Question

f. the percentage change in going from y1 to y2 if log y1 = 1.82 and...

f. the percentage change in going from y1 to y2 if log y1 = 1.82 and loge y2 = 1.79

g. the percentage point change in the unemployment rate when the rate goes from 6% to 9%

i. the percentage change in X when X goes from 2 to 0

j.  the percentage change in X when X goes from 0 to k, where k is a number greater than zero

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Answer #1

Answer (f) 90.93467%

Explanation

Given

Log y1 = 1.82

This means that log has a base of 10

Taking Antilog of Y1 we get

Y1= 66.0693

Also,

Loge Y2 = 1.79

This means that log has base a of exponential (e)

Taking Antilog of Y2 we get

Y2 = 5.9894

Percentage from Y1 to Y2 = ((Y2- Y1)/Y1)*100

= ((5.9894 - 66.0693)/ 66.0693)*100

= -90.9347%

(g) Percentage point change is 9%-6% = 3%

  1. -100%

Percentage change in X when X goes from 2 to 0

= (( 0-2)/2)*100

= -100%

  1. Not defined

Percentage change when X goes from 0 to k is

= ((k-0)/0)*100

Above ratio can not be calculated since denominator is 0

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