We perform an experiment and obtain N data points (X1,Y10), (x2,y20), (XN, YNO). Here the subscript "o" on the Y values shows it is an experimental point. Now we're going to try to approximate those points with the line yir-mxi+c. We want to find the values of m and b that minimize the total error of the Sum of the Squares (SS). Doing the necessary substitutions and algebra we find that we can express the Sum of the Squares algebraically as SS=[yio²-2c[yio -2m[xiyio +2mc{xi+Nc²+m²[x² Explain and justify (NOT do mathematically) how can we now find the slope m in terms of xi and yio only?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please help me with 1(a) and (b)
We perform an experiment and obtain N data points (x1,y10), (x2,y20), .... (XN, YNO). Here the
subscript "o" on the Y values shows it is an experimental point. Now we're going to try to
approximate those points with the line yir-mxi+c. We want to find the values of m and b that
minimize the total error of the Sum of the Squares (SS). Doing the necessary substitutions
and algebra we find that we can express the Sum of the Squares algebraically as
SS=[yio²-2c yio -2m[xiyio +2mc[xi+Nc²+m²[x₁²
Explain and justify (NOT do mathematically) how can we now find the slope m in terms of xi
and yio only?
Transcribed Image Text:We perform an experiment and obtain N data points (x1,y10), (x2,y20), .... (XN, YNO). Here the subscript "o" on the Y values shows it is an experimental point. Now we're going to try to approximate those points with the line yir-mxi+c. We want to find the values of m and b that minimize the total error of the Sum of the Squares (SS). Doing the necessary substitutions and algebra we find that we can express the Sum of the Squares algebraically as SS=[yio²-2c yio -2m[xiyio +2mc[xi+Nc²+m²[x₁² Explain and justify (NOT do mathematically) how can we now find the slope m in terms of xi and yio only?
In a pre-experimental trial we establish that the SD is 0.1 and that the mean is 2.11 (units
excluded). Given that we want a 1% percentage uncertainty determine the minimum
number of measurements we require to achieve this level.
Transcribed Image Text:In a pre-experimental trial we establish that the SD is 0.1 and that the mean is 2.11 (units excluded). Given that we want a 1% percentage uncertainty determine the minimum number of measurements we require to achieve this level.
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From the given information, total error sum of squares is

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