- #1

nickerst

- 9

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Suppose two variables x and y are known to satisfy a relation y=Bx. That is a graph of x vs. y is a line through the origin. Suppose further that you have N measurements (xi,yi)and that the uncertainties in x are negligible and those in y are equal. Prove the best estimate for B is B= [Sum(xy)]/[Sum(x^2)]

2. Homework Equations

B= [(N Sum(xy))-(Sum(x))*(Sum(y))]/[Del]

Del = [N(Sum(x^2))] - (Sum(x))^2]

3. The Attempt at a Solution [/b]

So I plugged the equation of Del into the equation for B so I can try to simplify it and therefor show the best estimate. But it just gets more and more complicated. Is that for sure where I should start?