A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshm
A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were:
|
Student |
High School GPA |
Freshmen GPA |
|
1 |
2.0 |
1.6 |
|
2 |
2.2 |
2.0 |
|
3 |
2.6 |
1.8 |
|
4 |
2.7 |
2.8 |
|
5 |
2.8 |
2.1 |
|
6 |
3.1 |
2.0 |
|
7 |
2.9 |
2.6 |
|
8 |
3.2 |
2.2 |
|
9 |
3.3 |
2.6 |
|
10 |
3.6 |
3.0 |
We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4.
Provide the two requested
a) What would be your approximate 95% prediction interval for question (g)?
b) Show your scatterplot with the predicted trend line below
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