The regression line $\hat { Y } = 3 + 2.5 X$
Has been fitted to the data points (28,60), (20,50), (10,18),and (25,55).The sum of the squared residuals will be:
A) 20.25
B) 16.00
C) 49.00
D) 94.25

Question

Quizplus · Accepted Answer

The residuals are calculated as the difference between the actual Y values and the predicted Y values from the regression line. Calculating these for each data point and then squaring and summing them gives the sum of squared residuals as 94.25.

The Regression Line Y^=3+2.5X\hat { Y } = 3 + 2.5 XY^=3+2.5X

The Regression Line $\hat { Y } = 3 + 2.5 X$