Hint(s) Check My Work Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, noshows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system (pressherald.com). However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable 2) and actual waiting time (dependent variable y). The estimated regression equation is: y = 11.97 +7.68x and MSE=144.2066. Click on the datafile logo to reference the data. DATA file Use Table 2 of Appendix B. O a. Develop a point estimate for a customer who arrive with three people on the wait-list (to 1 decimal). minutes b. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). minutes, minutes) c. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three customers in line when they arrive (to 2 decimals). minutes, minutes) d. Discuss the differences in your answers to parts (b) and (c). The prediction interval is - Select your answer than the confidence interval. O O

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quation for Estimation and Prediction)
Question 4 of
Hint(s) Check My Work
O Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, noshows are costly, and they would
rather have their staff focused on customer service rather than maintaining a reservation system (pressherald.com). However, it is important to be able to give reasonable estimates of
O
waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent
Ovariable x) and actual waiting time (dependent variable y). The estimated regression equation is: y = 11.97 +7.68x and MSE= 144.2066. Click on the datafile logo to reference the
data.
DATA file
Use Table 2 of Appendix B.
a. Develop a point estimate for a customer who arrive with three people on the wait-list (to 1 decimal).
minutes
b. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals).
minutes,
minutes)
(
c. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three customers in line when they arrive (to 2 decimals).
d
minutes,
minutes)
d. Discuss the differences in your answers to parts (b) and (c).
The prediction interval is Select your answer than the confidence interval.
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Transcribed Image Text:quation for Estimation and Prediction) Question 4 of Hint(s) Check My Work O Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, noshows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system (pressherald.com). However, it is important to be able to give reasonable estimates of O waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent Ovariable x) and actual waiting time (dependent variable y). The estimated regression equation is: y = 11.97 +7.68x and MSE= 144.2066. Click on the datafile logo to reference the data. DATA file Use Table 2 of Appendix B. a. Develop a point estimate for a customer who arrive with three people on the wait-list (to 1 decimal). minutes b. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). minutes, minutes) ( c. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three customers in line when they arrive (to 2 decimals). d minutes, minutes) d. Discuss the differences in your answers to parts (b) and (c). The prediction interval is Select your answer than the confidence interval. O Icon Key Everrice 14 35 Alan (Teing the Fetimated Degraceinn Fration for Fetimation and Prediction) DII FB 888 spots 80 ** FA & % 6 3 7 O O 7 A ! 2 W S F3 E D $ ਝ 4 R F 5 T G Y of A H U 2 8 J 1 ( 9 DD K M ) O $35 L < Hint(s) Check My Work m "S A ?
A1
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A
B
1 Number of Customers
Waiting Time (Minutes)
4
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42
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Transcribed Image Text:A1 X ✔fx Number of Customers A B 1 Number of Customers Waiting Time (Minutes) 4 22 3 4 5 69 7 89100m23 15161131902 23 11 14 17 18 22 24 3 5 5 7 4 8 4 7 5 58 38 37 45 63 42 83 54 70 29 C D E F
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