A set of n = 15 pairs of X and Y scores has SSX = 10, SSY = 40, and SP = 30. What is the slope for the regression equation for predicting Y from X?
10/30
10/40
40/10
30/10
To find the slope for the regression equation for predicting Y from X, you need to use the formula:
slope = SP / SSX
Where SP is the sum of products of X and Y deviations from their means (covariance), and SSX is the sum of squares of X deviations from its mean (also known as the variance of X).
From the information given:
SSX = 10
SP = 30
So, the slope for the regression equation is:
slope = 30 / 10 = 3
Therefore, the correct answer is 3.
To find the slope for the regression equation for predicting Y from X, we need to use the formula:
slope (b) = SP / SSX
Given that SSX = 10 and SP = 30, we can substitute these values into the formula:
slope (b) = 30 / 10
Therefore, the slope for the regression equation for predicting Y from X is 3.