Question

Is the Power law related to the straight line in the log-log plot?

(a) True

(b) False

This question was posed to me during an online exam.

My question comes from Graph Paper with Logarithmic Coordinates topic in chapter Presentation and Analysis of Data of Bioprocess Engineering

Answer 1

Correct answer is (a) True

The explanation is: A straight line on log-log graph paper corresponds to the equation:

Y = Bx^A

In y = In B + A In x

If A is positive, y = 0 when x = 0, If A is negative, when x = 0, y is infinite;

If the log-log graph paper is drawn so that the ordinate and abscissa scales are the same, i.e. the distance measured with a ruler for a 10-fold change in the y variable is the same as for a 10-fold change in the x variable, A is the actual slope of the line. A is obtained by taking two points (X1, Y1) and (X2, Y2) on the line, and measuring the distances between Y2 and Y1 and X2 and X1 with a ruler: