Anyone know how to do regression analysis of a shifted exponential curve.
here is the data
the equation should look like a^((-x+1)/b) i think.
I cant seem to do it with my calculator it doesn't handle the shift.
1/4(2+Cos[2(a-b)]+Cos[2(a+b)]-2Cos[c]Sin[a]Sin) <- something seems wrong here
Sin needs a variable.
if a = 0 b= pi/4
you get 1/2
but you might be able to get something smaller than that.
You might try taking partial derivatives of Cos[2(a-b)]+Cos[2(a+b)] wrt a & b and look for extrema. You could also try to write an excel spread sheet which tries different combinations of a & b and use the goal seek function.
I am in a hurry but I will try to work on it later.
A . (A + 3B +7C) = A.A + 3(A.B) + 7(A.C)
A.B and A.C are given
A . (A + 3B +7C) = A.A +(3*3) +(7*-1)
A . (A + 3B +7C) = A.A + 2
X.Y = |X|*|Y| * cos(θ)
A is PARALLEL to A there for θ = 0
The angle between A and A is 0
cos(0) = 1
A.A = 4
A . (A + 3B +7C) = 4 + 2 =6
hope that helps
edit: previously i said normal