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Consider this set of "w,z" data (there are "n" pairs of "w,z" data here): [W₁, W2, W3, [Z1, Z2, Z3,..., Zn] he "best" linear fit parameters (i.e. Z; = m w; + b) are obtained from solving the following two equations: wn]

Consider this set of "w,z" data (there are "n" pairs of "w,z" data here): [W₁, W2, W3, [Z1, Z2, Z3,..., Zn] he "best" linear fit parameters (i.e. Z; = m w; + b) are obtained from solving the following two equations: wn]

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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FINISH the derivation (i.e. provide each of the remaining steps) to obtain these two formulas (in "Part b") for m and b from the two equations provided in "Part a."

Consider this set of "w,z" data (there are "n" pairs of "w,z” data here): [W], W2, W3, ... , [Z1, Z2, Z3,..., Ζη] The "best" linear fit parameters (i.e. Z¡ = m w¡ + b) are obtained from solving the following two equations: ,Wh] Η m Σw; + b n = j=1 n Στ i=1 n Π m Σ(w;3) + b Σwi - = i=l i=1 n Σ(w;z;) j=1
Transcribed Image Text:Consider this set of "w,z" data (there are "n" pairs of "w,z” data here): [W], W2, W3, ... , [Z1, Z2, Z3,..., Ζη] The "best" linear fit parameters (i.e. Z¡ = m w¡ + b) are obtained from solving the following two equations: ,Wh] Η m Σw; + b n = j=1 n Στ i=1 n Π m Σ(w;3) + b Σwi - = i=l i=1 n Σ(w;z;) j=1
Part b) The following formulas provide the “best” linear fit (i.e. Z¡ = m w¡ + b) for this "w,z" data: m = b = n n n Σwi Ezi -n Σ(w; zi) 1 {(W; 2₂) i=1 i=1 i=1 n n ( [w₁) ² - nΣ(w₁²) W; i=1 i=1 n n n n Σω; Σ(wizi) - Σ(w;2) Σε i=1 i=1 i = 1 i=1 ก n ({w;)² - nΣ(w₁²2) i=1 i=1 FINISH the derivation (i.e. provide each of the remaining steps) to obtain these two formulas for m and b from the two equations provided in "Part a."
Transcribed Image Text:Part b) The following formulas provide the “best” linear fit (i.e. Z¡ = m w¡ + b) for this "w,z" data: m = b = n n n Σwi Ezi -n Σ(w; zi) 1 {(W; 2₂) i=1 i=1 i=1 n n ( [w₁) ² - nΣ(w₁²) W; i=1 i=1 n n n n Σω; Σ(wizi) - Σ(w;2) Σε i=1 i=1 i = 1 i=1 ก n ({w;)² - nΣ(w₁²2) i=1 i=1 FINISH the derivation (i.e. provide each of the remaining steps) to obtain these two formulas for m and b from the two equations provided in "Part a."
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