STAT211 Chapter 15: Chapter 15

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lemonbeetle804

26 Jun 2018

School

University of Waterloo

Department

Statistics

Course

STAT211

Professor

Joslin Goh

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Chapter 15

uy|x = B0 + B1X

Y = B0 + B1X + e

Residual = e = Y - ȳ

-e ~ N(0, o2)

Y^ = B0^ + B1^X

Cov(x, y) = Sxy = [Σ(xi - x)̅(yi - )]/(n – 1)ȳ

Correlation = r = Sxy / SxSy = Σ(xi - x)̅(yi - )/ȳ √(xi - x)̅2(yi - )ȳ2

B0^ = ȳ - B1^x̅

B1^ = Cov(x, y) / Var(x) = SPxy / SSxx = Σ(xi - x)̅(yi - ) / ȳΣ(xi - x)̅2

SSxx = Σ(xi - x)̅2

Regression Line: Always passes through the mean of x and mean of y and all

residuals sum to 0.

s2 = Σe2 / (n – 2)

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STAT211 Chapter 15: Chapter 15

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