Calculate the test statistic (t-statistic) for the hypothesis that B3 = 0.

MATLAB: An Introduction with Applications
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**Using Stata for Regression Analysis in Economics**

This guide explores using Stata for regression analysis, focusing on data from undergraduate economics students. The main regression equation is:

\[ \text{final} = \beta_0 + \beta_1 \text{atndrte} + \beta_2 \text{hwrte} + \beta_3 \text{priGPA} + \beta_4 \text{ACT} \]

**Variables:**

- **final**: Final exam score (Mean = 25.88872)
- **atndrte**: Percent of classes attended (Mean = 82.12166)
- **hwrte**: Percent of homework turned in (Mean = 87.90801)
- **priGPA**: Cumulative GPA prior to the term (Mean = 2.59182)
- **ACT**: ACT score (Mean = 22.47774)

**Stata Output Summary:**

- **Observations**: 674
- **Degrees of Freedom**: Model (4), Residual (669), Total (673)
- **Sum of Squares (SS) and Mean Square (MS)**:
  - Model SS: 3904.70776, MS: 773.676939
  - Residual SS: 11299.9465, MS: 17.832506
  - Total SS: 15024.6543, MS: 22.324895

**Regression Coefficients:**

- **atndrte**: Coef. = 0.0138725, Std. Err. = 0.006486, t = 2.137, P>|t| = 0.033, 95% Conf. Interval = (0.001153, 0.026592)
  
- **hwrte**: Coef. = 0.0183476, Std. Err. = 0.010863, t = 1.689, P>|t| = 0.092, 95% Conf. Interval = (-0.003010, 0.039705)
  
- **priGPA**: Coef. = 1.906347, Std. Err. = 0.3750236, t = 5.083, P>|t| < 0.001, 95% Conf. Interval = (1
Transcribed Image Text:**Using Stata for Regression Analysis in Economics** This guide explores using Stata for regression analysis, focusing on data from undergraduate economics students. The main regression equation is: \[ \text{final} = \beta_0 + \beta_1 \text{atndrte} + \beta_2 \text{hwrte} + \beta_3 \text{priGPA} + \beta_4 \text{ACT} \] **Variables:** - **final**: Final exam score (Mean = 25.88872) - **atndrte**: Percent of classes attended (Mean = 82.12166) - **hwrte**: Percent of homework turned in (Mean = 87.90801) - **priGPA**: Cumulative GPA prior to the term (Mean = 2.59182) - **ACT**: ACT score (Mean = 22.47774) **Stata Output Summary:** - **Observations**: 674 - **Degrees of Freedom**: Model (4), Residual (669), Total (673) - **Sum of Squares (SS) and Mean Square (MS)**: - Model SS: 3904.70776, MS: 773.676939 - Residual SS: 11299.9465, MS: 17.832506 - Total SS: 15024.6543, MS: 22.324895 **Regression Coefficients:** - **atndrte**: Coef. = 0.0138725, Std. Err. = 0.006486, t = 2.137, P>|t| = 0.033, 95% Conf. Interval = (0.001153, 0.026592) - **hwrte**: Coef. = 0.0183476, Std. Err. = 0.010863, t = 1.689, P>|t| = 0.092, 95% Conf. Interval = (-0.003010, 0.039705) - **priGPA**: Coef. = 1.906347, Std. Err. = 0.3750236, t = 5.083, P>|t| < 0.001, 95% Conf. Interval = (1
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