Question

5. Find the least squares line associated with the following data. Show all work for Find the l. any credit 5 71

Answer 1

	x	y	xy	x2
	2.00	2.50	5.00	4.00
	3.00	3.60	10.80	9.00
	5.00	4.10	20.50	25.00
	7.00	5.00	35.00	49.00
$\sum$	17.00	15.20	71.30	87.00

Η Σ 17/4 = 4.25

Η Σ9 – 15.2/4 = 3.80

Slope of Least squares line is given by

хи — r"Со f.ru — fх 7 – 4

b =- 71.30 – 4* 4.25 * 3.80 -= 0.454237 87,00 – 4* 4.252

a = y - 17 = 3.80 – 0.454237 * 4.25 = 1.869493

Least square line is given by

y = a + br = 1.869493+ 0.4542370