DSCI 3023 Linear Regression Example

Table 1.1

TEAM
W
ROFF
POFF
SOFF
TDEF
SDEF
1
8
314.5
90.3
35.6
360.67
23.6
2
4
157.5
246.8
27.1
394.5
31.6
3
9
207.7
198.3
28.8
248.75
15.3
4
4
42.2
291.6
18.8
379.36
25.1
5
7
88.6
305.5
32.6
360.08
29.4
6
8
243.2
134.2
30.2
336.82
18
7
6
182.2
143.9
19.9
343.46
27.8
8
1
126.6
178.5
19.5
382.45
39.4
9
8
204
192.7
31.3
333.17
18.5
10
6
168.2
178.8
24
392
26.8
11
3
103.4
231.5
16.8
405.25
41.3
12
11
212.8
304
46.6
346.25
18.7
13
7
146
227.8
27
339.91
19.5
14
9
232.5
235.3
42.4
352.18
23.8
15
5
116.8
263.9
21.5
378.27
27.4
16
1
98.3
177.8
17.8
434.42
34.7
17
7
107.8
247.8
35.6
392.83
26.5
18
4
206.1
166.2
22.3
404.42
32
19
5
144.5
259.9
28.8
308.09
23.3
20
7
127.3
236.5
26.3
338.75
24.5
21
8
250.6
156.2
30.5
366.27
22.9
22
10
213.3
191
31.8
359.5
23.3
23
6
136.6
222.6
31.1
316.08
22.5
24
2
158.4
199.9
18.9
375.17
29.4
25
4
123.6
221.7
30.2
445.2
33.3
26
3
113
246
23.8
519.92
47.2
27
8
136.8
263
26.5
307.64
18.5
28
8
190
217.8
32
371.83
21.8
29
7
117.3
239.4
25.3
414.42
28.8
30
10
131.7
248.3
31.2
323.18
17.2
31
7
175.1
209.5
22.9
336.18
16.9
32
9
113.5
395
38.5
327.2
25.7
33
4
172
219
26.6
412.91
34.8
34
2
115
289.6
23.8
464.58
35.7
35
5
164.9
281.4
28.8
420.5
25.6
36
3
116.5
251.7
21.5
428.42
37.1
37
11
222.1
210.8
38.9
339.08
18.2
38
7
145
244.5
29.8
362.08
27.8
39
2
126.3
190.5
20.7
472.42
42.3
40
10
267.8
154.3
45.7
245.58
10.6

Using the data provided in Table 1.1 to create a multiple linear regression model to forecast football wins. Define your independent variables and your dependent variable. Construct a general model from the dependent and independent variables. Discuss and interpret the relevant statistics associated with your model, show the final linear regression equation, and illustrate its use.