For admission into a selective elementary school 50 kids wer

For admission into a selective elementary school, 50 kids were given a math and reading test. The summary statictis are as follows:

Math: Average=76, SD=4

Reading: Average=82, SD=5

The correlation between math and reading scores is 0.5, the scatter plot is football shaped.

(a) What was the score at the 60th percentile on the math test?

(b) Of the student who scored at the 35th percentile on the math test, what percentage scored above 75 on the reading test?

(c) Suppose the regression line is used to predict reading scores from math scores for all these students. About _____ percent of the students will be farther than 5 points away from teh regression line.

Solution