Managers rate employees based on job performance and attitude. The results for several randomly selected employees are given below. Performance 59 |63|65|69 | 58 |77 | 76| 69 70 64 72 67 78 82 75 87 92 83 87 78 Attitude y =-47.3 + 2.02x v - 92.3 – 0.669x = 11.7 + 1.02x Ov=2.81 + 1.35x

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Find the equation of the regression line
**Regression Analysis: Evaluating Employee Performance and Attitude**

**Objective**: Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

**Data Overview**:

Managers rate employees based on job performance and attitude. The results for several randomly selected employees are presented below:

- **Performance Scores**: 59, 63, 65, 69, 58, 77, 76, 69, 70, 64
- **Attitude Scores**: 72, 67, 78, 82, 75, 87, 92, 83, 87, 78

**Regression Equation Options**:

1. \( \bar{y} = -47.3 + 2.02x \)
2. \( \bar{y} = 92.3 - 0.669x \)
3. \( \bar{y} = 11.7 + 1.02x \)
4. \( \bar{y} = -2.81 + 1.35x \)

**Instructions**:

- Analyze the data to determine which regression line best fits the relationship between performance and attitude.
- Use statistical software or manual calculations to identify which equation most accurately represents the relationship.
- Ensure the final values are rounded to three significant digits, as needed.
Transcribed Image Text:**Regression Analysis: Evaluating Employee Performance and Attitude** **Objective**: Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. **Data Overview**: Managers rate employees based on job performance and attitude. The results for several randomly selected employees are presented below: - **Performance Scores**: 59, 63, 65, 69, 58, 77, 76, 69, 70, 64 - **Attitude Scores**: 72, 67, 78, 82, 75, 87, 92, 83, 87, 78 **Regression Equation Options**: 1. \( \bar{y} = -47.3 + 2.02x \) 2. \( \bar{y} = 92.3 - 0.669x \) 3. \( \bar{y} = 11.7 + 1.02x \) 4. \( \bar{y} = -2.81 + 1.35x \) **Instructions**: - Analyze the data to determine which regression line best fits the relationship between performance and attitude. - Use statistical software or manual calculations to identify which equation most accurately represents the relationship. - Ensure the final values are rounded to three significant digits, as needed.
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