In a certain experiment, the power (P) radiated by a light bulb filament was measured as a function of the filament's absolute temperature (T).
(a) Plot the data (Done)
(b) Assume a power function and re-plot the data.
The Attempt at a Solution
I plotted the data and it looks like a natural logarithm. I'm not sure what to do next. Raising each T value to the power of 2 straightens out the curve a bit but not completely. Is that what it means to assume a power function? If a power function is y=kx^a, how do I know which exact a to take and where do I get k from? Thanks.