Question
Team PCT FG% Opp 3 Pt% Opp TO Atlanta 0.265 0.435 0.346 13.206 Boston 0.471 0.449 0.369 16.176 Chicago 0.313 0.417 0.372 15.031 Cleveland 0.303
Team | PCT | FG% | Opp 3 Pt% | Opp TO |
Atlanta | 0.265 | 0.435 | 0.346 | 13.206 |
Boston | 0.471 | 0.449 | 0.369 | 16.176 |
Chicago | 0.313 | 0.417 | 0.372 | 15.031 |
Cleveland | 0.303 | 0.438 | 0.345 | 12.515 |
Dallas | 0.581 | 0.439 | 0.332 | 15 |
Denver | 0.606 | 0.431 | 0.366 | 17.818 |
Detroit | 0.606 | 0.423 | 0.262 | 15.788 |
Golden State | 0.452 | 0.445 | 0.384 | 14.29 |
Houston | 0.548 | 0.426 | 0.324 | 13.161 |
Indiana | 0.706 | 0.428 | 0.317 | 15.647 |
L.A. Clippers | 0.464 | 0.424 | 0.326 | 14.357 |
L.A. Lakers | 0.724 | 0.465 | 0.323 | 16 |
Memphis | 0.485 | 0.432 | 0.358 | 17.848 |
Miami | 0.424 | 0.41 | 0.369 | 14.97 |
Milwaukee | 0.5 | 0.438 | 0.349 | 14.75 |
Minnesota | 0.677 | 0.473 | 0.348 | 13.839 |
New Jersey | 0.563 | 0.435 | 0.338 | 17.063 |
New Orleans | 0.636 | 0.421 | 0.33 | 16.909 |
New York | 0.412 | 0.442 | 0.33 | 13.588 |
Orlando | 0.242 | 0.417 | 0.36 | 14.242 |
Philadelphia | 0.438 | 0.428 | 0.364 | 16.938 |
Phoenix | 0.364 | 0.438 | 0.326 | 16.515 |
Portland | 0.484 | 0.447 | 0.367 | 12.548 |
Sacramento | 0.724 | 0.466 | 0.327 | 15.207 |
San Antonio | 0.688 | 0.429 | 0.293 | 15.344 |
Seattle | 0.533 | 0.436 | 0.35 | 16.767 |
Toronto | 0.516 | 0.424 | 0.314 | 14.129 |
Utah | 0.531 | 0.456 | 0.368 | 15.469 |
Washington | 0.3 | 0.411 | 0.341 | 16.133 |
1. Regress the proportion of games won on the proportion of field goals made by the team (FG%), the proportions of three-point shots made the teams opponent *(Opp 3 PT%). And the number of turnovers committed by the teams opponent (Opp TO). Explain each of the coefficients and comment on the statistical significance for each coefficient at 5% level of significance. Use the F-test to determine the overall significance the relationship. Use the t-test to determine the significance of each independent variable.
2. Estimate the proportion of games won for team with the following values for the three Independent variables. the proportion of field goals made by the team (FG%)= 0.45, the proportions of three-point shots made the teams opponent *(Opp 3 PT%)= 0.34 and the number of turnovers committed by the teams opponent (Opp TO)= 17.
3. Check Gauss Markov Assumptions.
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