Sy b₁ = r Sx y = b₁₂+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 ΣΧ. ΣΥ ΣΧΥ n b₁ = (ΣΧ.) 2 Σ(X-X) (YY) Σ(Χ - Χ)2 ΣΧ - n bo = n Σ Υ - b 2 x = 7 - bik Y₁ - bX

Sy b₁ = r Sx y = b₁₂+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 ΣΧ. ΣΥ ΣΧΥ n b₁ = (ΣΧ.) 2 Σ(X-X) (YY) Σ(Χ - Χ)2 ΣΧ - n bo = n Σ Υ - b 2 x = 7 - bik Y₁ - bX

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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