The formula for a regression equation based on a sample size

The formula for a regression equation based on a sample size of 25 observations is Y\' = 2X + 9.

(a) What would be the predicted score for a person scoring 6 on X?

(b) If someone\'s predicted score was 14, what was this person\'s score on X?

Solution

Given Regression Equation : Y\' = 2X+9

(a)

Predicted score for a person scoring 6 on X = 2*6 + 9 = 21 Answer

(b)

If someone\'s predicted score was 14,the person\'s score on X can be found by ,

14 = 2X +9

=> 2X = 5

=> X = 2.5 Answer