In: Statistics and Probability
Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week.
Hours/week x |
Grade y |
---|---|
5 |
61 |
5 | 55 |
8 | 65.2 |
8 | 59.2 |
10 | 67 |
11 | 65.4 |
15 | 84 |
18 | 94.2 |
18 | 100 |
20 | 100 |
State the regression equation y = m ⋅ x + b, with constants accurate to two decimal places.
What is the predicted value for the final grade when a student spends an average of 9 hours each week on math? Grade = Round to 1 decimal place.
The regression equation is y = 3.07x + 38.87
Predicted value for the final grade when a student spends an average of 9 hours each week = 3.07*9 + 38.87 = 66.5