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When the relation between two variables x and y is not linear and if there exists a curvilinear relationship (which can be observed by means of a scatter plot between x and y), then one can perform curve fitting or polynomial regression between these two variables. To know the details as to how to perform curve fitting or polynomial regression between two variables x and y using r functions lm and poly, and the stopping criteria that can be followed, read the following article at the address given below: