I have a set of data:
x 1 2 3 5 10
y 0.02 0.32 1.62 12.53 199.80
And I am told that the suspected relationship between x and y is of the form y = kx^n
I need to explain how a graph of log(x) against log(y) tells me whether this is a good model for relationship? I know that taking logs of x and y and plotting them on a graph will give me a straight line, but how does this tell me that the model (y=kx^n) is appropriate for the relationship?
P.S. What does the straight line of log x and log y shows? Is it like a line of best fit?
Would be grateful for any relevant explaination or a hint, I am trying to figure this out for the past 2 hours Thanks.