Briefly, do you think there is enough predictive power in the freshman courses, relative to the freshman and sophomore courses combined, to change to a sophomore admit policy? (Answer only on the basis of the regression results; don’t get into other merits of the argument.)   Sophomore regression results is the picture with code E270, freshm

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Briefly, do you think there is enough predictive power in the freshman courses, relative to the freshman and sophomore courses combined, to change to a sophomore admit policy? (Answer only on the basis of the regression results; don’t get into other merits of the argument.)

 

Sophomore regression results is the picture with code E270, freshman is the other (K201)

**Date:** Saturday, October 2, 2021  
**Updating:** Static  
**Variable:** Core  

### Multiple Regression for Core

#### Summary

- **Multiple R:** 0.4166  
- **R-Square:** 0.1735  
- **Adjusted R-square:** 0.1702  
- **Standard Error of Estimate:** 0.520051414  
- **Rows Ignored:** 0  
- **Outliers:** 0  

#### ANOVA Table

| Source       | Degrees of Freedom | Sum of Squares | Mean of Squares | F           | p-Value  |
|--------------|--------------------|----------------|-----------------|-------------|----------|
| Explained    | 1                  | 14.08195445    | 14.08195445     | 52.06793712 | < 0.0001 |
| Unexplained  | 248                | 67.07246144    | 0.270453544     |             |          |

#### Regression Table

| Variable  | Coefficient | Standard Error  | t-Value     | p-Value  | Confidence Interval 95%    |
|-----------|-------------|-----------------|-------------|----------|----------------------------|
| Constant  | 1.27174276  | 0.168542825     | 7.545517059 | < 0.0001 | Lower: 0.939784915 <br> Upper: 1.603700604 |
| E270      | 0.383435348 | 0.053138215     | 7.215811605 | < 0.0001 | Lower: 0.278775614 <br> Upper: 0.488095082 |

### Explanation

This table presents the results of a multiple regression analysis. Here's a breakdown of the key components:

- **Multiple R** indicates the correlation between the observed and predicted values of the dependent variable. A value of 0.4166 suggests a moderate positive correlation.

- **R-Square** (0.1735) shows that about 17.35% of the variance in the dependent variable can be explained by the model.

- **ANOVA Table** dissects the variance into explained and unexplained parts, revealing the significance of the overall model (p-Value < 0.0001).

- **Regression Table** lists the variables (Constant and E270
Transcribed Image Text:**Date:** Saturday, October 2, 2021 **Updating:** Static **Variable:** Core ### Multiple Regression for Core #### Summary - **Multiple R:** 0.4166 - **R-Square:** 0.1735 - **Adjusted R-square:** 0.1702 - **Standard Error of Estimate:** 0.520051414 - **Rows Ignored:** 0 - **Outliers:** 0 #### ANOVA Table | Source | Degrees of Freedom | Sum of Squares | Mean of Squares | F | p-Value | |--------------|--------------------|----------------|-----------------|-------------|----------| | Explained | 1 | 14.08195445 | 14.08195445 | 52.06793712 | < 0.0001 | | Unexplained | 248 | 67.07246144 | 0.270453544 | | | #### Regression Table | Variable | Coefficient | Standard Error | t-Value | p-Value | Confidence Interval 95% | |-----------|-------------|-----------------|-------------|----------|----------------------------| | Constant | 1.27174276 | 0.168542825 | 7.545517059 | < 0.0001 | Lower: 0.939784915 <br> Upper: 1.603700604 | | E270 | 0.383435348 | 0.053138215 | 7.215811605 | < 0.0001 | Lower: 0.278775614 <br> Upper: 0.488095082 | ### Explanation This table presents the results of a multiple regression analysis. Here's a breakdown of the key components: - **Multiple R** indicates the correlation between the observed and predicted values of the dependent variable. A value of 0.4166 suggests a moderate positive correlation. - **R-Square** (0.1735) shows that about 17.35% of the variance in the dependent variable can be explained by the model. - **ANOVA Table** dissects the variance into explained and unexplained parts, revealing the significance of the overall model (p-Value < 0.0001). - **Regression Table** lists the variables (Constant and E270
**Multiple Regression Analysis for Core Variable**

Date: Saturday, October 2, 2021  
Updating: Static

---

### Summary

- **Multiple R**: 0.3583
- **R-Square**: 0.1284
- **Adjusted R-Square**: 0.1249
- **Standard Error of Estimate**: 0.534056823
- **Rows Ignored**: 0
- **Outliers**: 0

### ANOVA Table

- **Degrees of Freedom**:
  - Explained: 1
  - Unexplained: 248

- **Sum of Squares**:
  - Explained: 10.42067669
  - Unexplained: 70.7337392

- **Mean of Squares**:
  - Explained: 10.42067669
  - Unexplained: 0.285126969

- **F-Value**: 36.53599894
- **p-Value**: < 0.0001

---

### Regression Table

| Variable   | Coefficient | Standard Error | t-Value     | p-Value | Confidence Interval 95% (Lower) | Confidence Interval 95% (Upper) |
|------------|-------------|----------------|-------------|---------|---------------------------------|---------------------------------|
| Constant   | 1.39654313  | 0.179884714    | 7.763428726 | < 0.0001 | 1.042241255                     | 1.750845004                     |
| K201       | 0.341735028 | 0.056365361    | 6.044501546 | < 0.0001 | 0.230382093                     | 0.453087964                     |

---

This regression analysis provides insights into the relationship between the core variable and predictor K201. The model shows a moderate correlation (Multiple R = 0.3583) and a determination coefficient (R-Square = 0.1284), indicating that approximately 12.84% of the variability in the core variable can be explained by K201. The significant p-values suggest that the predictor is statistically significant in the model.
Transcribed Image Text:**Multiple Regression Analysis for Core Variable** Date: Saturday, October 2, 2021 Updating: Static --- ### Summary - **Multiple R**: 0.3583 - **R-Square**: 0.1284 - **Adjusted R-Square**: 0.1249 - **Standard Error of Estimate**: 0.534056823 - **Rows Ignored**: 0 - **Outliers**: 0 ### ANOVA Table - **Degrees of Freedom**: - Explained: 1 - Unexplained: 248 - **Sum of Squares**: - Explained: 10.42067669 - Unexplained: 70.7337392 - **Mean of Squares**: - Explained: 10.42067669 - Unexplained: 0.285126969 - **F-Value**: 36.53599894 - **p-Value**: < 0.0001 --- ### Regression Table | Variable | Coefficient | Standard Error | t-Value | p-Value | Confidence Interval 95% (Lower) | Confidence Interval 95% (Upper) | |------------|-------------|----------------|-------------|---------|---------------------------------|---------------------------------| | Constant | 1.39654313 | 0.179884714 | 7.763428726 | < 0.0001 | 1.042241255 | 1.750845004 | | K201 | 0.341735028 | 0.056365361 | 6.044501546 | < 0.0001 | 0.230382093 | 0.453087964 | --- This regression analysis provides insights into the relationship between the core variable and predictor K201. The model shows a moderate correlation (Multiple R = 0.3583) and a determination coefficient (R-Square = 0.1284), indicating that approximately 12.84% of the variability in the core variable can be explained by K201. The significant p-values suggest that the predictor is statistically significant in the model.
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