The accompanying table relates the weight C of the large claw of a fiddler crab to the weight W of the rest of the crab’s body, both measured in milligrams (mg).

a. For each data point (W, C) in the table, plot the point (ln W, ln C) on a graph. Note that the scatter diagram suggests that y = ln C and x = ln W are linearly related.

b. Find the least-squares line y = mx + b for the data (ln W, ln C) you obtained in part (a).

c. Find positive numbers a and k so that C = aW^k.

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Weight W (mg) of the body Weight C (mg) of the claw 57.6 109.2 199.7 300.2 355.2 420.1 535.7 743.3 5.3 13.7 38.3 78.1 104.5 135.0 195.6 319.2