Dep. Variable: Model: Method: Date: Time: No. Observations: Df Residuals: Df Model: OLS Regression Results total_wins R-squared: OLS Least Squares Fri, 13 Oct 2023 09:43:01 618 615 2 Adj. R-squared: Prob (F-statistic): F-statistic: Log-Likelihood: AIC: BIC: 0.837 0.837 1580. 4.41e-243 -1904.6 3815. 3829.
Dep. Variable: Model: Method: Date: Time: No. Observations: Df Residuals: Df Model: OLS Regression Results total_wins R-squared: OLS Least Squares Fri, 13 Oct 2023 09:43:01 618 615 2 Adj. R-squared: Prob (F-statistic): F-statistic: Log-Likelihood: AIC: BIC: 0.837 0.837 1580. 4.41e-243 -1904.6 3815. 3829.
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
a) What is the equation for this model?
b) What are the null hypothesis, alternative hypothesis, and the level of significance?
c) What is the test statistic and the p-value?
![Certainly! Below is the transcription of the OLS Regression Results as it might appear on an educational website, with detailed explanations of the components:
---
### OLS Regression Results
**Dependent Variable:**
- **total_wins**
**Model Information:**
- **Model:** OLS (Ordinary Least Squares)
- **Method:** Least Squares
- **Date:** Fri, 13 Oct 2023
- **Time:** 09:43:01
**Observations and Degrees of Freedom:**
- **Number of Observations:** 618
- **Degrees of Freedom Residuals:** 615
- **Degrees of Freedom Model:** 2
**Covariance Type:**
- nonrobust
**Summary of Results:**
| | coef | std err | t | P>|t| | [0.025 | 0.975] |
|----------------|----------|---------|---------|--------|------------|----------|
| Intercept | -152.5736 | 4.500 | -33.993 | 0.000 | -161.411 | -143.736 |
| avg_elo_n | 0.1055 | 0.002 | 47.952 | 0.000 | 0.101 | 0.110 |
| avg_pts | 0.3497 | 0.048 | 7.297 | 0.000 | 0.256 | 0.444 |
**Statistical Measures:**
- **R-squared:** 0.837
Indicates that 83.7% of the variance in the dependent variable can be explained by the model.
- **Adjusted R-squared:** 0.837
This value adjusts the R-squared for the number of predictors in the model.
- **F-statistic:** 1580.
This tests the overall significance of the model.
- **Prob (F-statistic):** 4.41e-243
The probability that the observed F-statistic would occur by chance. A very low value indicates a significant model.
- **Log-Likelihood:** -1904.6
A measure of model fit; higher values indicate a better fit.
- **AIC (Akaike Information Criterion):** 3815.
Used for model selection](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d62d096-051c-4718-a327-e350c164712e%2F75accf78-9d82-453b-a0f0-4847cd004af0%2F0yntd2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Below is the transcription of the OLS Regression Results as it might appear on an educational website, with detailed explanations of the components:
---
### OLS Regression Results
**Dependent Variable:**
- **total_wins**
**Model Information:**
- **Model:** OLS (Ordinary Least Squares)
- **Method:** Least Squares
- **Date:** Fri, 13 Oct 2023
- **Time:** 09:43:01
**Observations and Degrees of Freedom:**
- **Number of Observations:** 618
- **Degrees of Freedom Residuals:** 615
- **Degrees of Freedom Model:** 2
**Covariance Type:**
- nonrobust
**Summary of Results:**
| | coef | std err | t | P>|t| | [0.025 | 0.975] |
|----------------|----------|---------|---------|--------|------------|----------|
| Intercept | -152.5736 | 4.500 | -33.993 | 0.000 | -161.411 | -143.736 |
| avg_elo_n | 0.1055 | 0.002 | 47.952 | 0.000 | 0.101 | 0.110 |
| avg_pts | 0.3497 | 0.048 | 7.297 | 0.000 | 0.256 | 0.444 |
**Statistical Measures:**
- **R-squared:** 0.837
Indicates that 83.7% of the variance in the dependent variable can be explained by the model.
- **Adjusted R-squared:** 0.837
This value adjusts the R-squared for the number of predictors in the model.
- **F-statistic:** 1580.
This tests the overall significance of the model.
- **Prob (F-statistic):** 4.41e-243
The probability that the observed F-statistic would occur by chance. A very low value indicates a significant model.
- **Log-Likelihood:** -1904.6
A measure of model fit; higher values indicate a better fit.
- **AIC (Akaike Information Criterion):** 3815.
Used for model selection
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