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Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.t However, it is important their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ý = 4.35 + 8.81x and MSE = 94.42. be able to give reasonable estimates of waiting time when customers arrive and put (a) Develop a point estimate (in min) for a customer who arrives with eight people on the wait-list. (Round your answer to two decimal places.) min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with eight customers already in line. (Round your answers to two decimal places.) min to min (c) Develop a 95% prediction interval for Roger and Sherry Davy's waiting time (in min) if there are eight customers in line when they arrive. (Round your answers to two decimal places.) min to min (d) Discuss the difference between part (b) and part (c). The prediction interval is much ---Select--- v than the confidence interval. This is because it is --Select--- difficult to predict the waiting time for an individual customer arriving with eight people in line than it is to estimate the mean waiting time for a customer arriving with eight people in line.

Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.t However, it is important their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ý = 4.35 + 8.81x and MSE = 94.42. be able to give reasonable estimates of waiting time when customers arrive and put (a) Develop a point estimate (in min) for a customer who arrives with eight people on the wait-list. (Round your answer to two decimal places.) min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with eight customers already in line. (Round your answers to two decimal places.) min to min (c) Develop a 95% prediction interval for Roger and Sherry Davy's waiting time (in min) if there are eight customers in line when they arrive. (Round your answers to two decimal places.) min to min (d) Discuss the difference between part (b) and part (c). The prediction interval is much ---Select--- v than the confidence interval. This is because it is --Select--- difficult to predict the waiting time for an individual customer arriving with eight people in line than it is to estimate the mean waiting time for a customer arriving with eight people in line.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.t However, it is important their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ý = 4.35 + 8.81x and MSE = 94.42. be able to give reasonable estimates of waiting time when customers arrive and put (a) Develop a point estimate (in min) for a customer who arrives with eight people on the wait-list. (Round your answer to two decimal places.) min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with eight customers already in line. (Round your answers to two decimal places.) min to min (c) Develop a 95% prediction interval for Roger and Sherry Davy's waiting time (in min) if there are eight customers in line when they arrive. (Round your answers to two decimal places.) min to min (d) Discuss the difference between part (b) and part (c). The prediction interval is much ---Select--- v than the confidence interval. This is because it is --Select--- difficult to predict the waiting time for an individual customer arriving with eight people in line than it is to estimate the mean waiting time for a customer arriving with eight people in line.
Transcribed Image Text:Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.t However, it is important their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ý = 4.35 + 8.81x and MSE = 94.42. be able to give reasonable estimates of waiting time when customers arrive and put (a) Develop a point estimate (in min) for a customer who arrives with eight people on the wait-list. (Round your answer to two decimal places.) min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with eight customers already in line. (Round your answers to two decimal places.) min to min (c) Develop a 95% prediction interval for Roger and Sherry Davy's waiting time (in min) if there are eight customers in line when they arrive. (Round your answers to two decimal places.) min to min (d) Discuss the difference between part (b) and part (c). The prediction interval is much ---Select--- v than the confidence interval. This is because it is --Select--- difficult to predict the waiting time for an individual customer arriving with eight people in line than it is to estimate the mean waiting time for a customer arriving with eight people in line.
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