Question

In: Statistics and Probability

14. For a sample of students, their total SAT scores and college grade point averages (GPA)...

14. For a sample of students, their total SAT scores and college grade point averages (GPA) are given below.

SAT GPA

1070 3.50

1040 2.66

1120 3.54

1260 3.83

1100 2.60

1020 2.70

960 2.00

a. Make a scatterplot on your calculator. Does there appear to be a linear relationship between SAT scores and GPA?

b. Find the least squares regression line. Round all constants to 4 decimal places.

c. Use your equation to predict the college GPA of a student with a 1000 SAT score.

d. Find the correlation coefficient, rounded to 3 decimal places. What does this tell you about the relationship between the two variables?

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