Data on x = the weight of a pickup truck (pounds) and y = distance (in feet) required for a truck traveling 40 miles per hour to come to a complete stop for 30 trucks was used to fit the least squares regression line . Which of the following statements is a correct interpretation of the value 26 in the equation of the regression line?
A)On average, the stopping distance increases by 26 feet for each 1-pound increase in truck weight.
B)On average, the truck weight increases by 26 pounds for each additional foot in stopping distance.
C)On average, the stopping distance is 26 feet when the truck weight is 0.
D)Approximately 26% of the variation in the stopping distances can be explained by the linear relationship between stopping distance and truck weight.
E)It is not reasonable to interpret the intercept in this setting because a weight of 0 is outside the range of the data used to fit the regression line.

Question

Data on x = the weight of a pickup truck (pounds) and y = distance (in feet) required for a truck traveling 40 miles per hour to come to a complete stop for 30 trucks was used to fit the least squares regression line  . Which of the following statements is a correct interpretation of the value 26 in the equation of the regression line? ​
A)On average, the stopping distance increases by 26 feet for each 1-pound increase in truck weight. 
B)On average, the truck weight increases by 26 pounds for each additional foot in stopping distance. 
C)On average, the stopping distance is 26 feet when the truck weight is 0. 
D)Approximately 26% of the variation in the stopping distances can be explained by the linear relationship between stopping distance and truck weight. 
E)It is not reasonable to interpret the intercept in this setting because a weight of 0 is outside the range of the data used to fit the regression line.

Quizplus · Accepted Answer

The Answer of Data on x = the weight of a pickup truck (pounds) and y = distance (in feet) required for a truck traveling 40 miles per hour to come to a complete stop for 30 trucks was used to fit the least squares regression line  . Which of the following statements is a correct interpretation of the value 26 in the equation of the regression line? ​
A)On average, the stopping distance increases by 26 feet for each 1-pound increase in truck weight. 
B)On average, the truck weight increases by 26 pounds for each additional foot in stopping distance. 
C)On average, the stopping distance is 26 feet when the truck weight is 0. 
D)Approximately 26% of the variation in the stopping distances can be explained by the linear relationship between stopping distance and truck weight. 
E)It is not reasonable to interpret the intercept in this setting because a weight of 0 is outside the range of the data used to fit the regression line.

Data on X = the Weight of a Pickup Truck