Problem. You have the data of two measured variables x and y. According to a the

Question

Problem. You have the data of two measured variables x and y. According to a theory the variables relate to each other as the non-linear functions shown below: a) 2 3 y = Ax , b) y = A x 3 , c) y A x 2 = cos , where A is a constant. For each case, decide which variables you have to choose to plot so the expected graph is a straight line that passes through the origin. For instance if a theory predicted the following form, = !, then by plotting versus ! the resultant plot would be a straight line that passes through the origin.

Explanation / Answer

A) y2 = Ax3..............(1)

Consider y2 = Y and x3 = X.

Put these values in 1 we get,

=> Y = AX

=> Y = AX is a straight line passing through origin.

b) y3 = Ax..............(1)

Consider y3 = Y and x = X.

Put these values in 1 we get,

=> Y = AX

=> Y = AX is a straight line passing through origin.

c) y = Acos2x..............(1)

Consider y = Y and cos2x = X.

Put these values in 1 we get,

=> Y = AX

=> Y = AX is a straight line passing through origin

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