Run a regression analysis on the following data set, where y is the final grade in a math class and a is the average number of hours the student spent working on math each week. hours/week Grade y 63 49.4 8 71.2 8 62.2 10 61 10 73 11 81.4 15 80 16 98.4 18 91.2 State the regression equation with constants accurate to 2 decimal places. X + What is the predicted value for the final grade when a student spends an average of 12 hours each week on math? Round to 2 decimal places. 5.

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**Educational Transcript**

**Regression Analysis Assignment**

The task is to run a regression analysis on the provided data set, where \( y \) represents the final grade in a math class, and \( x \) is the average number of hours the student spent working on math each week.

**Data Table:**

| Hours/Week (\( x \)) | Grade (\( y \)) |
|----------------------|-----------------|
| 5                    | 63              |
| 6                    | 49.4            |
| 8                    | 71.2            |
| 8                    | 62.2            |
| 10                   | 61              |
| 10                   | 73              |
| 11                   | 81.4            |
| 15                   | 80              |
| 16                   | 98.4            |
| 18                   | 91.2            |

**Tasks:**

1. State the regression equation with constants accurate to two decimal places:
   - \(\hat{y} = mx + b\)
   - Fill in \( m \) (slope) and \( b \) (y-intercept) in the boxes provided.

2. Calculate the predicted value for the final grade when a student spends an average of 12 hours each week on math.
   - Round the predicted value to two decimal places.

**Graph Explanation:**

There is no graph or diagram provided in this image. The task requires interpreting the relationship between study hours and grades using regression analysis.

**Submit:**

Complete the boxes for the regression equation and the predicted grade, and click "Submit Question."

**Additional Resources:**

- **Question Help:**
  - Video 1
  - Video 2

Ensure you review any additional resources provided to aid in understanding regression analysis and completing the task.
Transcribed Image Text:**Educational Transcript** **Regression Analysis Assignment** The task is to run a regression analysis on the provided data set, where \( y \) represents the final grade in a math class, and \( x \) is the average number of hours the student spent working on math each week. **Data Table:** | Hours/Week (\( x \)) | Grade (\( y \)) | |----------------------|-----------------| | 5 | 63 | | 6 | 49.4 | | 8 | 71.2 | | 8 | 62.2 | | 10 | 61 | | 10 | 73 | | 11 | 81.4 | | 15 | 80 | | 16 | 98.4 | | 18 | 91.2 | **Tasks:** 1. State the regression equation with constants accurate to two decimal places: - \(\hat{y} = mx + b\) - Fill in \( m \) (slope) and \( b \) (y-intercept) in the boxes provided. 2. Calculate the predicted value for the final grade when a student spends an average of 12 hours each week on math. - Round the predicted value to two decimal places. **Graph Explanation:** There is no graph or diagram provided in this image. The task requires interpreting the relationship between study hours and grades using regression analysis. **Submit:** Complete the boxes for the regression equation and the predicted grade, and click "Submit Question." **Additional Resources:** - **Question Help:** - Video 1 - Video 2 Ensure you review any additional resources provided to aid in understanding regression analysis and completing the task.
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