b₁ = r ³/2 Sx y=b₁ + b₁x In class, we used the above equations to compute the slope and intercept of a regression line in the case of simple linear regression. Using algebra, show that the regression equations for b and b we used in class are equivalent to the equations below. 0 1 b₁ = ΣΧ Υ – ΣΧ} - ΣΧ. ΣΥ n (ΣΧ.) n - Σ(Χ. – X)(Y, – Υ) Σ(X, - X)² bo - - Σ Υ - " Σ x) = 5 – 6,3

b₁ = r ³/2 Sx y=b₁ + b₁x In class, we used the above equations to compute the slope and intercept of a regression line in the case of simple linear regression. Using algebra, show that the regression equations for b and b we used in class are equivalent to the equations below. 0 1 b₁ = ΣΧ Υ – ΣΧ} - ΣΧ. ΣΥ n (ΣΧ.) n - Σ(Χ. – X)(Y, – Υ) Σ(X, - X)² bo - - Σ Υ - " Σ x) = 5 – 6,3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 36E

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