— (i) For any {(xi, Yi)}=1, Sxy = = n n i=1 (xi — x)Yi n 1 ii) For any {(xi, Yi)}_1, Sxy = = ΣXi Yi - T· Y n i=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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J 2 Prove the following covariance identities using summation properties:
n
(i) For any {(xi, Yi)}_1, Say =
n
(ii) For any {(xi, Yi)}?_=1, Sxy
1
n
n
Σ(xi - T) Yi
i=1
n
ΣXiYi - T • Y
i=1
Transcribed Image Text:n (i) For any {(xi, Yi)}_1, Say = n (ii) For any {(xi, Yi)}?_=1, Sxy 1 n n Σ(xi - T) Yi i=1 n ΣXiYi - T • Y i=1
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