Question

X y

2, 65
4, 74
6, 81
8, 96
10, 109
@directrix
Identify the equation of the least squares regression line that most
closely matches the data set.

yˆ = 0.17x − 13.2
yˆ = 5.5x + 52
yˆ = 3.5x − 6921.2
yˆ = −2.2x + 13.8

Answer 1

The answer is yˆ = 5.5x + 52
The closest to this is that equation, you can check it to prove that it is closer than the other options.

Let, yˆ = 5.5x + 52 be the equation

X=2,4,6,8,10
y=?

x1=2
y1=5.5(2) + 52
=63

x2=4
y2=5.5(4) + 52
=74

x3=6
y3=5.5(6) + 52
=85

x4=8
y4=5.5(8) + 52
=96

x5=10
y5=5.5(10) + 52
=107