PART 1 -
For 1,022 NFL field goal attempts the file FGdata.xlsx contains the distance of the field goal and whether the field goal was good. How does the length of the field goal attempt affect the chance to make the field goal? Estimate the chance of making a 30, 40, or 50 yard field goal.
length | Good |
20 | 1 |
34 | 1 |
45 | 1 |
43 | 0 |
38 | 1 |
42 | 0 |
21 | 1 |
48 | 1 |
48 | 1 |
48 | 0 |
20 | 1 |
42 | 1 |
22 | 0 |
34 | 0 |
36 | 1 |
43 | 1 |
22 | 1 |
46 | 1 |
49 | 0 |
28 | 1 |
33 | 1 |
22 | 1 |
55 | 0 |
22 | 1 |
33 | 0 |
20 | 1 |
44 | 1 |
40 | 1 |
44 | 1 |
41 | 0 |
34 | 0 |
39 | 1 |
23 | 1 |
38 | 1 |
19 | 1 |
21 | 1 |
48 | 1 |
33 | 1 |
26 | 1 |
33 | 1 |
23 | 1 |
32 | 1 |
41 | 0 |
36 | 1 |
37 | 0 |
22 | 1 |
We will use the MINITAB software to calculate the model and the predicted probabilities for the given lengths,
The MINITAB output is
so the equation is
logit(goal)=4.00763-0.091472*length
so at length
length | probabilities |
30 | 0.826851 |
40 | 0.678907 |
50 | 0.483514 |
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