Question

0 3 X Y 2 4 4 Given to the right are two linear equations and a set of data points a. Graph the linear equations and data points. b. Complete tables for X. y. y. e, and e? c. Determine which line fits the set of data points better, according to the least squares criterion Line Ay=-1+3x Line : y=1+2x a. Graph the linear equations and data points. Note that Line Ais dashed red and Line B is solid blue A. B. oc. OD AY 104 10- 10 0 O O S x 10 10 10 ck to select your answer(s).

Answer 1

a)

Linear equation and data points: Answer D.

OD 107 G 10

b)

For Line A:

X	Y	Predicted value, ŷ	Residual, e	e²
1	4	-1 + (3) * 1 = 2	2	4
2	4	-1 + (3) * 2 = 5	-1	1
3	8	-1 + (3) * 3 = 8	0	0

For Line B:

X	Y	Predicted value, ŷ	Residual, e	e²
1	4	1 + (2) * 1 = 3	1	1
2	4	1 + (2) * 2 = 5	-1	1
3	8	1 + (2) * 3 = 7	1	1

c)

Line B is the better fit because it has smaller sum of squared errors.