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

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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