Question

Complete parts​ (a) through​ (h) for the data below.

x	−2	−1	0.	1	2.
y	−4	0	3	4	4

(d) By​ hand, determine the​ least-squares regression line.

y=____ x + ____

​(Round to three decimal places as​ needed.)

Answer 1

X = 0 , = 0 , Y = 7, = 1.4,   X * Y = 20 , X² = 10

Sxx = X² - n² = 10 - 0 = 10

Sxy = XY = * = 20 - 0 * 1.4 = 20

b = Sxy / Sxx = 20/10 = 2

a = - b

= 1.4 - 2 * 0

= 1.4

The least square regression line is

= bX + a

= 2 X + 1.4