I have one question.
Usually when we have a set of data to find the rate of decay,
T = T0 - Tm e^(-kt) + Tm
T0 - Initial temperature
Tm - Surrounding temperature (At 20'C)
k - Constant value
T - Temperature
For eg. when time = 1, T = 90 (Knowing that t= 0 T=100)
So, we will write
90 = 100 - 20 e^(-k*1) + 20
90-20 = 80 e^(-k)
7/8 = e^(-k)
Take natural logs on both sides,
ln 7/8 = -k
k = -0.133531
And because we have t=1,2,3,4,5,6,7,8....n
So I found all the k values and averaged them to find a mean value
However, I was thinking just by averaging the rate of decay and find
an averaged constant value to find the final function that models
the real data (Experimented data) is not accurate enough.
So I wish to seek for some help on this. Can you please tell me
another way to find a good 'k' value that has higher accuracy to
model the data?