For positive variables x x\,x and yyy, the correlation coefficient between x x\,x and log10y\log_{10}ylog10y is 0.980. The regression line is log10y=2.60+0.127x\log_{10}y=2.60+0.127xlog10y=2.60+0.127x.
Explain why the value 0.980 supports an exponential model for y y\,y in terms of xxx.
Find the model in the form y=abxy=ab^xy=abx, giving a a\,a and b b\,b to 3 significant figures.