6. A test has two portions: verbal and math. The scores for each portion are positively correlated with a correlation coefficient of 0.65. A scatter diagram of the scores is football shaped. Scores on the verbal portion have an average of 450 points and an SD of 100 points. Scores on the math portion have an average of 425 points and an SD of 110 points. a) One of the students' scores 600 on the verbal portion and 590 on the math portion. Her math score (circle one) (i) is less than (ii) is equal to (iii) is more than (iv) cannot be compared to the average math score of students who have the same verbal score as she does. b) Consider all the students who got 500 points on the verbal portion. Regression predicts that they will have an average score of The RMS Error for this prediction is points. points on the math portion This means that for 95% of students with a 500 on the verbal portion, the regression prediction will correct to within points. c) Among students who score 500 on verbal, what percent score above 500 on math? d) A student scores at the 20th percentile of verbal scores. This means that his verbal score is SDs below the average verbal score. Using regression, we can predict h will have a score on the math portion that is SDs below average. Therefore, he is percentile of math scores. predicted to be at the

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