I had a 10cm pole which broke in half. The two peices were measured and this resulted in values of and respectively.
If the true 'correct' length of the first peice is given as and the standard deviation of the two measurements is
1) Then find the least-square estimate of
2) Find the standard error of the estimate in (1) in terms of
My Answer so Far
By Least-Squares Definition we minimize distance
Take derivative and set to zero? This is where I am unsure? *Thanks*
If I do this I get
This solves to
Is this somewhere close?
Now Im also unsure of this variance property.. but I solve to get
Is it right that the variance of the 10 is zero.. so it just leaves the equation?
Thanks very much for any help advice