Mathematics, 20.08.2021 05:30 mikurrjurdan
You created a multiple regression model with the total number of wins as the response variable, with average points scored, average relative skill, and average points differential as predictor variables.
See Step 6 in the Python script to answer the following questions:
In general, how is a multiple linear regression model used to predict the response variable using predictor variables?
What is the equation for your model?
What are the results of the overall F-test? Summarize all important steps of this hypothesis test. This includes:
Null Hypothesis (statistical notation and its description in words)
Alternative Hypothesis (statistical notation and its description in words)
Level of Significance
Report the test statistic and the P-value in a formatted table as shown below:
Table 3: Hypothesis Test for Overall F-Test
Statistic Value
Test Statistic X. XX
*Round off to 2 decimal places.
P-value X.
*Round off to 4 decimal places.
Conclusion of the hypothesis test and its interpretation based on the P-value
Based on the results of the overall F-test, is at least one of the predictors statistically significant in predicting the number of wins in the season?
What are the results of individual t-tests for the parameters of each predictor variable?
Is each of the predictor variables statistically significant based on its P-value? Use a 1% level of significance.
Report and interpret the coefficient of determination.
What is the predicted total number of wins in a regular season for a team that is averaging 75 points per game with a relative skill level of 1350 and average point differential of -5?
What is the predicted total number of wins in a regular season for a team that is averaging 100 points per game with a relative skill level of 1600 and average point differential of +5?
OLS Regression Results
Dep. Variable: total_wins R-squared: 0.876
Model: OLS Adj. R-squared: 0.876
Method: Least Squares F-statistic: 1449.
Date: Thu, 15 Oct 2020 Prob (F-statistic): 5.03e-278
Time: 00:22:22 Log-Likelihood: -1819.8
No. Observations: 618 AIC: 3648.
Df Residuals: 614 BIC: 3665.
Df Model: 3
Covariance Type: nonrobust
coef std err t P>|t| [0.025 0.975]
Intercept -35.8921 9.252 -3.879 0.000 -54.062 -17.723
avg_pts 0.2406 0.043 5.657 0.000 0.157 0.324
avg_elo_n 0.0348 0.005 6.421 0.000 0.024 0.045 <---this is relative skill
avg_pts_differential 1.7621 0.127 13.928 0.000 1.514 2.011
Omnibus: 181.805 Durbin-Watson: 0.975
Prob(Omnibus): 0.000 Jarque-Bera (JB): 506.551
Skew: -1.452 Prob(JB): 1.01e-110
Kurtosis: 6.352 Cond. No. 7.51e+04
Answers: 3
Mathematics, 21.06.2019 16:10
Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.
Answers: 3
Mathematics, 21.06.2019 19:30
Factor the expression using the gcf. the expression 21m−49n factored using the gcf
Answers: 2
Mathematics, 21.06.2019 20:00
Anature center offer 2 guided walks. the morning walk is 2/3 miles. the evening walk is 3/6 mile. which is shorter
Answers: 1
You created a multiple regression model with the total number of wins as the response variable, with...
History, 21.01.2021 19:20
Biology, 21.01.2021 19:20
Social Studies, 21.01.2021 19:20
Spanish, 21.01.2021 19:20
Health, 21.01.2021 19:20
Mathematics, 21.01.2021 19:20
Computers and Technology, 21.01.2021 19:20
Mathematics, 21.01.2021 19:20
Mathematics, 21.01.2021 19:20
Mathematics, 21.01.2021 19:20