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method of least squares fit, y=Bx to the following n=6 points (3,4),(1,2),(5,4),(6,8),(3,6),(4,5) and it has to go through the origin can someone help me get started?
 one year ago
 one year ago
method of least squares fit, y=Bx to the following n=6 points (3,4),(1,2),(5,4),(6,8),(3,6),(4,5) and it has to go through the origin can someone help me get started?
 one year ago
 one year ago

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tkhunnyBest ResponseYou've already chosen the best response.1
Did you answer the question last night? \(\sum{xy} = B\cdot\sum{x^{2}}\) Have you seen it? Can you create it?
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
you have to minimize the B right?
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
how did you already get the summation etc without minimazing and taking derivatives?
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
No, you are minimizing the error. You must select the B that accomplishes this task.
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
You are asking good questions. This suggests that you have seen the development of Normal Equations.
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
\(I(B) = \left(y  Bx\right)^{2}\) Find \(\dfrac{dI}{dB}\).
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
I don't get how did you get the summation equation that you posted, i know how to solve it from there, but how did you figured it out so fast
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
It doesn't matter, in this case. I just wanted to check to see that you had it right and were moving on.
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
the question is if there is other way to coming up with the equation to the problem you came up with, instead of going through the minimalization formula then partial derivative =0
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Well, there are some Matrix methods, but I'm guessing we don't want to talk about those, today. You have it just fine, excepting that this is a oneparameter derivation so it's just a Derivative, not a Partial Derivative. 2x(yBx) = 0 leads to what?
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
2Bx^2=+2xy B=2xy/2x^2 B=xy/x^2
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
More importantly, \(xy = Bx^{2}\). Resist the temptation to solve for B. If you've more than one parameter, you WILL become confused. Reach for the standard Normal Equation form.
 one year ago

math_proofBest ResponseYou've already chosen the best response.0
i am not really familiar with Normal Equation yet
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Pretty much just: 1) Everything without a parameter on one side, and 2) Everything with a parameter on the other side  in ascending Order of the terms.
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Solving for y = a + bx comes out: y = a + bx yx = ax + bx^2 For example.
 one year ago
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