Question
The provost at SWC, based on anecdotal evidence, is convinced that the student-faculty ratio (# of students divided by the number of faculty) is an
The provost at SWC, based on anecdotal evidence, is convinced that the student-faculty ratio (# of students divided by the number of faculty) is an important determinant of student success after graduation. The university president believes the overall prestige of the university is a bigger factor, and other administrators believe it is largely the academic quality of the students admitted that matters most. SWC has purchased some data that shows students’ starting salaries along with various characteristics of the universities the students attended. SWC wants to know if you can determine how the student starting salaries are related to the following variables in the data set: the per-semester cost of attendance, the region of the country in which the school is located, the student-faculty ratio, average high school GPA of students admitted, the size of the school’s library, and the school’s national rank. Specifically, the administrators want answers to the following questions
• What is the appropriate quantitative technique to determine how the variables are related?
• Which variables are important determinants of starting salaries? Be sure to explain how you are arriving at this conclusion.
• What strategy would you recommend for improving the starting salaries of SWC graduates? In addition to the questions above, SWC has requested a data visualization component in the report. You are to use multiple diagrams and appropriately formatted charts following the principles you learned in this course to help illustrate key findings. The data SWC has purchased can be found in Tab 1 of Excel file “Case 2 Data” located in the D2L course shell.
OBS | SALARY | REGION | COST | TOTSTUD | FACULTY | HSGPA | LIBVOL | RANK |
1 | 34928 | North | 4214 | 2310 | 50 | 3.15 | 216 | 128 |
2 | 63122 | South | 7012 | 2090 | 48 | 3.50 | 256 | 104 |
3 | 80366 | East | 6398 | 2970 | 86 | 3.25 | 424 | 34 |
4 | 72859 | East | 7611 | 3047 | 150 | 3.20 | 329 | 49 |
5 | 67178 | West | 7100 | 1650 | 62 | 3.38 | 332 | 95 |
6 | 55443 | West | 6197 | 1716 | 44 | 3.40 | 311 | 98 |
7 | 55442 | South | 6776 | 1661 | 44 | 3.16 | 220 | 124 |
8 | 41289 | South | 4926 | 1639 | 50 | 3.12 | 230 | 157 |
9 | 43117 | East | 6318 | 3542 | 111 | 3.12 | 230 | 145 |
10 | 66851 | South | 6481 | 770 | 48 | 3.66 | 157 | 91 |
11 | 77222 | East | 6708 | 2959 | 86 | 3.55 | 320 | 50 |
12 | 88474 | East | 8036 | 4191 | 141 | 3.42 | 470 | 23 |
13 | 64935 | West | 6415 | 1683 | 53 | 3.60 | 330 | 78 |
14 | 104264 | West | 8373 | 2959 | 88 | 3.70 | 600 | 5 |
15 | 84342 | West | 7059 | 1760 | 42 | 3.45 | 371 | 27 |
16 | 97301 | West | 8568 | 4609 | 125 | 3.55 | 542 | 19 |
17 | 94940 | West | 7260 | 3850 | 106 | 3.57 | 470 | 13 |
18 | 49717 | West | 6553 | 4125 | 88 | 3.20 | 208 | 115 |
19 | 43045 | East | 7250 | 1309 | 39 | 3.20 | 147 | 171 |
20 | 39206 | North | 5388 | 2882 | 34 | 3.25 | 215 | 131 |
21 | 66120 | East | 6146 | 2805 | 79 | 3.30 | 352 | 72 |
22 | 65531 | North | 6602 | 2420 | 92 | 3.30 | 305 | 55 |
23 | 97623 | North | 7347 | 1958 | 44 | 3.75 | 555 | 4 |
24 | 67282 | North | 7197 | 1474 | 56 | 3.37 | 339 | 90 |
25 | 41472 | North | 4710 | 3300 | 79 | 3.35 | 290 | 133 |
26 | 73215 | West | 7520 | 1837 | 68 | 3.31 | 280 | 65 |
27 | 102628 | East | 8632 | 3795 | 111 | 3.60 | 735 | 7 |
28 | 66879 | East | 6918 | 1463 | 105 | 3.29 | 383 | 84 |
29 | 87574 | East | 7308 | 2101 | 62 | 3.55 | 400 | 10 |
30 | 59964 | West | 7555 | 2068 | 56 | 3.20 | 198 | 112 |
31 | 45031 | South | 6034 | 2585 | 64 | 3.10 | 210 | 137 |
32 | 42637 | North | 5596 | 2035 | 30 | 3.20 | 208 | 141 |
33 | 71551 | West | 6536 | 3751 | 91 | 3.20 | 275 | 47 |
34 | 73524 | North | 8244 | 4103 | 120 | 3.27 | 312 | 82 |
35 | 39055 | North | 6804 | 1606 | 66 | 3.00 | 200 | 144 |
36 | 62583 | North | 6405 | 1705 | 31 | 3.30 | 190 | 76 |
37 | 67058 | East | 8402 | 1947 | 67 | 3.40 | 325 | 94 |
38 | 58867 | West | 5889 | 2574 | 72 | 3.23 | 240 | 88 |
39 | 91795 | East | 6817 | 1056 | 90 | 3.70 | 450 | 9 |
40 | 62536 | East | 8327 | 2200 | 64 | 3.30 | 192 | 89 |
41 | 76822 | South | 7185 | 2596 | 86 | 3.40 | 260 | 43 |
42 | 78177 | South | 5715 | 2200 | 75 | 3.53 | 530 | 59 |
43 | 63693 | South | 5899 | 2244 | 64 | 3.30 | 346 | 81 |
44 | 90325 | East | 8034 | 6017 | 206 | 3.30 | 410 | 22 |
45 | 46043 | East | 7061 | 1474 | 56 | 3.00 | 186 | 142 |
46 | 44575 | East | 6014 | 2761 | 55 | 3.27 | 260 | 127 |
47 | 88795 | East | 8747 | 5225 | 216 | 3.51 | 403 | 31 |
48 | 94507 | East | 7295 | 7073 | 270 | 3.52 | 728 | 18 |
49 | 88061 | South | 8428 | 2651 | 57 | 3.40 | 456 | 46 |
50 | 27073 | South | 5867 | 2145 | 45 | 3.12 | 221 | 175 |
51 | 56755 | West | 6030 | 2607 | 120 | 3.14 | 200 | 79 |
52 | 60228 | West | 5803 | 2134 | 47 | 3.16 | 197 | 74 |
53 | 134187 | East | 5919 | 6083 | 124 | 3.75 | 1745 | 1 |
54 | 53598 | West | 7008 | 836 | 40 | 3.42 | 231 | 139 |
55 | 78557 | East | 6804 | 3124 | 74 | 3.25 | 395 | 28 |
56 | 82714 | South | 8368 | 3410 | 124 | 3.30 | 400 | 48 |
57 | 46989 | East | 7215 | 1771 | 46 | 2.85 | 240 | 116 |
58 | 30342 | West | 5075 | 1056 | 24 | 3.25 | 146 | 132 |
59 | 79879 | North | 6301 | 2255 | 72 | 3.40 | 593 | 38 |
60 | 91453 | North | 7556 | 2299 | 59 | 3.49 | 510 | 30 |
61 | 54181 | North | 5369 | 2904 | 69 | 3.30 | 410 | 109 |
62 | 25103 | South | 4387 | 1936 | 42 | 3.15 | 161 | 172 |
63 | 95437 | West | 7665 | 2563 | 59 | 3.49 | 727 | 17 |
64 | 50703 | North | 5228 | 2860 | 207 | 3.20 | 280 | 113 |
65 | 68746 | West | 6686 | 3322 | 43 | 3.43 | 325 | 62 |
66 | 59030 | South | 5354 | 1485 | 53 | 3.30 | 329 | 92 |
67 | 63111 | West | 9011 | 2706 | 110 | 3.20 | 325 | 123 |
68 | 78538 | South | 6586 | 3124 | 52 | 3.35 | 540 | 83 |
69 | 70482 | South | 7652 | 1562 | 43 | 3.20 | 236 | 93 |
70 | 66394 | North | 6756 | 2706 | 169 | 3.24 | 285 | 73 |
71 | 85992 | West | 9038 | 2046 | 106 | 3.35 | 341 | 36 |
72 | 40261 | South | 6137 | 2475 | 67 | 3.10 | 230 | 155 |
73 | 44082 | East | 6455 | 1045 | 25 | 3.30 | 280 | 150 |
74 | 69731 | North | 7309 | 1859 | 56 | 3.20 | 220 | 40 |
75 | 65291 | East | 5012 | 2871 | 113 | 3.35 | 325 | 57 |
76 | 67612 | West | 5616 | 4807 | 97 | 3.24 | 285 | 37 |
77 | 43891 | South | 5138 | 1826 | 45 | 3.20 | 246 | 140 |
78 | 55606 | South | 5765 | 1705 | 54 | 3.10 | 252 | 105 |
79 | 64171 | South | 6722 | 5302 | 152 | 3.20 | 392 | 107 |
80 | 105609 | North | 6952 | 4191 | 107 | 3.67 | 750 | 2 |
81 | 98003 | North | 7080 | 2970 | 141 | 3.56 | 800 | 20 |
82 | 71979 | South | 7801 | 1870 | 35 | 3.30 | 260 | 54 |
83 | 57516 | South | 6833 | 1661 | 39 | 3.00 | 220 | 85 |
84 | 67866 | West | 8605 | 1749 | 63 | 3.28 | 245 | 96 |
85 | 37778 | North | 5283 | 847 | 30 | 3.20 | 124 | 122 |
86 | 54679 | West | 6354 | 1782 | 62 | 3.40 | 304 | 97 |
87 | 49542 | East | 7100 | 4422 | 113 | 3.07 | 242 | 114 |
88 | 50577 | South | 6588 | 1199 | 53 | 3.20 | 350 | 125 |
89 | 63377 | East | 6888 | 4917 | 165 | 3.00 | 377 | 86 |
90 | 106459 | East | 8243 | 4730 | 116 | 3.25 | 888 | 11 |
91 | 33634 | North | 4053 | 2200 | 95 | 3.22 | 250 | 163 |
92 | 51727 | East | 7048 | 2299 | 61 | 3.23 | 165 | 110 |
93 | 28609 | North | 5571 | 1298 | 39 | 3.00 | 200 | 160 |
94 | 31371 | South | 4362 | 1892 | 52 | 3.31 | 234 | 167 |
95 | 98041 | North | 8295 | 2233 | 122 | 3.60 | 557 | 14 |
96 | 86215 | North | 8598 | 1925 | 66 | 3.45 | 340 | 35 |
97 | 42651 | North | 5916 | 1529 | 45 | 3.00 | 225 | 136 |
98 | 87986 | North | 6495 | 2475 | 63 | 3.50 | 590 | 33 |
99 | 59239 | South | 5120 | 2343 | 44 | 3.28 | 262 | 80 |
100 | 45213 | South | 6666 | 2607 | 53 | 3.03 | 216 | 134 |
101 | 69686 | West | 5786 | 1639 | 44 | 3.50 | 291 | 53 |
102 | 36494 | East | 6329 | 2552 | 86 | 3.30 | 280 | 162 |
103 | 103969 | East | 10133 | 2618 | 102 | 3.70 | 540 | 8 |
104 | 34924 | South | 6093 | 1639 | 62 | 3.38 | 211 | 165 |
105 | 48317 | West | 6300 | 3355 | 72 | 3.30 | 301 | 129 |
106 | 56172 | South | 9877 | 1793 | 96 | 3.23 | 216 | 148 |
107 | 74613 | East | 9769 | 2442 | 41 | 3.22 | 450 | 64 |
108 | 72362 | East | 8976 | 2662 | 39 | 3.39 | 393 | 60 |
109 | 66443 | East | 8832 | 3355 | 69 | 3.20 | 409 | 70 |
110 | 82362 | South | 10959 | 2849 | 65 | 3.30 | 400 | 68 |
111 | 41392 | South | 7391 | 2959 | 76 | 3.00 | 268 | 151 |
112 | 76513 | West | 9702 | 3707 | 125 | 3.25 | 320 | 52 |
113 | 68263 | West | 8184 | 2651 | 100 | 3.17 | 245 | 56 |
114 | 65504 | West | 8046 | 3146 | 58 | 3.32 | 210 | 61 |
115 | 73102 | East | 11028 | 4994 | 163 | 3.16 | 316 | 87 |
116 | 55004 | East | 8495 | 2640 | 76 | 3.20 | 326 | 118 |
117 | 36960 | West | 8783 | 847 | 20 | 3.24 | 156 | 153 |
118 | 33512 | South | 8387 | 5104 | 98 | 3.00 | 290 | 168 |
119 | 83379 | West | 8594 | 2200 | 53 | 3.50 | 330 | 26 |
120 | 54208 | North | 7988 | 1397 | 36 | 3.30 | 302 | 106 |
121 | 72854 | South | 7776 | 2816 | 45 | 3.18 | 440 | 42 |
122 | 72459 | West | 9601 | 4510 | 86 | 3.15 | 340 | 75 |
123 | 100956 | West | 11500 | 1980 | 57 | 3.78 | 414 | 6 |
124 | 46474 | South | 8317 | 2387 | 91 | 3.20 | 316 | 146 |
125 | 59087 | East | 8854 | 5720 | 143 | 3.30 | 300 | 108 |
126 | 70013 | East | 8864 | 3245 | 83 | 3.20 | 319 | 51 |
127 | 87150 | East | 11536 | 4356 | 209 | 3.30 | 439 | 45 |
128 | 55178 | South | 8599 | 1859 | 205 | 3.10 | 345 | 117 |
129 | 109536 | South | 10415 | 5753 | 155 | 3.50 | 850 | 12 |
130 | 37256 | South | 7499 | 2530 | 50 | 2.73 | 300 | 170 |
131 | 59986 | South | 9633 | 2552 | 64 | 3.10 | 260 | 101 |
132 | 45851 | North | 7558 | 3135 | 56 | 3.01 | 305 | 121 |
133 | 33967 | North | 7329 | 2552 | 64 | 3.10 | 260 | 154 |
134 | 33680 | East | 8320 | 3146 | 72 | 2.80 | 310 | 174 |
135 | 59216 | South | 8548 | 2376 | 62 | 3.00 | 260 | 100 |
136 | 83480 | West | 9953 | 1364 | 61 | 3.55 | 264 | 29 |
137 | 61585 | North | 7750 | 1925 | 46 | 3.30 | 215 | 69 |
138 | 89964 | South | 8637 | 2057 | 83 | 3.62 | 329 | 16 |
139 | 40265 | East | 8147 | 1793 | 58 | 3.20 | 175 | 152 |
140 | 72225 | East | 9274 | 2508 | 81 | 3.41 | 420 | 63 |
141 | 101428 | East | 9439 | 4180 | 118 | 3.60 | 700 | 15 |
142 | 62782 | East | 11361 | 1815 | 74 | 3.31 | 250 | 111 |
143 | 55518 | West | 8737 | 1628 | 65 | 3.27 | 251 | 102 |
144 | 98675 | West | 11866 | 1628 | 76 | 3.63 | 450 | 25 |
145 | 85578 | East | 10237 | 1375 | 53 | 3.47 | 297 | 16 |
146 | 75468 | West | 7832 | 2310 | 95 | 3.20 | 476 | 41 |
147 | 69287 | North | 8361 | 2574 | 73 | 3.35 | 415 | 67 |
148 | 50272 | East | 9361 | 2761 | 65 | 3.08 | 301 | 135 |
149 | 30568 | West | 6643 | 2717 | 44 | 3.00 | 230 | 156 |
150 | 53511 | East | 9232 | 7469 | 227 | 3.10 | 481 | 138 |
151 | 64028 | East | 7742 | 2002 | 43 | 3.20 | 244 | 66 |
152 | 98075 | East | 12431 | 1958 | 55 | 3.34 | 300 | 17 |
153 | 79174 | North | 6943 | 3135 | 52 | 3.40 | 450 | 21 |
154 | 36855 | West | 6619 | 869 | 19 | 3.40 | 174 | 143 |
155 | 102569 | East | 8462 | 1111 | 110 | 3.82 | 850 | 3 |
156 | 36130 | North | 4935 | 3597 | 39 | 3.15 | 200 | 120 |
Step by Step Solution
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Ans1 A linear regression analysis of the form Y BX U where Y is the vector of Starting Salary X is the matrix of Covariates X1 X2 X3 X4 and X5 and 3 d...Get Instant Access to Expert-Tailored Solutions
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