- #1
Matt21
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Homework Statement
Three points are given with errors on y coordinates.
(2.00,4.70±0.36); (4.00,6.8&±0.45); (5.00, 9.10±0.50)
Using LSQ method, find the error on slope.
Homework Equations
σm = σy√(n/Δ), where σy = √(1/n-2(Σ(yk - y(xk))^2)) and Δ = nΣxk^2 - (Σxk)^2
The Attempt at a Solution
I do not know if this is the correct equation or if I made an error in my calculations but what I got was:
σy = 1/3-2((4.7-4.7(2))^2+(6.8-6.8(4))^2+(9.1-9.1(5))^2) = 42 and
Δ = (2^2+4^2+5^2)-(2+4+5)^2 = -76
n = 3
Obviously I can't use Δ since you can't get a root of a negative number. Can anyone see what I'm doing wrong? Any help would be much appreciated.