Is econometrics just statistics applied to economics or is there also some deeper difference?
Econometrics is application of mathematics and statistics for the analysis of quantitative and qualitative economic data, in order to estimate various economic relationships, to test the correctness of economic theory and to make predictions regarding the evolution of economic phenomena.
Econometric analysis uses the functional relationships of economic theory and after converting them into mathematics; meaning after constructing a model, tries to assess empirically.
Econometrics is a combination economic theory, statistical theory and facts that aim to empirically test certain relationships between economic variables. While econometrics is a form of applied statistics, it has its own unique set of methods and techniques that are tailored to the study of economics.