how do i calculate an estimated regression line with the information

n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396

Question

Jorge

Mathematics

15 October, 12:24

how do i calculate an estimated regression line with the information

n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396

+1

Answers (1)

Know the Answer?

Devin Lamb · Answer 1

The regression line is

y = ax + b

where

a = [ (Σy) (Σx²) - (Σx) (Σxy) ]/D

b = [n (Σxy) - (Σx) (Σy) ]/D

D = n (Σx²) - (Σx) ²

Therefore,

D = 12 (396) - 66² = 396

a = [588*396 - 66*2244]/396 = 214

b = [12*2244 - 66*588]/396 = - 30

Answer:

The regression line is y = 214x - 30

how do i calculate an estimated regression line with the informationn=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396

how do i calculate an estimated regression line with the information

n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396