The following data is expected to follow the law y = 1.439 + 0.0826x + 0.046x 2 . Calculate the index of correlation. How good is the fit? What is the number of degrees of freedom? What is the...

The following data is expected to follow the law y = 1.439 + 0.0826x + 0.046x².

Calculate the index of correlation. How good is the fit? What is the number of degrees of freedom? What is the standard error of fit with respect to data? What would be the correlation coefficient if the data were to be fit using a linear law? Compare this with the index of correlation calculated above and make a suitable comment.