The linear equation for the transformed data in the antelope

The linear equation for the transformed data in the antelope example is ln y = 3.183 + .6595 ln x. x represents the diameter of the humerus and y represents the length. What would be the predicted diameter of a humerus if the length is 360.0 mm

Also what would be the predicted length of a humerus if the diameter is 35.0 mm?

Solution

As

ln y = 3.183 + 0.6594 ln x

As y = 360.0

ln 360.0 = 3.183 + 0.6594 ln x

5.886104031 = 3.183 + 0.6594 ln x

2.70310403 = 0.6594 ln x

ln x = 4.099338841

Thus,

x = 60.30040623 [ANSWER]