ZIP Code Population Season Pass Holders 45220 14171 224 45219 17576 42 45225 13437 15 45217 5731 78 45214 9952 19 45232 6913 28 45223 13349 83 45229 15713 75 45206 11353 69 45202 15105 83 45203 3411 9 45207 8233 8 41074 5566 36 41073 6193 63 45224 21043 207 41071 21596 133 45205 21683 102 45204 6642 36 41016 5603 42 45216 9028 55 45212 22356 207 41011 25849 193 41014 7913 41 45237 21137 86 45208 18236 424 45211 33968 342 45239 26485 269 41075 15868 236 45209 8941 111 45226 5029 84 45238 42737 564 45231 39939 361 45213 11683 153 45215 28915 308 45218 3917 54 41017 40218 493 41076 14779 176 45251 22887 205 45227 18431 215 45247 20372 357 41015 22298 189 45248 22880 380 45236 21823 310 45240 27033 142 45246 13522 100 45230 25763 423 45233 14175 244 45252 4799 58 41018 29001 244 45243 14755 303 45241 25623 299 45014 44178 307 45242 20015 377 45244 26316 448 41059 2266 22 41048 12597 214 41051 18730 323 45255 22552 307 45174 2072 52 41042 50429 440 45002 13298 184 45015 12504 47 45069 46264 561 45052 3770 52 45249 13432 154 41001 16982 164 41005 20892 209 45011 62303 496 45245 17701 189 41091 17372 226 45013 51730 286 45150 31179 316 41094 9748 106 45030 16386 192 45140 52874 657 41063 3662 19 45040 51183 549 45102 22009 217 45039 21398 278 41007 3215 26 45053 3441 25 45157 10312 72 45050 6988 80 41080 2114 11 45067 12507 62 45034 1227 11 45103 29874 267 47025 21986 154 45044 49621 322 41030 7280 35 41092 3198 18 45065 5194 35 41033 1712 11 47060 6910 38 41006 4835 19 45122 12550 59 45042 28821 91 45056 28811 88 45036 36066 225 45064 2376 9 47040 5242 10 45153 2132 10 45152 9686 101 47022 2740 17 47001 10370 36 45162 2900 11 45005 31944 93 41035 9671 54 45106 12675 61 45176 8485 47 45311 7381 10 41043 2968 7 45327 7961 13 41040 7249 14 45066 23119 129 41097 6854 22 45054 1730 12 41095 4218 11 45120 3774 20 45342 31929 55 47032 3628 10 45107 9608 40 47012 10579 23 45130 4202 17 45118 4239 23 41086 1602 5 47018 4435 12 45458 26281 75 45449 19237 15 45068 11293 28 47041 5544 18 45113 4118 16 45154 8093 41 45320 15282 8 45459 26744 39 47031 5179 12 41004 4311 9 41003 2397 5 41010 3321 5 41002 2104 6 45429 25537 39 45305 11159 16 45409 13554 9 45419 15782 33 45121 8919 26 45440 19463 25 45420 24393 20 45410 17025 7 45430 7137 7 45403 16794 8 45142 4973 10 USE CRITICAL VALUE APPROACH TO ANSWER QUESTION Case Problem: Buckeye Creek Amusement Park Buckeye Creek Amusement Park is open from the beginning of May to the end of October. Buckeye Creek relies heavily on the sale of season passes. The sale of season passes brings in significant revenue prior to the park opening each season, and season pass holders contribute a substantial portion of the food, beverage, and novelty sales in the park. Greg Ross, director of marketing at Buckeye Creek, has been asked to develop a targeted marketing campaign to increase season pass sales. Greg has data for last season that show the number of season pass holders for each zip code within 50 miles of Buckeye Creek. He has also obtained the total population of each zip code from the U.S. Census Bureau website. Greg thinks it may be possible to use regression analysis to predict the number of season pass holders in a zip code given the total population of a zip code. If this is possible, he could then conduct a direct mail campaign that would target zip codes that have fewer than the expected number of season pass holders. The data is contained in the Chapter 14 DATAfile BuckeyeCreek. Prepare a managerial report for Greg. Be sure to include the following in your report. Descriptive statistics for the data. Discuss your findings. Using simple linear regression, develop an estimated regression equation that could be used to predict the number of season pass holders in a zip code given the total population of the zip code. Provide a detailed and reasonable interpretation of the estimated coefficients. Test for a significant relationship at the 0.05 level of significance. Did the estimated regression equation provide a good fit? Explain. Discuss if/how the estimated regression equation should be used to guide the marketing campaign. What other data might be useful to predict the number of season pass holders in a zip code?

ZIP Code Population Season Pass Holders 45220 14171 224 45219 17576 42 45225 13437 15 45217 5731 78 45214 9952 19 45232 6913 28 45223 13349 83 45229 15713 75 45206 11353 69 45202 15105 83 45203 3411 9 45207 8233 8 41074 5566 36 41073 6193 63 45224 21043 207 41071 21596 133 45205 21683 102 45204 6642 36 41016 5603 42 45216 9028 55 45212 22356 207 41011 25849 193 41014 7913 41 45237 21137 86 45208 18236 424 45211 33968 342 45239 26485 269 41075 15868 236 45209 8941 111 45226 5029 84 45238 42737 564 45231 39939 361 45213 11683 153 45215 28915 308 45218 3917 54 41017 40218 493 41076 14779 176 45251 22887 205 45227 18431 215 45247 20372 357 41015 22298 189 45248 22880 380 45236 21823 310 45240 27033 142 45246 13522 100 45230 25763 423 45233 14175 244 45252 4799 58 41018 29001 244 45243 14755 303 45241 25623 299 45014 44178 307 45242 20015 377 45244 26316 448 41059 2266 22 41048 12597 214 41051 18730 323 45255 22552 307 45174 2072 52 41042 50429 440 45002 13298 184 45015 12504 47 45069 46264 561 45052 3770 52 45249 13432 154 41001 16982 164 41005 20892 209 45011 62303 496 45245 17701 189 41091 17372 226 45013 51730 286 45150 31179 316 41094 9748 106 45030 16386 192 45140 52874 657 41063 3662 19 45040 51183 549 45102 22009 217 45039 21398 278 41007 3215 26 45053 3441 25 45157 10312 72 45050 6988 80 41080 2114 11 45067 12507 62 45034 1227 11 45103 29874 267 47025 21986 154 45044 49621 322 41030 7280 35 41092 3198 18 45065 5194 35 41033 1712 11 47060 6910 38 41006 4835 19 45122 12550 59 45042 28821 91 45056 28811 88 45036 36066 225 45064 2376 9 47040 5242 10 45153 2132 10 45152 9686 101 47022 2740 17 47001 10370 36 45162 2900 11 45005 31944 93 41035 9671 54 45106 12675 61 45176 8485 47 45311 7381 10 41043 2968 7 45327 7961 13 41040 7249 14 45066 23119 129 41097 6854 22 45054 1730 12 41095 4218 11 45120 3774 20 45342 31929 55 47032 3628 10 45107 9608 40 47012 10579 23 45130 4202 17 45118 4239 23 41086 1602 5 47018 4435 12 45458 26281 75 45449 19237 15 45068 11293 28 47041 5544 18 45113 4118 16 45154 8093 41 45320 15282 8 45459 26744 39 47031 5179 12 41004 4311 9 41003 2397 5 41010 3321 5 41002 2104 6 45429 25537 39 45305 11159 16 45409 13554 9 45419 15782 33 45121 8919 26 45440 19463 25 45420 24393 20 45410 17025 7 45430 7137 7 45403 16794 8 45142 4973 10 USE CRITICAL VALUE APPROACH TO ANSWER QUESTION Case Problem: Buckeye Creek Amusement Park Buckeye Creek Amusement Park is open from the beginning of May to the end of October. Buckeye Creek relies heavily on the sale of season passes. The sale of season passes brings in significant revenue prior to the park opening each season, and season pass holders contribute a substantial portion of the food, beverage, and novelty sales in the park. Greg Ross, director of marketing at Buckeye Creek, has been asked to develop a targeted marketing campaign to increase season pass sales. Greg has data for last season that show the number of season pass holders for each zip code within 50 miles of Buckeye Creek. He has also obtained the total population of each zip code from the U.S. Census Bureau website. Greg thinks it may be possible to use regression analysis to predict the number of season pass holders in a zip code given the total population of a zip code. If this is possible, he could then conduct a direct mail campaign that would target zip codes that have fewer than the expected number of season pass holders. The data is contained in the Chapter 14 DATAfile BuckeyeCreek. Prepare a managerial report for Greg. Be sure to include the following in your report. Descriptive statistics for the data. Discuss your findings. Using simple linear regression, develop an estimated regression equation that could be used to predict the number of season pass holders in a zip code given the total population of the zip code. Provide a detailed and reasonable interpretation of the estimated coefficients. Test for a significant relationship at the 0.05 level of significance. Did the estimated regression equation provide a good fit? Explain. Discuss if/how the estimated regression equation should be used to guide the marketing campaign. What other data might be useful to predict the number of season pass holders in a zip code?

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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ZIP Code	Population	Season Pass Holders
45220	14171	224
45219	17576	42
45225	13437	15
45217	5731	78
45214	9952	19
45232	6913	28
45223	13349	83
45229	15713	75
45206	11353	69
45202	15105	83
45203	3411	9
45207	8233	8
41074	5566	36
41073	6193	63
45224	21043	207
41071	21596	133
45205	21683	102
45204	6642	36
41016	5603	42
45216	9028	55
45212	22356	207
41011	25849	193
41014	7913	41
45237	21137	86
45208	18236	424
45211	33968	342
45239	26485	269
41075	15868	236
45209	8941	111
45226	5029	84
45238	42737	564
45231	39939	361
45213	11683	153
45215	28915	308
45218	3917	54
41017	40218	493
41076	14779	176
45251	22887	205
45227	18431	215
45247	20372	357
41015	22298	189
45248	22880	380
45236	21823	310
45240	27033	142
45246	13522	100
45230	25763	423
45233	14175	244
45252	4799	58
41018	29001	244
45243	14755	303
45241	25623	299
45014	44178	307
45242	20015	377
45244	26316	448
41059	2266	22
41048	12597	214
41051	18730	323
45255	22552	307
45174	2072	52
41042	50429	440
45002	13298	184
45015	12504	47
45069	46264	561
45052	3770	52
45249	13432	154
41001	16982	164
41005	20892	209
45011	62303	496
45245	17701	189
41091	17372	226
45013	51730	286
45150	31179	316
41094	9748	106
45030	16386	192
45140	52874	657
41063	3662	19
45040	51183	549
45102	22009	217
45039	21398	278
41007	3215	26
45053	3441	25
45157	10312	72
45050	6988	80
41080	2114	11
45067	12507	62
45034	1227	11
45103	29874	267
47025	21986	154
45044	49621	322
41030	7280	35
41092	3198	18
45065	5194	35
41033	1712	11
47060	6910	38
41006	4835	19
45122	12550	59
45042	28821	91
45056	28811	88
45036	36066	225
45064	2376	9
47040	5242	10
45153	2132	10
45152	9686	101
47022	2740	17
47001	10370	36
45162	2900	11
45005	31944	93
41035	9671	54
45106	12675	61
45176	8485	47
45311	7381	10
41043	2968	7
45327	7961	13
41040	7249	14
45066	23119	129
41097	6854	22
45054	1730	12
41095	4218	11
45120	3774	20
45342	31929	55
47032	3628	10
45107	9608	40
47012	10579	23
45130	4202	17
45118	4239	23
41086	1602	5
47018	4435	12
45458	26281	75
45449	19237	15
45068	11293	28
47041	5544	18
45113	4118	16
45154	8093	41
45320	15282	8
45459	26744	39
47031	5179	12
41004	4311	9
41003	2397	5
41010	3321	5
41002	2104	6
45429	25537	39
45305	11159	16
45409	13554	9
45419	15782	33
45121	8919	26
45440	19463	25
45420	24393	20
45410	17025	7
45430	7137	7
45403	16794	8
45142	4973	10

USE CRITICAL VALUE APPROACH TO ANSWER QUESTION

Case Problem: Buckeye Creek Amusement Park

Buckeye Creek Amusement Park is open from the beginning of May to the end of October. Buckeye Creek relies heavily on the sale of season passes. The sale of season passes brings in significant revenue prior to the park opening each season, and season pass holders contribute a substantial portion of the food, beverage, and novelty sales in the park. Greg Ross, director of marketing at Buckeye Creek, has been asked to develop a targeted marketing campaign to increase season pass sales.

Greg has data for last season that show the number of season pass holders for each zip code within 50 miles of Buckeye Creek. He has also obtained the total population of each zip code from the U.S. Census Bureau website. Greg thinks it may be possible to use regression analysis to predict the number of season pass holders in a zip code given the total population of a zip code. If this is possible, he could then conduct a direct mail campaign that would target zip codes that have fewer than the expected number of season pass holders.

The data is contained in the Chapter 14 DATAfile BuckeyeCreek.

Prepare a managerial report for Greg. Be sure to include the following in your report.
1. Descriptive statistics for the data. Discuss your findings.
2. Using simple linear regression, develop an estimated regression equation that could be used to predict the number of season pass holders in a zip code given the total population of the zip code.
3. Provide a detailed and reasonable interpretation of the estimated coefficients.
4. Test for a significant relationship at the 0.05 level of significance.
5. Did the estimated regression equation provide a good fit? Explain.
6. Discuss if/how the estimated regression equation should be used to guide the marketing campaign.
7. What other data might be useful to predict the number of season pass holders in a zip code?

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