A population data set produced the following information.
N = 460, ∑x = 3920, ∑y = 2650, ∑x2 = 48,530
∑xy = 26,570,
Find the population regression line.

Answers

To multiply or to times
Ithink that's 30240
Regression line is given in the form of: y = a + bx
Where b is the gradient

Working out 'b'

b = \frac{S_{xy}}{S_{xx}}
S_{xy} =Σxy - [ΣxΣy]/N
S_{xx}= Σx² - [Σx]²/N

S_{xy} = 26570 - \frac{(3920)(2650)}{460}= \frac{91710}{23} =3987.39
S_{xx}=48530- \frac{(3920)^2}{460}=15124.78
b= \frac{3987.39}{15124.78}=0.264

Working out 'a'

a = [∑y/N] - b[∑x/N]
a = [2650/460] - 0.264[3920/460]
a = 5.86 - 2.25
a = 3.61

Regression line equation is 
y = 3.61 + 0.264x


Do you know the answer?

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