SAT scores. The SAT is a test often used as part of

Chapter 8, Problem 37

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SAT scores. The SAT is a test often used as part of anapplication to college. SAT scores are between 200 and800, but have no units. Tests are given in both Math andVerbal areas. Doing the SAT-Math problems also involvesthe ability to read and understand the questions, but cana persons verbal score be used to predict the math score?Verbal and math SAT scores of a high school graduatingclass are displayed in the scatterplot, with the regressionline added. a) Describe the relationship.b) Are there any students whose scores do not seem to fitthe overall pattern?c) For these data, r = 0.685. Interpret this statistic.d) These verbal scores averaged 596.3, with a standarddeviation of 99.5, and the math scores averaged 612.2,with a standard deviation of 96.1. Write the equationof the regression line.e) Interpret the slope of this line.f) Predict the math score of a student with a verbal scoreof 500.g) Every year some student scores a perfect 1600. Basedon this model, what would be that students Mathscore residual?

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