Question: i) The data given in the table below is known to be approximated with the equation of type y= (a2xa1+x)2. After linearizing the equation, find

i) The data given in the table below is known to be approximated with the equation of type y= (a2xa1+x)2. After linearizing the equation, find a first order (linear) approximation via least squares method and determine the parameters a1, a2. For linearization you can set x=x1 and y=y hence convert the equation to the linear form of y=m1x+m2. So m1=a1/a2 and m2=1/a2. ii) Use the equation and the values of a1,a2 for calculation of the value of the function at x=2.5, i. x when y=3 (i.e. x(3)=y ). hint: (y=m1x+m2) equation can be written for y being the independent variable as x=m1ym2/m1 Fill the table below with the parameters you have found and terms you have calculated for the least squares approximation
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