\[R^2=1-\frac{SS}{SS_{mean}}\]
where \(R^2\) is R-squared, a measure of goodness of fit of model
\(SS\) = sum of squares of residuals
residual = measured value -calculated value
\(SS_{mean}\) = sum of squares of (measured value – mean)
mean = average value of the dependent variable measured
degrees of freedom = number of measurements – number of parameters
Arrhenius expression format from regression to determine activation energy
\[k = k_{0}e^{-\frac{E}{R}(\frac{1}{T}-\frac{1}{T_{0}})}\]
where \(k\) = rate constant
\(k_{0}\) = rate constant at temperature \(T_{0}\)
\(E\) = activation energy
\(R\) = gas constant
\(T\) = temperature (K)
\(T_{0}\) = temperature in middle of temperature range where data obtained