Answered: Hello, can you please let me know where…

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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Question

Hello, can you please let me know where the 1.8708 came from from for sy? I am getting 1.5. Thank you.

Expert Solution

Step 1: Calculation verified.

The values of $y subscript i$ for n=5 are

100, 101, 102, 105, 102

Their sum = (100+101+102+105+102) = 510

Sample mean $top enclose y$ = $510 over 5$ =102

$sum from 1 to 5 of left parenthesis y subscript i minus top enclose y space right parenthesis squared space equals left parenthesis negative 2 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared plus left parenthesis 0 right parenthesis squared plus left parenthesis 3 right parenthesis squared plus left parenthesis 0 right parenthesis squared space equals space 4 plus 1 plus 0 plus 9 plus 0 space equals 14$

$s subscript y squared space equals fraction numerator sum from 1 to 5 of left parenthesis y subscript i minus top enclose y space right parenthesis squared over denominator left parenthesis n minus 1 right parenthesis end fraction space equals 14 over 4 equals 3.5$

$s subscript y space equals end subscript square root of 3.5 end root$ = 1.8708

The expert did mistake in copying his own result and put $s subscript y squared space equals 9 over 4 space w h e r e a s space i t space s h o u l d space h a v e space b e e n space 14 over 4$

However the answer 1.8708 is correct.