Question

How do i calculate an estimated regression line with the information

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

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