Verify the following statistical identities: a) E (T; – T)² = E1 x} – nữ² b) E1(C; – T)(y: – 9) = E=1 ®;Yi – nGT c) E ("; – T)(Yi – 9) = E-,("; – 7) · Y: | uv i=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Verify the following statistical identities:
a) Σ(- 3Σ αξ - na?
b) D (x; – a)(y: – 9) = E-, T;Y: – nỹữ
c) EL (®; – = E (®; – T) · Y:
d) Bi
i=1
=D1
T)(yi – I)
-
S where Sx=
and
%=D1
= r
Sy = V
Sy
n-1
n-1
Transcribed Image Text:Verify the following statistical identities: a) Σ(- 3Σ αξ - na? b) D (x; – a)(y: – 9) = E-, T;Y: – nỹữ c) EL (®; – = E (®; – T) · Y: d) Bi i=1 =D1 T)(yi – I) - S where Sx= and %=D1 = r Sy = V Sy n-1 n-1
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