Use the Stata output below. The data comes from students in an undergraduate economics course. The regression of interest is: final = =B₁ + B₁ atndrte + B₂hwrte + Â3priGPA+ Â₁ ACT reg final atndrte hwrte priGPA ACT Source Model 3094.70776 Residual 11929.9465 Yes No Total 15024.6543 final atndrte hwrte priGPA ACT _cons SS .0138725 .0183476 df Coef. Std. Err. Not enough information. 773.676939 4 669 17.832506 MS 673 22.324895 .010863 1.906347 .3750236 .3990516 .0535332 9.225908 1.46863 Number of obs F(4, 669) Prob > F R-squared Adj R-squared Root MSE Is the estimate of 32 statistically different from zero at a significance level of .05? t P>|t| 674 [95% Conf. Interval]

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The image displays output from a Stata regression analysis involving student data from an undergraduate economics course. The regression equation is:

\[ \hat{f}inal = \hat{\beta}_0 + \hat{\beta}_1 atndrte + \hat{\beta}_2 hwrte + \hat{\beta}_3 priGPA + \hat{\beta}_4 ACT \]

**Table Interpretation:**

- **ANOVA Table:**

  | Source    | SS      | df  | MS        |
  |-----------|---------|-----|-----------|
  | Model     | 3094.70776 | 4   | 773.676939  |
  | Residual  | 11292.9465 | 669 | 17.832506 |
  | Total     | 15024.6543 | 673 | 22.324895  |
  
  - "SS" is the sum of squares, "df" is degrees of freedom, and "MS" is mean square.
  - Number of observations: 674
  - F(4, 669) is the F-statistic for the model.

  - Prob > F: Not specified
  - R-squared: 0.206
  - Adjusted R-squared: Not specified
  - Root MSE: Not specified

- **Coefficients Table:**

  | Variable  | Coef.   | Std. Err. | t        | P>|t|    | [95% Conf. Interval] |
  |-----------|---------|-----------|----------|--------|-----------------------|
  | atndrte   | 0.0138725 | -       | -        | -      | -                       |
  | hwrte     | 0.0183476 | 0.010863 | 1.688    | 0.092  | [-0.0029474, 0.0396426] |
  | priGPA    | 1.906347  | 0.3750236| 5.084    | 0.000  | [1.169631, 2.643063]   |
  | ACT       | 0.3990516 | 0.0553332| 7.208    | 0.000  | [0.2904413, 0.507662]  |
  | _cons
Transcribed Image Text:The image displays output from a Stata regression analysis involving student data from an undergraduate economics course. The regression equation is: \[ \hat{f}inal = \hat{\beta}_0 + \hat{\beta}_1 atndrte + \hat{\beta}_2 hwrte + \hat{\beta}_3 priGPA + \hat{\beta}_4 ACT \] **Table Interpretation:** - **ANOVA Table:** | Source | SS | df | MS | |-----------|---------|-----|-----------| | Model | 3094.70776 | 4 | 773.676939 | | Residual | 11292.9465 | 669 | 17.832506 | | Total | 15024.6543 | 673 | 22.324895 | - "SS" is the sum of squares, "df" is degrees of freedom, and "MS" is mean square. - Number of observations: 674 - F(4, 669) is the F-statistic for the model. - Prob > F: Not specified - R-squared: 0.206 - Adjusted R-squared: Not specified - Root MSE: Not specified - **Coefficients Table:** | Variable | Coef. | Std. Err. | t | P>|t| | [95% Conf. Interval] | |-----------|---------|-----------|----------|--------|-----------------------| | atndrte | 0.0138725 | - | - | - | - | | hwrte | 0.0183476 | 0.010863 | 1.688 | 0.092 | [-0.0029474, 0.0396426] | | priGPA | 1.906347 | 0.3750236| 5.084 | 0.000 | [1.169631, 2.643063] | | ACT | 0.3990516 | 0.0553332| 7.208 | 0.000 | [0.2904413, 0.507662] | | _cons
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