rating B) 77.1% of the variation in HP can be explained by the variation in the vehicles HP rating? C) 87.8% of the variation in mileage can be explained by the variation in the vehicles HP? D) The maximum mileage for vehicles of these models is 38.5 E) For each additional horsepower, the mileage decreases by about 0.1 mpg
3. The linear correlation coefficient between Horsepower and Miles per gallon A) 0.771? B) ?0.771? C) 0.878 D) ?0.878 E) 0.594
4. From the choices below, the best interpretation of the slope estimate is:? A) A vehicle that has 0 HP will have an expected mileage of 38.5 mpg? B) 87.8% of the variation in mileage can be explained by the variation in the vehicles HP C) For each additional 1 mile per gallon increase in mileage, the HP decreases by about 0.1 D) For each additional horsepower, the mileage decreases by about 0.1 mpg? E) The maximum mileage for vehicles of this type is 38.5 mpg
5. From the choices below, the best interpretation of the intercept estimate is (may not be meaningful):? A) A vehicle that has 0 HP will have an expected mileage of 38.5 mpg? B) 87.8% of the variation in mileage can be explained by the variation in the vehicles HP C) For each additional 1 mile per gallon increase in mileage, the HP decreases by about 0.1 D) For each additional horsepower, the mileage decreases by about 0.1 mpg? E) The maximum mileage for vehicles of this type is 38.5 mpg ?
?6. The Lincoln LS is rated at 210 HP and got 23 mpg. Based on this we can conclude: A) The point for the Lincoln LS lies on the LSR line.? B) The Lincolns HP rating was about 42 less than predicted? C) The Lincolns HP rating was about 42 more than predicted D) The Lincolns mileage was about 4 mpg less than predicted E) The Lincolns mileage was about 4 mpg more than predicted
7. For this setting, the valid prediction range is: A) 115 to 310 B) 136.8 to 211.3 C) 10 to 31 D) 17.25 to 26 E) We can’t tell
Explanation / Answer
1. Based on the regression model, a vehicle rated at 250 HP is expected to get:
As
MPG = 38.5 - 0.092HP
then if HP = 250,
MPG = 38.5 - 0.092*250 = 15.5 [ANSWER, B]
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2. Based on the output and from the choices below, the best interpretation of the coefficient of determination is:
By definition,
A) 77.1% of the variation in mileage can be explained by the variation in the vehicles HP rating [ANSWER, A]
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3. The linear correlation coefficient between Horsepower and Miles per gallon
We see an negative linera trend as the graph goes down from lft to right, so
r = -sqrt(0.771) = -0.878 [ANSWER, D]
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4. From the choices below, the best interpretation of the slope estimate is:
By definition,
D) For each additional horsepower, the mileage decreases by about 0.1 mpg [ANSWER, D]
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