Use the Stata output below. The data comes from students in an undergraduate economics course. The regression of interest is: final 1 = Âo + Â₁atndrte + ß₂hwrte + ¸priGPA+ BACT reg final atndrte hwrte priGPA ACT Source Model Residual Total final atndrte hwrte priGPA ACT _cons SS 3094.70776 11929.9465 15024.6543 df 773.676939 4 669 17.832506 673 Coef. Std. Err. MS .0138725 .0183476 .010863 1.906347 .3750236 .3990516 .0535332 9.225908 1.46863 22.324895 Number of obs F(4, 669) Prob > F R-squared Adj R-squared Root MSE t P>|t| Construct a 95% confidence interval about 83. The lower bound is ☐☐☐☐☐☐ 674 [95% Conf. Intervall

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Use the Stata output below. The data comes from students in an undergraduate economics course. The regression of interest is:

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

The Stata regression command is:

`. reg final atndrte hwrte priGPA ACT`

### Regression Output

#### ANOVA Table

| Source     | SS        | df  | MS         |
|------------|-----------|-----|------------|
| Model      | 3094.70776 | 4   | 773.676939 |
| Residual   | 11299.9465 | 669 | 17.832506  |
| Total      | 15024.6543 | 673 | 22.324895  |

#### Model Summary

- Number of obs = 674

- F(4, 669) = (Not provided)

- Prob > F = (Not provided)

- R-squared = (Not provided)

- Adj R-squared = (Not provided)

- Root MSE = (Not provided)

#### Coefficients

| Variable | Coef.     | Std. Err. | t         | P>|t|     | [95% Conf. Interval]    |
|----------|-----------|-----------|-----------|----------|----------------------|
| atndrte  | 0.0138725 | 0.010863  | (Not provided) | (Not provided) | (Not provided)   |
| hwrte    | 0.0183476 | 0.018208  | (Not provided) | (Not provided) | (Not provided)   |
| priGPA   | 1.906347  | 0.3750236 | (Not provided) | (Not provided) | (Not provided)   |
| ACT      | 0.3990516 | 0.0535332 | (Not provided) | (Not provided) | (Not provided)   |
| _cons    | 9.225908  | 1.46863   | (Not provided) | (Not provided) | (Not provided)   |

### Task

Construct a 95% confidence interval about \(\beta_
Transcribed Image Text:Use the Stata output below. The data comes from students in an undergraduate economics course. The regression of interest is: \[ \hat{f}inal = \hat{\beta}_0 + \hat{\beta}_1 atndrte + \hat{\beta}_2 hwrte + \hat{\beta}_3 priGPA + \hat{\beta}_4 ACT \] The Stata regression command is: `. reg final atndrte hwrte priGPA ACT` ### Regression Output #### ANOVA Table | Source | SS | df | MS | |------------|-----------|-----|------------| | Model | 3094.70776 | 4 | 773.676939 | | Residual | 11299.9465 | 669 | 17.832506 | | Total | 15024.6543 | 673 | 22.324895 | #### Model Summary - Number of obs = 674 - F(4, 669) = (Not provided) - Prob > F = (Not provided) - R-squared = (Not provided) - Adj R-squared = (Not provided) - Root MSE = (Not provided) #### Coefficients | Variable | Coef. | Std. Err. | t | P>|t| | [95% Conf. Interval] | |----------|-----------|-----------|-----------|----------|----------------------| | atndrte | 0.0138725 | 0.010863 | (Not provided) | (Not provided) | (Not provided) | | hwrte | 0.0183476 | 0.018208 | (Not provided) | (Not provided) | (Not provided) | | priGPA | 1.906347 | 0.3750236 | (Not provided) | (Not provided) | (Not provided) | | ACT | 0.3990516 | 0.0535332 | (Not provided) | (Not provided) | (Not provided) | | _cons | 9.225908 | 1.46863 | (Not provided) | (Not provided) | (Not provided) | ### Task Construct a 95% confidence interval about \(\beta_
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