Question

PROBLEM
The scatter diagram of SAT verbal and math scores in a state is roughly football shaped, and the correlation is 0.65.


A student is on the 40th percentile of verbal scores. Find the regression estimate of this student’s percentile rank in math.

Answer 1

First transform the percentile rank for verbal scores into standard units by using the normal table.The z-score for the 40th percentile = -0.253
Next multiply the percentile rank for verbal scores in standard units by the correlation coefficient to obtain the predicted math score in standard units.
The z-score for math = (-0.253) * (0.65) = -0.16445.
Finally use the standard normal distribution table to convert the z-score for math to a percentile, giving math on the 43rd percentile.

Answer 2

@abhi_abhi Do you understand the calculation?

Answer 3

@kropot72 yes.
thank you