Consider the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. hours/week x Grade y 5 58 8 63.2 8 73.2 9 68.6 9 70.6 11 68.4 13 81.2 14 86.6 17 100 20 100 The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33. Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. Explain what the value of the y-intercept means in this situation. What is the predicted value for the final grade when a student spends an average of 15 hours each week on math? Grade = Round to 1 decimal place.
Consider the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. hours/week x Grade y 5 58 8 63.2 8 73.2 9 68.6 9 70.6 11 68.4 13 81.2 14 86.6 17 100 20 100 The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33. Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. Explain what the value of the y-intercept means in this situation. What is the predicted value for the final grade when a student spends an average of 15 hours each week on math? Grade = Round to 1 decimal place.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Consider the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.
The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33.
Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.
Explain what the value of the y-intercept means in this situation.
What is the predicted value for the final grade when a student spends an average of 15 hours each week on math?
Grade = Round to 1 decimal place.
| hours/week x |
Grade y |
|---|---|
| 5 | 58 |
| 8 | 63.2 |
| 8 | 73.2 |
| 9 | 68.6 |
| 9 | 70.6 |
| 11 | 68.4 |
| 13 | 81.2 |
| 14 | 86.6 |
| 17 | 100 |
| 20 | 100 |
The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33.
Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.
Explain what the value of the y-intercept means in this situation.
What is the predicted value for the final grade when a student spends an average of 15 hours each week on math?
Grade = Round to 1 decimal place.
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