Question

Below are data from a collection of students who took the SATs. Based on the information provided, if you wanted to predict someone’s score on the Math section from their score on the Verbal section, what would the equation of the line be? If someone scored a 460 on the Verbal section, what’s the best estimate for their score on the Math section?

N = 220

SAT Math: mean = 580 variance = 4762

SAT Verbal: mean= 620 variance = 4413

Covariance = 1590.5

Answer 1

Regression equation of y on x is given by :

Now ,  

So,

Here , y = SAT math , and x= SAT verbal

So,

  

So, the best line for SAT Math score is

SAT Math = 356.552 + 0.3604 x SAT Verbal

for 460 in the SAT Verbal , the best prediction for SAT Math is :

SAT math = 356.552+0.3604 x 460 = 522.336