The regression line y 3 25 X has been fitted to the data p

The regression line 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:

Solution

y=-3+2.5x

when x=28,y=67

so residual=67-60=7

when x=20,y=47

so residual=47-50=-3

when x=10, y=22

so residual=22-18=4

when x=25,y=59.5

so residual=59.5-55=4.5

so squared sum of residuals=7^2+(-3)^2+4^2+4.5^2=94.25