Suppose, we have the pairs of numerical observations namely

(X1 , Y1) , (X2 , Y2) , (X3 , Y3) , ................... , (Xn , Yn)

on the variables X and Y.

Here the observations follow the linear model

Yi = A + B.Xi + ei , (i = 1 , 2 , 3 , ......... . n)

where A & B are the parameters and ei is the random error.

In this case, it is possible to obtain estimates of the parameters A & B.

However, my thrust is to know / obtain the actual values of the parameters A & B.

Is it possible to find out the actual values of the parameters A & B in this situation?

The question here is :

" Is it possible to determine the actual values of the parameters, from a set of observations on (X , Y), following linear model ? ".

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