GPA and MCAT Scores
To get into medical school, students are required to take a standardized test called the Medical College Admissions Test, or MCAT for short. The table below gives the GPA and the MCAT scores of a sample of students who have taken the MCAT. Before you begin analyzing the data, begin your project report by predicting whether or not GPA and the MCAT scores are highly correlated. Explain why you might expect this.
Using a statistical package or a graphing calculator produce a scatterplot for this data set with the GPA as your independent variable and the MCAT scores as your dependent variable and find the "best fit'' line.
Interpret the R2 value for this line.
Does the data support your hypothesis that you made about the MCAT and GPA? Explain.
If your GPA is a 3.60, what MCAT score does this model predict that you will get? How reliable is this prediction? Explain.
|
GPA |
MCAT |
GPA |
MCAT |
GPA |
MCAT |
GPA |
MCAT |
|
4 |
8 |
4 |
8 |
3.95 |
8 |
3.25 |
5 |
|
3.92 |
9 |
3.92 |
6 |
3.83 |
7 |
3.24 |
6 |
|
3.83 |
5 |
3.79 |
7 |
3.77 |
7 |
3.14 |
3 |
|
3.77 |
6 |
3.65 |
7 |
3.63 |
9 |
3.14 |
8 |
|
3.62 |
6 |
3.58 |
5 |
3.58 |
5 |
3.12 |
5 |
|
3.54 |
7 |
3.54 |
6 |
3.53 |
7 |
3.09 |
5 |
|
3.51 |
8 |
3.51 |
8 |
3.45 |
7 |
3.05 |
4 |
|
3.45 |
8 |
3.44 |
6 |
3.43 |
8 |
3.04 |
5 |
|
3.42 |
8 |
3.42 |
9 |
3.4 |
5 |
3.02 |
4 |
|
3.4 |
9 |
3.4 |
6 |
3.4 |
7 |
2.97 |
5 |
|
3.32 |
6 |
3.32 |
6 |
3.32 |
5 |
2.97 |
4 |
|
3.32 |
4 |
3.29 |
6 |
3.29 |
6 |
2.97 |
6 |
|
3.29 |
6 |
3.25 |
4 |
3.25 |
4 |
2.96 |
4 |
|
2.95 |
10 |
2.95 |
8 |
2.86 |
5 |
2.83 |
6 |
|
2.53 |
7 |
2.53 |
4 |
2.53 |
5 |
2.53 |
4 |
GPA and MCAT scores