above equation. 2. Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?

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**Title: Are the heights of individuals affected by the heights of their parents?**

### Regression Statistics
- **Multiple R:** 0.631071992
- **R Square:** 0.398251859
- **Adjusted R Square:** 0.365724932
- **Standard Error:** 2.914527039
- **Observations:** 40

### ANOVA
| Source       | df | SS          | MS      | F        | Significance F      |
|--------------|----|-------------|---------|----------|---------------------|
| Regression   | 2  | 208.0084392 | 104.0042| 12.24376 | 8.30181E-05         |
| Residual     | 37 | 314.2953108 | 8.494468|          |                     |
| Total        | 39 | 522.30375   |         |          |                     |

### Coefficients
|               | Coefficients  | Standard Error | t Stat  | P-value  |
|---------------|---------------|----------------|---------|----------|
| Intercept     | 9.804326378   | 12.39987353    | 0.79068 | 0.43417  |
| Mother's Height | 0.657952815 | 0.147476295    | 4.461414| 7.34E-05 |
| Father's Height | 0.200358437 | 0.138223638    | 1.449524| 0.155615 |

### Questions
1. **Write the regression equation that represents the above equation.**

2. **Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?**

3. **Use the equation to predict the height of someone whose mother is 52 inches tall and whose father is 70 inches tall.**
Transcribed Image Text:**Title: Are the heights of individuals affected by the heights of their parents?** ### Regression Statistics - **Multiple R:** 0.631071992 - **R Square:** 0.398251859 - **Adjusted R Square:** 0.365724932 - **Standard Error:** 2.914527039 - **Observations:** 40 ### ANOVA | Source | df | SS | MS | F | Significance F | |--------------|----|-------------|---------|----------|---------------------| | Regression | 2 | 208.0084392 | 104.0042| 12.24376 | 8.30181E-05 | | Residual | 37 | 314.2953108 | 8.494468| | | | Total | 39 | 522.30375 | | | | ### Coefficients | | Coefficients | Standard Error | t Stat | P-value | |---------------|---------------|----------------|---------|----------| | Intercept | 9.804326378 | 12.39987353 | 0.79068 | 0.43417 | | Mother's Height | 0.657952815 | 0.147476295 | 4.461414| 7.34E-05 | | Father's Height | 0.200358437 | 0.138223638 | 1.449524| 0.155615 | ### Questions 1. **Write the regression equation that represents the above equation.** 2. **Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?** 3. **Use the equation to predict the height of someone whose mother is 52 inches tall and whose father is 70 inches tall.**
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