In a watershed, the mean annual flood (Q) is considered to be dependent on area of watershed (A) and rainfall(R). The table gives the observations for 12 years. Obtain regression coefficients and R2 value.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Qincumec & 0.44 & 0.24 & 2.41 & 2.97 & 0.7 & 0.11 & 0.05 & 0.51 & 0.25 & 0.23 & 0.1 & 0.054 \\ \hline Ainhectares & 324 & 226 & 1474 & 2142 & 420 & 45 & 38 & 363 & 77 & 84 & 46 & 38 \\ \hline Rainfallincm & 43 & 53 & 48 & 50 & 43 & 61 & 81 & 68 & 74 & 71 & 71 & 69 \\ \hline \end{tabular} The regression model is as follows Q=1+2A+3R Check for optimal values of f(x)=3x36x2+4x7f(x)=9x212x+4f(x)=09x212x+4=0x0=2912144494=32 Only one solution exists