Whilst the regression coefficient plots help to provide a possible interpretation of the relationship between the different model components and the predicted technology substitution classifications (discussed in section XX), it is also necessary to check the 'goodness-of-fit' measures associated with these results. As such, R-Squared, adjusted R-Squared, and F-ratio statistics are calculated (see section 9.4.1 and 9.4.2 of \cite{Ramsay_2009}) to assess the  overall fit of the high-dimensional functional linear regression model, as summarised in Table \ref{table:results_high_dimensional_model}: