Least square fit, find coefficients

Using the function

F(t)=a+(b/t)

and data points

t= 4,5,6,7,10
f=1.75,1.73,1.62,1.63,1.49

find the coefficients a and b of the model and calculate the value of the model at 8.0

I tried using polyfit,because it has worked on similar problems,but doesn't work on this.

Any idea?

Answer 1

[David Hill]

t= [4,5,6,7,10];
f=[1.75,1.73,1.62,1.63,1.49];
p=polyfit(1./t,f,1);%it will work but you need to take reciprocal of t

Answer 2

[Image Analyst]

I'd probably use fitnlm() to fit a curve. See attached demo where I fit data to a model equation Y = a * X .^ b + c. I find a, b, and c, but of course you could set b at -1 and find just a and c if you want.