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= Let y1, . . . , yn real numbers, and let y n Σ₁ yi be their arithmetic mean. Show that for any real number a the formula holds the so-called n n Σα- (vi- a)^2 = [0 (yi-ÿ)^2 + n(ỹ-a)^2| i=1 i=1 Guidance: start from the representation (yi — a)² = (yi − ÿ + ÿ − a).^2. And other option: revert this to the previous task.

= Let y1, . . . , yn real numbers, and let y n Σ₁ yi be their arithmetic mean. Show that for any real number a the formula holds the so-called n n Σα- (vi- a)^2 = [0 (yi-ÿ)^2 + n(ỹ-a)^2| i=1 i=1 Guidance: start from the representation (yi — a)² = (yi − ÿ + ÿ − a).^2. And other option: revert this to the previous task.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hi could you help solve the exercise. I wrote it to another platform, as this one doesn't contain needed marks. 

Let y1, . . . , yn real numbers, and let y = ₁yi be their arithmetic mean. n Show that for any real number a the formula holds the so-called n n i=1 מי Σ(vi-a)^2 = Σ(vi-ÿ)^2 + n(ÿ-a)^2 | i=1 Guidance: start from the representation (yi − a)² = (yi − ỹ + ÿ − a).^2. And other option: revert this to the previous task.
Transcribed Image Text:Let y1, . . . , yn real numbers, and let y = ₁yi be their arithmetic mean. n Show that for any real number a the formula holds the so-called n n i=1 מי Σ(vi-a)^2 = Σ(vi-ÿ)^2 + n(ÿ-a)^2 | i=1 Guidance: start from the representation (yi − a)² = (yi − ỹ + ÿ − a).^2. And other option: revert this to the previous task.
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