Concur Technologies, Inc., is a large expense-management company located in Redmond, Washington. The Wall Street Journal asked Concur to examine the data from 8.3 million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city, with an average daily hotel room rate of $198 and an average amount spent on entertainment, including group meals and tickets for shows, sports, and other events, of $172. In comparison, the U.S. averages for these two categories were $89 for the room rate and $99 for entertainment. The table in the Excel Online file below shows the average daily hotel room rate and the amount spent on entertainment for a random sample of 9 of the 25 most visited U.S. cities (The Wall Street Journal, August 18, 2011). Construct a spreadsheet to answer the following questions. Open spreadsheet a. Choose the correct diagram for these data with the room rate as the independent variable. The correct scatter diagram is diagram D✔. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive c. Develop the least squares estimated regression Entertainment= [ ]+[ d. Provide an interpretation for the slope of the estimated regression equation (to 3 decimals). The slope of the estimated regression line is approximately [ A. B. Entertainment ($) e. The average room rate in Chicago is $128, considerably higher than the U.S. average. Predict the entertainment expense per day for Chicago (to whole number). $ 180 +160 140 -120 -100 -80 -180 +160 . -100 linear relationship between the hotel room rate and the amount spent on entertainment. equation. Room Rate (to 4 decimals) SO 90 100 Entertainment ($) 140 F... -120 SO 90 100 120 Hotel Room Rate (5) . So, for every dollar increase in the hotel room rate the amount spent on entertainment increases by s 110 120 130 140 150 160 170 +Hotel Room Rate (5) Battl 110 130 140 150 160 170 C. D. +160 -140 -120 +100 -80 Entertainment (5) +180 +160 +140 -120 +100 SO 90 100 110 120 130 140 150 160 170 Hotel Room Rate (5) food -80 ". SO 90 100 110 120 130 140 150 160 170 ottofond Hotel Room Rate (5)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Concur Technologies, Inc., is a large expense-management company located in Redmond, Washington. The Wall Street Journal asked Concur to examine the data from 8.3 million expense reports to provide insights
regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city, with an average daily hotel room rate of $198 and an average amount spent on entertainment,
including group meals and tickets for shows, sports, and other events, of $172. In comparison, the U.S. averages for these two categories were $89 for the room rate and $99 for entertainment. The table in the Excel
Online file below shows the average daily hotel room rate and the amount spent on entertainment for a random sample of 9 of the 25 most visited U.S. cities (The Wall Street Journal, August 18, 2011). Construct a
spreadsheet to answer the following questions.
X
Open spreadsheet
a. Choose the correct diagram for these data with the room rate as the independent variable.
The correct scatter diagram is diagram D ✓
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a positive
c. Develop the least squares estimated regression equation.
Entertainment =
+
Room Rate (to 4 decimals)
d. Provide an interpretation for the slope of the estimated regression equation (to 3 decimals).
The slope of the estimated regression line is approximately
So, for every dollar increase
in the hotel room rate the amount spent on entertainment increases by $
e. The average room rate in Chicago is $128, considerably higher than the U.S. average. Predict the entertainment expense per day for Chicago (to whole number).
A.
B.
$
Entertainment (S)
-180
160
140
120
100
-80
180
160
Entertainment ($)
140
120
100
80
-80
.
80
90 100 110
90
·
100
linear relationship between the hotel room rate and the amount spent on entertainment.
120 130 140
Hotel Room Rate (S)
150 160 170
110 120 130 140 150 160 170
Hotel Room Rad
Rate ($)
C.
D.
-160
-140
-120
-100
-80
-180
Entertainment ($)
-160
-140
120
100
80 90
-80
80
100
90
100
110 120 130 140 150 160 170
+Hotel Room Rate ($)
110
120 130 140 150 160 170
Hotel Room Rate ($)
Transcribed Image Text:Concur Technologies, Inc., is a large expense-management company located in Redmond, Washington. The Wall Street Journal asked Concur to examine the data from 8.3 million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city, with an average daily hotel room rate of $198 and an average amount spent on entertainment, including group meals and tickets for shows, sports, and other events, of $172. In comparison, the U.S. averages for these two categories were $89 for the room rate and $99 for entertainment. The table in the Excel Online file below shows the average daily hotel room rate and the amount spent on entertainment for a random sample of 9 of the 25 most visited U.S. cities (The Wall Street Journal, August 18, 2011). Construct a spreadsheet to answer the following questions. X Open spreadsheet a. Choose the correct diagram for these data with the room rate as the independent variable. The correct scatter diagram is diagram D ✓ b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive c. Develop the least squares estimated regression equation. Entertainment = + Room Rate (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 3 decimals). The slope of the estimated regression line is approximately So, for every dollar increase in the hotel room rate the amount spent on entertainment increases by $ e. The average room rate in Chicago is $128, considerably higher than the U.S. average. Predict the entertainment expense per day for Chicago (to whole number). A. B. $ Entertainment (S) -180 160 140 120 100 -80 180 160 Entertainment ($) 140 120 100 80 -80 . 80 90 100 110 90 · 100 linear relationship between the hotel room rate and the amount spent on entertainment. 120 130 140 Hotel Room Rate (S) 150 160 170 110 120 130 140 150 160 170 Hotel Room Rad Rate ($) C. D. -160 -140 -120 -100 -80 -180 Entertainment ($) -160 -140 120 100 80 90 -80 80 100 90 100 110 120 130 140 150 160 170 +Hotel Room Rate ($) 110 120 130 140 150 160 170 Hotel Room Rate ($)
1
City
2 Boston
3 Denver
4 Nashville
5 New Orleans
6 Phoenix
7 San Diego
8
9
10 Tampa
11
12
13
14
15
16
17
18
19
20
21
22
23
A
24
25
26
27
28
29
30
San Francisco
San Jose
B
Hotel Room Rate Entertainment
($)
($)
146
100
90
113
92
103
132
87
82
163
104
99
143
98
121
166
140
98
D
E
Part a.
Part c.
Part e.
Slope
Intercept
G
Use the area below to draw a scatter diagram.
Room Rate in Chicago
Entertainment Expense for
Chicago
H
128
Formula
#N/A
#N/A
#N/A
J
K
Transcribed Image Text:1 City 2 Boston 3 Denver 4 Nashville 5 New Orleans 6 Phoenix 7 San Diego 8 9 10 Tampa 11 12 13 14 15 16 17 18 19 20 21 22 23 A 24 25 26 27 28 29 30 San Francisco San Jose B Hotel Room Rate Entertainment ($) ($) 146 100 90 113 92 103 132 87 82 163 104 99 143 98 121 166 140 98 D E Part a. Part c. Part e. Slope Intercept G Use the area below to draw a scatter diagram. Room Rate in Chicago Entertainment Expense for Chicago H 128 Formula #N/A #N/A #N/A J K
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Follow-up Question
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
The scatter diagram indicates a positive ✔✔✔ linear relationship between the hotel room rate and the amount spent on entertainment.
c. Develop the least squares estimated regression equation.
Entertainment = 18.2594
X + 1.0272
Room Rate (to 4 decimals)
d. Provide an interpretation for the slope of the estimated regression equation (to 3 decimals).
The slope of the estimated regression line is approximately 1.027
So, for every dollar increase ♥
e. The average room rate in Chicago is $128, considerably higher than the U.S. average. Predict the entertainment expense per day for Chicago (to whole number).
$ 150
in the hotel room rate the amount spent on entertainment increases by $1.027
Transcribed Image Text:b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive ✔✔✔ linear relationship between the hotel room rate and the amount spent on entertainment. c. Develop the least squares estimated regression equation. Entertainment = 18.2594 X + 1.0272 Room Rate (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 3 decimals). The slope of the estimated regression line is approximately 1.027 So, for every dollar increase ♥ e. The average room rate in Chicago is $128, considerably higher than the U.S. average. Predict the entertainment expense per day for Chicago (to whole number). $ 150 in the hotel room rate the amount spent on entertainment increases by $1.027
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