Consider a 'power-law relationship' where the power-law index, r , and the constant of proportionality, c , are both unknown.
If you had collected data relating x and y (and you expect it to follow the relationship above), then which of the following would be a way to linearise that data such that you could make a graph where r should be the gradient?
There may be more than 1 correct answer. If so, you will be awarded full marks for any correct answer.
(In each of the following options, the vertical axis is listed first.)

Question

Consider a 'power-law relationship'    where the power-law index,  r , and the constant of proportionality,  c , are both unknown. 
 If you had collected data relating x and y (and you expect it to follow the relationship above), then which of the following would be a way to linearise that data such that you could make a graph where  r  should be the gradient? 
 There may be more than 1 correct answer. If so, you will be awarded full marks for any correct answer. 
 (In each of the following options, the vertical axis is listed first.)

Answer

Graph    vs    (where "log" is "logarithm to base 10")

Answer

Graph    vs    (where " ln " is the "natural logarithm" or the "logarithm to base e")

Answer

Graph    vs

Answer

There is not enough information to linearise this data for a graph, because we do not know the constant of proportionality,  c.

Answer

There is not enough information to linearise this data for a graph, because we cannot untangle the 'power of  r ' on the right-hand side of the equation.

Answer

Graph    vs

Crowdly

Consider a 'power-law relationship' where the power-law index, r , and the c...

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