Question: if you read this paper its has solution for parameter a,b and c . so here in the paper got solution but now have to

Giclayo This can the dates Cypre ve Least Square Legrann E. (2 het - experiments j. Get => E20 ma the Lewe Duterte tol por het 34 te . XV ---- HE [ A (-awy - 3)(4). F 0 33 0-> (v;-43-cy-x). La luzo-bij-hegy) Cys).00 PA 6 marts --I-505-Ichen 53 a sve +65) Sugi) Erly IT-thig (43) Notes eleve cake with the -15 vy-5, 35393 re Skvis) 1 => Ergys Elogij baigtigt; & clogif) changes met vulgo wyroby with fer apos wet a part 3.4.3.11.-es mit for the time, but with Oports ent 3) XAL **13 ele hy V... Sword A. Wyling Vand I 1 Our Model P = a + bi + clogi This equation is created by us to fit into the data points it is called "hypothesis". d': v' is prediction for an "1" 2 Least Square Regression , j=1 : Total error=sum of difference from accurate v to v. j:Experiment number we have total n-experiments E = )-1(0; - a - bi; - clogi;)? We need to minimise the total error, so we make the first derivative with respective to the variables "0" so that, we get differential minima. 3 Optimization Here (0; a bij clog,1) 7 j1 Here we take least square error, square of the error added together is a better way to estimate the error than added absolute error. And also we have three variables in the such as a,b,c so, we get three derivatives, which we hall equate "0". = 0 - 2(, - - , - clogi;)(-1) = 0 (1) 31 = 0 - 2(, -- , - clogi,)(-i;) = 0 (2) 80 j 71 3) (3) j=1 = 0 = 2(, - - , - clogi;)(- Iog ij) = 0 3 variables 3 equations we can find a,b,c. Equation 1 is: 2(, -1- bi, - clogi,)(-1) = 0 = ; --, -clogi, = 0 + , = a +6, +c, = 0 Equation 2 is; 2(, - - bi, - clogi,)(1i,)) = 0 + ;i, = i, + ) +;(logi;) Equation 3 is; 2(, - - bi, - clog 1,)(-logt;) = 0 Iog , = ogi, +- i, Iogi, +Iog )? logi 2 ilogi ogi ilogi (log i)?) Iog 1) n 4 NOTE We have come up with the formulation for a,b an c which are the coefficients in the hypothesis to current (i) or voltage (v). The values for a b c will vary dynamically. With fewer experiments we get a poor estimate for the coefficient, but with much like 100 or 1000 experiments we can find the best fitting curve, which would men a more accurate model. Also, if we need to control a,b and c, we can do so, by controlling V and
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
