Econometrics literally means 'economic measurement'. It is a combination of mathematical economics, statistics, economic statistics and economic theory.
The two main purposes of econometrics are to give empirical content to economic theory and also to empirically verify economic theory. For example, econometrics could empirically verify if indeed a given demand curve slopes downward as economic theory would suggest. Empirical content is also given in that a numerical value would be given to this slope, while economic theory alone is usually mute on actual specific values.
Economic base analysis was developed by Robert Murray Haig in his work on the Regional Plan of New York in 1928. Briefly, activities in an area divide into two categories basic and non-basic. Basic industries are those exporting from the region; non-basic (or service) industries support basic industries. Because of data problems, it is not practical to study industry output and trade flows to and from a region. As an alternative, basic and non-basic concepts are operationalized using employment data.
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