The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine 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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine 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. The following table shows the average daily hotel room rate (X) and the average amount spent on entertainment (Y) for a random sample of 9 of the 25 most-visited U.S. cities. These data lead to the estimated regression equation y = 17.49 + 1.0334x. For these data SSE = 1541.4. Use Table 1 of Appendix B. 

(NEED ANSWER FOR A) 

a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89  (to 2 decimals).

The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine 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. The following table shows the
average daily hotel room rate (x) and the average amount spent on entertainment (y) for a random sample of 9 of the 25 most-visited U.S. cities. These
data lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4. Click on the datafile logo to reference the data. Use
Table 1 of Appendix B.
DATA file
Room Rate Entertainment
City
($)
(s)
Boston
148
161
Denver
96
105
Nashville
91
101
New Orleans
110
142
Phoenix
90
100
San Diego
102
120
San Francisco
136
167
06
82
San Jose
140
Tampa
98
a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).
b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals).
$
128 to $ 149.77
c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
$ 110.69 to $ 188.84
Transcribed Image Text:The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine 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. The following table shows the average daily hotel room rate (x) and the average amount spent on entertainment (y) for a random sample of 9 of the 25 most-visited U.S. cities. These data lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4. Click on the datafile logo to reference the data. Use Table 1 of Appendix B. DATA file Room Rate Entertainment City ($) (s) Boston 148 161 Denver 96 105 Nashville 91 101 New Orleans 110 142 Phoenix 90 100 San Diego 102 120 San Francisco 136 167 06 82 San Jose 140 Tampa 98 a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals). b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals). $ 128 to $ 149.77 c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals). $ 110.69 to $ 188.84
TABLE 4 F DISTRIBUTION
Area or
probability
F.
Entries in the table give Fa values, where a is the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom,
8 denominator degrees of freedom, and a .05 area in the upper tail, F9s = 3.84.
Denominat tor
Area in
Numerator Degrees of Free dom
Degrees
of Freed om
Upper
Tail
1
2
3.
5
6.
7
10
15
20
25
30
40
60
100
100
39.86
59.86
240.54
.10
49.50
53.59
55.83
57.24
58.20
58.91
59.44
60.19
61.22
61.74
62.05
62.26
62.53
62.79
6301
63.30
05
161.45
199.50
215.71
224.58
230.16
233.99
236.77
238.88
241.88
245.95
248.02
249.26
250.10
251.14
252.20
253.04
254.19
984.87
1005.60
6286.43
025
647.79
799.48
864.15
899.60
921.83
937.11
948.20
956.64
963.28
968.63
993.08
998.09
1001 40
1009.79
1013.16
6333.92
1017.76
4052.18 4999.34 5403.53 5624.26 5763.96 5858.95 5928.33
5980.95 6022.40 6055.93 6156.97
6208.66
6239.86
6260.35
6312.97
6362.80
10
8.53
9.00
9.16
9.24
9.29
9.33
9.35
9.37
9.38
9.39
9.42
9,44
9.45
9.46
9,47
947
9.48
9.49
05
1851
19.00
19.16
19.25
19.30
19.33
19.35
19.37
19.38
19.40
1943
19,45
19.46
19.46
19,47
19.48
1949
19.49
025
38.51
39,00
39,17
39.25
39.30
39.33
39.36
39.37
39.39
39,40
39.43
39.45
39 46
39.46
39,47
39 48
39.49
39.50
01
98.50
9900
99.16
99.25
99.30
99.33
99.36
99.38
99.39
99,40
9943
99.45
99,46
99,47
99,48
99 48
99,49
99.50
.10
5.54
5.46
5,39
5.34
5.31
5,28
5.27
5.25
5.24
5.23
5.20
5. 18
5,17
5,17
5. 16
5.15
5.14
5.13
05
10.13
9.55
9.28
9.12
9.01
8.94
8.89
8.85
8.81
8.79
8,70
8,66
8.63
8,62
8,59
8.57
8.55
8.53
025
17.44
16.04
15.44
15.10
14.88
14,73
14.62
14.54
14,47
14.42
14.25
14.17
14.12
14.08
14.04
13.99
13.96
13.91
01
34.12
30.82
29.46
28.71
28.24
27.91
27.67
27.49
27.34
27.23
26.87
26.69
26.58
26.50
26.41
26.32
26.24
26.14
.10
4.54
4.32
4.19
4.11
4.05
4.01
3.98
3.95
3.94
3.92
3.87
3.84
3.83
3.82
3.80
3.79
3.78
3.76
05
7.71
6.94
6.59
6.39
6.26
6.16
6.09
6.04
6.00
5.96
5.86
5.80
5.77
5.75
5.72
5.69
5.66
5.63
025
12.22
10.65
9.98
9.60
9.36
9.20
9.07
8,98
8.90
8.84
8.66
8.56
8.50
8.46
8.41
8.36
8.32
8.26
.01
21.20
18.00
16.69
13.98
15.52
15.21
14.98
14.80
14.66
14.55
14.20
14.02
13.91
13.84
13.75
13.65
13.58
13.47
.10
.05
4.06
3,78
3.62
3.52
3.45
3,40
3.37
3.34
3.32
3,30
3,324
3.21
3.19
3.17
3.16
3.14
3. 13
3.11
6.61.
5.79
5.41
5. 19
5.06
4.95
4, 88
4,82
4.77
4.74
4.62
4.56
4.52
4.50
4,46
4,43
4,41
4,37
7.39
7. 15
10.97
025
10,01
8.43
7,76
6,98
6.85
6.76
6,68
6,62
6,43
6.33
6.27
6.23
6.18
6.12
6.08
6,02
.01
16.26
13.27
12.06
11.39
10.67
10.46
10.29
10. 16
10.05
9.72
9.55
945
9.38
9.29
9.20
9.13
9.03
Transcribed Image Text:TABLE 4 F DISTRIBUTION Area or probability F. Entries in the table give Fa values, where a is the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom, 8 denominator degrees of freedom, and a .05 area in the upper tail, F9s = 3.84. Denominat tor Area in Numerator Degrees of Free dom Degrees of Freed om Upper Tail 1 2 3. 5 6. 7 10 15 20 25 30 40 60 100 100 39.86 59.86 240.54 .10 49.50 53.59 55.83 57.24 58.20 58.91 59.44 60.19 61.22 61.74 62.05 62.26 62.53 62.79 6301 63.30 05 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 241.88 245.95 248.02 249.26 250.10 251.14 252.20 253.04 254.19 984.87 1005.60 6286.43 025 647.79 799.48 864.15 899.60 921.83 937.11 948.20 956.64 963.28 968.63 993.08 998.09 1001 40 1009.79 1013.16 6333.92 1017.76 4052.18 4999.34 5403.53 5624.26 5763.96 5858.95 5928.33 5980.95 6022.40 6055.93 6156.97 6208.66 6239.86 6260.35 6312.97 6362.80 10 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 9.39 9.42 9,44 9.45 9.46 9,47 947 9.48 9.49 05 1851 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 1943 19,45 19.46 19.46 19,47 19.48 1949 19.49 025 38.51 39,00 39,17 39.25 39.30 39.33 39.36 39.37 39.39 39,40 39.43 39.45 39 46 39.46 39,47 39 48 39.49 39.50 01 98.50 9900 99.16 99.25 99.30 99.33 99.36 99.38 99.39 99,40 9943 99.45 99,46 99,47 99,48 99 48 99,49 99.50 .10 5.54 5.46 5,39 5.34 5.31 5,28 5.27 5.25 5.24 5.23 5.20 5. 18 5,17 5,17 5. 16 5.15 5.14 5.13 05 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79 8,70 8,66 8.63 8,62 8,59 8.57 8.55 8.53 025 17.44 16.04 15.44 15.10 14.88 14,73 14.62 14.54 14,47 14.42 14.25 14.17 14.12 14.08 14.04 13.99 13.96 13.91 01 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.34 27.23 26.87 26.69 26.58 26.50 26.41 26.32 26.24 26.14 .10 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.92 3.87 3.84 3.83 3.82 3.80 3.79 3.78 3.76 05 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96 5.86 5.80 5.77 5.75 5.72 5.69 5.66 5.63 025 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8,98 8.90 8.84 8.66 8.56 8.50 8.46 8.41 8.36 8.32 8.26 .01 21.20 18.00 16.69 13.98 15.52 15.21 14.98 14.80 14.66 14.55 14.20 14.02 13.91 13.84 13.75 13.65 13.58 13.47 .10 .05 4.06 3,78 3.62 3.52 3.45 3,40 3.37 3.34 3.32 3,30 3,324 3.21 3.19 3.17 3.16 3.14 3. 13 3.11 6.61. 5.79 5.41 5. 19 5.06 4.95 4, 88 4,82 4.77 4.74 4.62 4.56 4.52 4.50 4,46 4,43 4,41 4,37 7.39 7. 15 10.97 025 10,01 8.43 7,76 6,98 6.85 6.76 6,68 6,62 6,43 6.33 6.27 6.23 6.18 6.12 6.08 6,02 .01 16.26 13.27 12.06 11.39 10.67 10.46 10.29 10. 16 10.05 9.72 9.55 945 9.38 9.29 9.20 9.13 9.03
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