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.
1. Compute descriptive statistics and construct a scatter
diagram 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. Test for a significant relationship at the .05 level of
significance.
4. Did the estimated regression equation provide a good fit?
5. Use residual analysis to determine whether the assumed
regression model is appropriate.
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?
Here are the data needed to solve this problem.
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