From the data for $46$ states in the United States for $1992,$ it is obtained the following regression results:

InC$=4\mathrm{.}30-134lnP+0\mathrm{.}17ln$

$\frac{5c}{R^2}=(0\mathrm{.}91)(0\mathrm{.}32),(0\mathrm{.}20)$

income per capita.

a$.$ What is the elasticity of demand for cigarcttes will respect to price? Is it alatidically significaut? Is it statistically bigger than $1$ at $0\mathrm{.}05$ significance level?

b$.$ Compute e $95\%$ interval cstimate for the price clasticity of deMand.

c$.$ Discuss the overall significance of the model with necesary F ratio calculations at onf significance level.