Interpreting the coefficient of determination for comparison of regression lines [Use the calculator to get r 2 ]: Eight students took a two-part test (similar to the SAT) intended to predict their first- year of college GPA. The table below shows the scores on the two parts and the first-year GPA for the eight students. (a) Make a scatter plot and find the regression line for predicting first-year GPA based on scores from Part A of the test. Keep track of r and r 2. 2. (b) Give the predicted GPA (based on Part A) and the residual for student number 2. (c) Make a scatter plot and find the regression line for predicting first-year GPA based on scores from Part B of the test. Keep track of r and r

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Interpreting the coefficient of determination for comparison of regression lines [Use the calculator
to get r 2 ]: Eight students took a two-part test (similar to the SAT) intended to predict their first-
year of college GPA. The table below shows the scores on the two parts and the first-year GPA for
the eight students.
(a) Make a scatter plot and find the regression line for predicting first-year GPA based on scores
from Part A of the test. Keep track of r and r 2.
2. (b) Give the predicted GPA (based on Part A) and the residual for student number
2. (c) Make a scatter plot and find the regression line for predicting first-year GPA based on scores
from Part B of the test. Keep track of r and r
2. (d) Give the predicted GPA (based on Part B) and the residual for student number
2. (e) Based on the r 2 values, which part of the test, A or B, gave better predictions for these eight
students? Do your scatter plots agree? Do your solutions for parts (b) and (c) agree?
Student Part A Part B GPA
1
50
45
2.9
2
70
55
3.1
65
65
3.3
40
2.7
345678
35 45 70 75 55
50 75 70 60
22333
6
738
2.3
3.8
3.6
3.3
Transcribed Image Text:Interpreting the coefficient of determination for comparison of regression lines [Use the calculator to get r 2 ]: Eight students took a two-part test (similar to the SAT) intended to predict their first- year of college GPA. The table below shows the scores on the two parts and the first-year GPA for the eight students. (a) Make a scatter plot and find the regression line for predicting first-year GPA based on scores from Part A of the test. Keep track of r and r 2. 2. (b) Give the predicted GPA (based on Part A) and the residual for student number 2. (c) Make a scatter plot and find the regression line for predicting first-year GPA based on scores from Part B of the test. Keep track of r and r 2. (d) Give the predicted GPA (based on Part B) and the residual for student number 2. (e) Based on the r 2 values, which part of the test, A or B, gave better predictions for these eight students? Do your scatter plots agree? Do your solutions for parts (b) and (c) agree? Student Part A Part B GPA 1 50 45 2.9 2 70 55 3.1 65 65 3.3 40 2.7 345678 35 45 70 75 55 50 75 70 60 22333 6 738 2.3 3.8 3.6 3.3
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