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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 (2) 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

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 (2) 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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. 

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).

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).

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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