Question
The Data below represents number of hours students’ study Mathematics per week and their corresponds GPA...
The Data below represents number of hours students’ study Mathematics per week and their corresponds GPA –(GPA is based on 0 to 4)
|
Hours of Study |
GPA |
|
4 |
3 |
|
4.5 |
3 |
|
5 |
3.33 |
|
5 |
3 |
|
6 |
3.67 |
|
7 |
3.5 |
|
7 |
3.5 |
|
8 |
4 |
|
4.5 |
4 |
|
6 |
3 |
|
7 |
4 |
|
6 |
3.5 |
|
8 |
3.67 |
- Draw the Scatter Diagram considering “x” as study time and “y” as the GPA of a student.
- Find the predicted linear equation, then describe the domain and the range.
- Find a student’s GPA if he/she is studying 5.5 hours per week, using the predicted line above.
- How many hours a student should study in order to earn 3.67 GPA at Mathematics?
Homework Answers
Answer #1
Following is the data given
| Hours | GPA |
| 4 | 3 |
| 4.5 | 3 |
| 5 | 3.33 |
| 5 | 3 |
| 6 | 3.67 |
| 7 | 3.5 |
| 7 | 3.5 |
| 8 | 4 |
| 4.5 | 4 |
| 6 | 3 |
| 7 | 4 |
| 6 | 3.5 |
| 8 | 3.67 |
The plot is as under
a. The scatter diagram is uploaded above
b. the predicted linear equation is GPA = 0.1633*t + 2.4951 ( where
t is the number of hours spent studying everyday)
the domain is t belongs to closed set [4,8]
range is GPA belongs to closed set [3.33, 4]
c. for 5.5 hours,
0.1633*5.5 + 2.4951 = 3.39325 gpa
d. for 3.67 GPA
3.67 = 0.1633t + 2.4951
t = 7.19473361 hours per day
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