Answer
See below
Work Step by Step
From part a, we have the scatter plot of $(x, \ln y)$.
We can see that the data doesn't fall neatly onto a single line.
Use the form: $\ln y-y_1=m(\ln x-x_1)$
Take two points: $(5,10.275);(19,14.947)$
Find the slope: $m=\frac{19.947-10.275}{12-5}\approx 0.3337$
Obtain: $\ln y-10.275=0.3337(\ln x-5)\\\ln y=0.3337\ln x+8.6065\\\ln y=\ln x^{0.3337x+8.6065}\\y=e^{8.6065}(e^{0.3337})^x\\y=5467(1.396)^x$
