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LSAT Scores Predict Law School GPAs Under 40 Characters

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Based on the relationship between LSAT scores and first-year GPAs at a law school, where the average LSAT is 165, average GPA is 65, standard deviations are 10 and 5 respectively, and the correlation is 0.6: Without knowing the student's LSAT score, the estimated GPA would be 65 with an expected root-mean-square error of 10.625. After learning the student's LSAT score was 175, well above average, the estimated GPA would be higher at 70, with the same expected root-mean-square error of 10.625.

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A law school finds the following relationship between LSAT scores and first-year GPAs: average LSAT score 165,SD10 average first-year GPA65,SD5,r0.6 The scatter diagram is football-shaped. One of these students is chosen at random, and you are asked to estimate her first-year GPA, without being told her LSAT score. a. What would you estimate for her first-year GPA? Answer: b. What r.m.s. error would you expect for this estimate? i. 5 ii. 10 iii. 10.625 iv. 10.6210 Choose one: Later you find that the student's LSAT score is 175. a. Now what would you estimate for her first-year GPA? Answer: b. What r.m.s. error would you expect for this estimate? i. 5 ii. 10 iii. 10.625 iv. 10.6210 Choose one: iii iv.

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