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 ____ points on the math portion. The RMS Error for this prediction is ____ points. 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 he will have a score on the math portion that is ____ SDs below average. Therefore, he is predicted to be at the ______ percentile of math scores.
A test has two portions: verbal and math. The scores for each portion are
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 ____ points on the math portion. The RMS Error for this prediction is ____ points.
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 he will have a score on the math portion that is ____ SDs below average. Therefore, he is predicted to be at the ______ percentile of math scores.
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