By using the regression line and the below data, find the squares-of-residuals.

By using the regression line `\hat y = 0.7 + 2.9x` and the below data, find the squares-of-residuals.

x	y
-1	0
0	2
1	4
2	5

Solution:

 

x	y	`\hat y = 0.7 + 2.9x`	Error `( y - \hat y)`	Squared Error `( y - \hat y)^2`
-1	0	-2.2	2.2	4.84
0	2	0.7	1.3	1.69
1	4	3.6	0.4	0.16
2	5	6.5	-1.5	2.25
∑				8.94