1. The problem statement, all variables and given/known data Derive an equation of the form y=ax^b to model the given data: (35, 0.01) (28, 0.03) (20, 0.1) (15, 0.3) (11, 1) (9,3) (6, 10) (4.5, 30) 2. Relevant equations Well, I know the answer is y = (7790 +/- 1246)x^(-3.698+/-0.1036) because that's what LoggerPro spits out, but I don't know how to derive it correctly without a program. 3. The attempt at a solution Among the many, many attempts: y = Ax^b b = log(y)-log(A) ****** log(x) Then I inserted numbers from two different data points then set the equations equal to each other, resulting in: log(0.1)-log(A) = log(1)-log(A) *** log(20) ****** *** log(11) Which, after a step or two, became: log(20) = log(11)log(0.1) +log(11) ************* log(A) So, log(A) = log(11)log(0.1) *********** log (20) - log(11) Yielding an answer of A ~ -4.01 However, that isn't right, so I didn't even try to solve for b. Could anyone please help? This is a big assignment, so sorry if I bump this thread a bit until I get help. And please take me through the steps, because I don't want to copy, I want to understand. I just need some help getting there. Thanks. P.S. Ignore the asterisks. They're there only to get the denominators in the right place.