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? •What is the predicted total number of wins in a regular season for a team that is averaging 100 points per game with an average relative skill level of 1600?
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? •What is the predicted total number of wins in a regular season for a team that is averaging 100 points per game with an average relative skill level of 1600?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
• 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?
•What is the predicted total number of wins in a regular season for a team that is averaging 100 points per game with an average relative skill level of 1600?
![**OLS Regression Results**
- **Dependent Variable:** total_wins
- **Model:** OLS (Ordinary Least Squares)
- **Method:** Least Squares
- **Date:** Fri, 13 Oct 2023
- **Time:** 09:43:01
- **Number of Observations:** 618
- **Degrees of Freedom (Residuals):** 615
- **Degrees of Freedom (Model):** 2
- **Covariance Type:** nonrobust
**Summary Statistics:**
- **R-squared:** 0.837
- **Adjusted R-squared:** 0.837
- **F-statistic:** 1580
- **Prob (F-statistic):** 4.41e-243
- **Log-Likelihood:** -1904.6
- **AIC (Akaike Information Criterion):** 3815
- **BIC (Bayesian Information Criterion):** 3829
**Coefficients:**
1. **Intercept:**
- Coefficient: -152.5736
- Standard Error: 4.500
- t-value: -33.903
- P>|t|: 0.000
- 95% Confidence Interval: [-161.411, -143.736]
2. **avg_elo_n:**
- Coefficient: 0.1055
- Standard Error: 0.002
- t-value: 47.952
- P>|t|: 0.000
- 95% Confidence Interval: [0.101, 0.110]
3. **avg_pts:**
- Coefficient: 0.3497
- Standard Error: 0.048
- t-value: 7.297
- P>|t|: 0.000
- 95% Confidence Interval: [0.256, 0.444]
**Diagnostics:**
- **Omnibus:** 89.087
- **Prob(Omnibus):** 0.000
- **Skew:** -0.869
- **Kurtosis:** 4.793
- **Durbin-Watson:** 1.203
- **Jarque-Bera (JB):** 160.540
- **Prob(JB):** 1.38e-35](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d62d096-051c-4718-a327-e350c164712e%2Fd4495af9-ec12-43ce-a2f1-96eb366cba0b%2Fltp09pj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**OLS Regression Results**
- **Dependent Variable:** total_wins
- **Model:** OLS (Ordinary Least Squares)
- **Method:** Least Squares
- **Date:** Fri, 13 Oct 2023
- **Time:** 09:43:01
- **Number of Observations:** 618
- **Degrees of Freedom (Residuals):** 615
- **Degrees of Freedom (Model):** 2
- **Covariance Type:** nonrobust
**Summary Statistics:**
- **R-squared:** 0.837
- **Adjusted R-squared:** 0.837
- **F-statistic:** 1580
- **Prob (F-statistic):** 4.41e-243
- **Log-Likelihood:** -1904.6
- **AIC (Akaike Information Criterion):** 3815
- **BIC (Bayesian Information Criterion):** 3829
**Coefficients:**
1. **Intercept:**
- Coefficient: -152.5736
- Standard Error: 4.500
- t-value: -33.903
- P>|t|: 0.000
- 95% Confidence Interval: [-161.411, -143.736]
2. **avg_elo_n:**
- Coefficient: 0.1055
- Standard Error: 0.002
- t-value: 47.952
- P>|t|: 0.000
- 95% Confidence Interval: [0.101, 0.110]
3. **avg_pts:**
- Coefficient: 0.3497
- Standard Error: 0.048
- t-value: 7.297
- P>|t|: 0.000
- 95% Confidence Interval: [0.256, 0.444]
**Diagnostics:**
- **Omnibus:** 89.087
- **Prob(Omnibus):** 0.000
- **Skew:** -0.869
- **Kurtosis:** 4.793
- **Durbin-Watson:** 1.203
- **Jarque-Bera (JB):** 160.540
- **Prob(JB):** 1.38e-35
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