The above graph illustrates a polynomial variation between the transmittance of the extract of the sample against the % concentration of the pectinase. It is clearly observed that as the % concentration of pectinase increases, the transmittance of the solution decreases. The decrease is exponential from the control value of 49.7 to 21.3; indicating that the dependence of yield of apple juice extracted is exponentially dependent on the % concentration of pectinase.

The best fit polynomial plot follows the equation:

y = 0.037 x^{2} – 2.178 x + 49.81

Where y= transmittance of the solution x = % concentration of pectinase

Calculation of maxima & minima

y = 0.037x^{2} -2.178x + 49.81

dy/dx = 0.074 x – 2.178

d^{2}y/dx^{2} = 0.074

Since, d^{2}y/dx^{2} is negative, the curve has a minima but not a maxima At minima,

dy/dx = 0

0.074 x – 2.178 = 0

x = 2.178 / 0.174 = 29.43 9

This indicates that the transmittance of the solution will have minimum value if the concentration of the enzyme used is 29.43%. It clearly indicates and coherently proves that the yield of apple juice extracted will have maximum value when the concentration of the enzyme used is 29.43%.

The value of correlation coefficient(R^{2}) 0.999 indicates a strong negative correlation between the transmittance value and the % concentration of cellulase.

Analysis of mean value and standard deviation: