Question

Question Help Regression was performed on test data for 49 car models to examine the association between the weight of the car (in thousands of pounds) and the fuel efficiency (in miles per gallon). Complete parts (a) and (b). Click the icon to view the regression table a) Create a 95% confidence interval for the average fuel efficiency among cars weighing 2600 pounds, and explain what your interval means. The 95% confidence interval is (37.92 3930) (Round to two decimal places as needed.) Explain what your interval means. Choose the correct answer below O A We are 95% confident that cars weighing more than 2600 pounds will have mean fuel efficiency between the bounds of the interval 3. We are 95% confident that cars weighing 2600 pounds will have a mean fuel efficiency between the bounds of the interval. O C. We are 95% confident that cars weighing less than 2600 pounds will have a mean fuel efficiency outside the confidence interval O D. We are 95% confident that a car weighing 2600 pounds will have a mean fuel efficiency between the bounds of the interval b) Create a 95% prediction interval for the gas mileage you might get driving your new 3000-pound SUV, and explain what that interval means. The 95% prediction interval is (27.71.37 01). (Round to two decimal places as needed) Explain what your interval means. Choose the correct answer below

Answer 1

A prediction interval is a range of value that predict range for new observation based on the regression analyses or regression model.

With this type of interval, we are predicting ranges for individual observations .

While in the confidence interval we are giving range of the mean value of parameter.

hence while interpreting the confindence interval in a) part we conclude mean fuel efficiency will lie between the calculated bounds and in b) part we say that the fuel efficiency of car weighing 3600 pound will lie between the calculated bounds.

observe in b part we used the word fuel efficiency instead of mean fuel efficiency.

thanx for asking please like.

there is a typo error in b) question. both the option b) and c) are same.