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Let y1, . ... Yn real numbers, and let n y = 1/√ Σ² ²=1 Yi n their arithmetic mean. Show that for any real number a the formula holds n - n - - Σ (Yi − a)² = Σ (Yi − ÿ)² + n(ÿ − a)² i=1 i=1 Guidance: start from the presentation (yi - a)² = (Yi − ÿ †ÿ − a)² -

Let y1, . ... Yn real numbers, and let n y = 1/√ Σ² ²=1 Yi n their arithmetic mean. Show that for any real number a the formula holds n - n - - Σ (Yi − a)² = Σ (Yi − ÿ)² + n(ÿ − a)² i=1 i=1 Guidance: start from the presentation (yi - a)² = (Yi − ÿ †ÿ − a)² -

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Let y1, . ... Yn real numbers, and let n y = 1/√ Σ² ²=1 Yi n their arithmetic mean. Show that for any real number a the formula holds n - n - - Σ (Yi − a)² = Σ (Yi − ÿ)² + n(ÿ − a)² i=1 i=1 Guidance: start from the presentation (yi - a)² = (Yi − ÿ †ÿ − a)² -
Transcribed Image Text:Let y1, . ... Yn real numbers, and let n y = 1/√ Σ² ²=1 Yi n their arithmetic mean. Show that for any real number a the formula holds n - n - - Σ (Yi − a)² = Σ (Yi − ÿ)² + n(ÿ − a)² i=1 i=1 Guidance: start from the presentation (yi - a)² = (Yi − ÿ †ÿ − a)² -
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