a.) What if we suppose that before teachings we have an initial wisdom, m 1 , an

Question

a.) What if we suppose that before teachings we have an initial wisdom, m1, and our wisdom grows linearly with the number of years we spend in school, B, then our model is R = m1 + B · m2. Solve a "least squares" problem to determine the model (i.e., m1 and m2) that best fits the given the data above. In this linear model, what is the initial wisdom value m1 ?

b.) Also solve a least squares problem assuming wisdom grows quadratically, B 2 . So R = m1+B2· m2. What is the value of m1 here?

Can I get an actual explanation?

Explanation / Answer

1) To estimate the value of m1 and m2 we need some observed data so that we can use them to find value of m1 and m2.

Let us understand it with an example,

m1 + 1.m2 = 6
m1 + 2.m2 = 5
m1 + 3,m2 = 7
m1 + 4.m2 = 10

S(m1,m2) = [6 - (m1+m2)]2 + [5 - (m1+2m2)]2 + [7 - (m1+3m2)]2 + [6 - (m1+4m2)]2
DO partitial difference of above using m1 and m2 and set it to 0 to find m1 and m2.

and you have not provided the value in it.

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