Use the following information for questions:
A car salesman is curious if he can predict the fuel efficiency of a car (in MPG) if he knows the fuel capacity of the car (in gallons). He collects data on a variety of makes and models of cars. The scatterplot shows that a linear model is appropriate. SPSS output is provided below.

-How would the 98% prediction interval for the fuel efficiency for Bob's car that holds 18 gallons of fuel compare to the interval calculated in question 89?
A) Narrower
B) Wider

Question

Use the following information for questions:
 A car salesman is curious if he can predict the fuel efficiency of a car (in MPG) if he knows the fuel capacity of the car (in gallons). He collects data on a variety of makes and models of cars. The scatterplot shows that a linear model is appropriate. SPSS output is provided below.
   
-How would the 98% prediction interval for the fuel efficiency for Bob's car that holds 18 gallons of fuel compare to the interval calculated in question 89?
A) Narrower 
B) Wider

Quizplus · Accepted Answer

The prediction interval for a specific value (like fuel efficiency for Bob's car) accounts for both the variability in the estimate of the mean and the variability of individual values around that mean. As we predict further from the mean (e.g., for a car with a significantly different fuel capacity), the prediction interval tends to get wider due to increased uncertainty.

Use the Following Information for Questions