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problemset3

problemset3 - PAM 2100 Lecture 1 Instructor Salam Abdus...

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PAM 2100 Lecture 1 Instructor: Salam Abdus Problem Set #3 Posted: September 23 rd , 2008 Due: Tuesday, September 30 th , 2008, at 1:25 pm #1) Many high school students take either the SAT or the ACT. However, some students take both. Data was collected from 70 students who took both college entrance exams. The mean SAT score was 950 with a standard deviation of 170. The mean ACT score was 23 with a standard deviation of 6.5. The correlation between the two variables equals 0.8. a) Give the equation for the least squares regression line, using ACT scores as the explanatory variable and SAT scores as the response variable. (Round your answer for the slope to four decimal places. Use this rounded number to calculate the intercept. Round your answer for the intercept to four decimal places.) b) What proportion of the variation in the values of the SAT scores is attributable to the changes in ACT scores? #2) In a statistics course, a least-squares regression was computed to predict the final exam score from the score on the midterm exam.

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