A college in the northeastern United States used SAT scores to help decide which applicants to admit. To determine whether the SAT was useful in predicting success, the college examined the relationship between the SAT scores and first-year GPAs of admitted students. The average math SAT score of a sample of 200 randomly selected students was 649.5 with a standard deviation of 66.2. The average GPA of the same students was 2.63 with a standard deviation of 0.58. The correlation between GPA and math SAT score was 0.19. (a) What does the correlation of 0.19 tell us about SAT scores and GPA scores? (You need to provide two answers.) (b) Find the equation of the least squares regression line. (c) Using the equation, predict the GPA score of a person with a math SAT score of 650. (d) Using the equation, predict the GPA score for a person with a math score of 800.
A college in the northeastern United States used SAT scores to help decide which applicants to admit. To determine whether the SAT was useful in predicting success, the college examined the relationship between the SAT scores and first-year GPAs of admitted students. The average math SAT score of a sample of 200 randomly selected students was 649.5 with a standard deviation of 66.2. The average GPA of the same students was 2.63 with a standard deviation of 0.58. The
(a) What does the correlation of 0.19 tell us about SAT scores and GPA scores? (You need to provide two answers.)
(b) Find the equation of the least squares regression line.
(c) Using the equation, predict the GPA score of a person with a math SAT score of 650.
(d) Using the equation, predict the GPA score for a person with a math score of 800.
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