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.
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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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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