Create a multiple regression model with the total number of wins as the response variable, and average points scored, average relative skill, and average points differential as predictor variables. This regression model will help your coach predict how many games your team might win in a regular season based on metrics like the average score, average relative skill, and the average points differential between the team and their opponents. What is the Null Hypothesis (statistical notation and its description in words) Alternative Hypothesis (statistical notation and its description in words)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Create a multiple regression model with the total number of wins as the response variable, and average points scored, average relative skill, and average points differential as predictor variables. This regression model will help your coach predict how many games your team might win in a regular season based on metrics like the average score, average relative skill, and the average points differential between the team and their opponents.
What is the
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Null Hypothesis (statistical notation and its description in words)
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Alternative Hypothesis (statistical notation and its description in words)
![### OLS Regression Results
- **Dependent Variable:** total_wins
- **R-squared:** 0.876
- **Adjusted R-squared:** 0.876
- **Model:** Ordinary Least Squares (OLS)
- **Method:** Least Squares
- **F-statistic:** 1449.
- **Date:** Mon, 12 Oct 2020
- **Prob (F-statistic):** 5.03e-278
- **Time:** 15:13:29
- **Log-Likelihood:** -1819.8
- **No. Observations:** 618
- **AIC:** 3648.
- **Df Residuals:** 614
- **BIC:** 3665.
- **Df Model:** 3
- **Covariance Type:** nonrobust
#### Coefficients:
| Variable | Coefficient | Std. Error | t-value | 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 |
| avg_pts_differential | 1.7621 | 0.127 | 13.928 | 0.000 | 1.514 | 2.011 |
#### Statistics:
- **Omnibus:** 181.805
- **Prob(Omnibus):** 0.000
- **Jarque-Bera (JB):** 506.551
- **Prob(JB):** 1.01e-110
- **Skew:** -1.452
- **Kurtosis:** 6.352
- **Cond. No.:** 7.51e+04
### Warnings:
1. Standard Errors assume that the covariance matrix](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde359f2f-7d52-4a3f-a1b6-cbf0103f2e45%2Fba475967-4bb6-4f4c-9c20-e8ff699ccde7%2Fa75nzan_processed.png&w=3840&q=75)
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