For positive variables x x\,x and yyy, the correlation coefficient between lnx \ln x\,lnx and lny \ln y\,lny is 0.992. The regression line is lny=1.80+0.650lnx\ln y=1.80+0.650\ln xlny=1.80+0.650lnx.
Explain why the data support a power model for y y\,y in terms of xxx.
Use the fitted regression line to estimate y y\,y when x=4x=4x=4. Give your answer to 3 significant figures.