A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d). E Click the icon to view the data table. a. Construct a scatter diagram. Choose the correct graph below. O A. OB. Oc. OD. Q 50- 50- Q 50 Customers Time Customers Time b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,. Data table be = 0 b, = 0 Day 1 Time 1.43 Customers Day 16 Customers Time 2.8 (Round to four decimal places as needed.) 16 22 17 24 20 1.68 17 1.7 c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below. 0.95 0.96 1.57 3.57 9 2.5 18 19 20 21 22 23 24 25 26 27 28 29 30 4 5 6 5 16 2.4- O A. The approximate number of customers when the waiting time is 0 minutes is b,. 3.1 1.9 17 22 30 16 O B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes. 71 26 3.42 0.31 0.77 14 8 9 10 0.70 1.50 3.8 11 19 OC. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,. 10 28 O D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes. 11 1.28 18 1.5- 11 20 2.97 21 1.8 12 13 14 15 34 4.16 3.52 0.16 2.36 20 3.0 d. Predict the waiting time when there are 18 customers in the store. 23 8 17 30 3.7 minutes 37 4.1 40 5.6 (Round to two decimal place es as needed)
A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d). E Click the icon to view the data table. a. Construct a scatter diagram. Choose the correct graph below. O A. OB. Oc. OD. Q 50- 50- Q 50 Customers Time Customers Time b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,. Data table be = 0 b, = 0 Day 1 Time 1.43 Customers Day 16 Customers Time 2.8 (Round to four decimal places as needed.) 16 22 17 24 20 1.68 17 1.7 c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below. 0.95 0.96 1.57 3.57 9 2.5 18 19 20 21 22 23 24 25 26 27 28 29 30 4 5 6 5 16 2.4- O A. The approximate number of customers when the waiting time is 0 minutes is b,. 3.1 1.9 17 22 30 16 O B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes. 71 26 3.42 0.31 0.77 14 8 9 10 0.70 1.50 3.8 11 19 OC. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,. 10 28 O D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes. 11 1.28 18 1.5- 11 20 2.97 21 1.8 12 13 14 15 34 4.16 3.52 0.16 2.36 20 3.0 d. Predict the waiting time when there are 18 customers in the store. 23 8 17 30 3.7 minutes 37 4.1 40 5.6 (Round to two decimal place es as needed)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d).
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a. Construct a scatter diagram . Choose the correct graph below.
b. Assuming a linear relationship, use the least-squares method to find the regression coefficients
b0
and
b1.
|
b0
|
=
|
enter your response here
|
|
b1
|
=
|
enter your response here
|
|
|
|
(Round to four decimal places as needed.)
|
c. Interpret the meaning of the slope,
b1,
in this problem. Choose the correct answer below.The approximate number of customers when the waiting time is 0 minutes is
b1.
For each increase of one customer in the store, the waiting time is expected to decrease by
b1
minutes.For each increase of one minute of waiting time, the number of customers in the store is expected to increase by
b1.
Transcribed Image Text:A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant
number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d).
E Click the icon to view the data table.
a. Construct a scatter diagram. Choose the correct graph below.
O A.
O B.
Oc.
OD.
6-
50-
6-
50-
0-
50
50
Customers
Time
Customers
Time
b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,.
b, =
b, =|
(Round to four decimal places as needed.)
c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below.
O A. The approximate number of customers when the waiting time is 0 minutes is b,.
O B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes.
O C. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,.
O D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes.
d. Predict the waiting time when there are 18 customers in the store.
O minutes
(Round to two decimal places as needed.)
Customers
Transcribed Image Text:A critically important aspect of customer service in a supermarket is the waiting time at the checkout (defined as the time the customer enters the line until he or she is served). Data were collected during time periods where there were a constant
number of checkout counters open. The total number of customers in the store and the waiting times (in minutes) were recorded. The results are displayed in the accompanying table. Complete parts (a) through (d).
E Click the icon to view the data table.
a. Construct a scatter diagram. Choose the correct graph below.
O A.
OB.
Oc.
OD.
6-
50-
50-
0+
0-
0-
50
50
Customers
Time
Customers
Time
b. Assuming a linear relationship, use the least-squares method to find the regression coefficients b, and b,.
Data table
b, =
b, =
Day
1
Customers
Time
Day
16
17
18
Customers
Time
16
22
17
(Round to four decimal places as needed.)
1.43
2.87
1.68
0.95
2
20
1.71
c. Interpret the meaning of the slope, b,, in this problem. Choose the correct answer below.
3
9
24
2.52
2.44
3.17
1.97
4
5
17
0.96
19
16
O A. The approximate number of customers when the waiting time is 0 minutes is b,.
5
1.57
20
22
30
3.57
21
16
O B. For each increase of one customer in the store, the waiting time is expected to decrease by b, minutes.
OC. For each increase of one minute of waiting time, the number of customers in the store is expected to increase by b,.
7
26
3.42
22
14
0.76
1.56
3.89
1.54
8
11
0.31
23
19
10
0.77
24
25
28
1.28
2.97
4.16
O D. For each increase of one customer in the store, the waiting time is expected to increase by b, minutes.
10
11
18
11
20
26
21
1.88
3.07
3.76
12
34
27
20
d. Predict the waiting time when there are 18 customers in the store.
3.52
0.16
2.36
13
23
28
30
29
30
minutes
14
8
37
4.11
15
17
40
5.68
(Round to two decimal places as needed.)
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