Homework Answers
| ΣX | ΣY | Σ(x-x̅)² | Σ(y-ȳ)² | Σ(x-x̅)(y-ȳ) | |
| total sum | 11.00 | 31.00 | 4.67 | 18.7 | -8.67 |
| mean | 3.67 | 10.33 | SSxx | SSyy | SSxy |
Sample size, n = 3
here, x̅ = Σx / n= 3.667
ȳ = Σy/n = 10.333
SSxx = Σ(x-x̅)² = 4.6667
SSxy= Σ(x-x̅)(y-ȳ) = -8.7
estimated slope , ß1 = SSxy/SSxx =
-8.6667/4.6667= -1.8571
intercept,ß0 = y̅-ß1* x̄ = 10.3333- (-1.8571
)*3.6667= 17.1429
Regression line is, Ŷ= 17.14 + (
-1.857 )*x
====================
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