In a hypothetical situation where I have 3 independent variables and one of those variables has a non-linear relationship(exponential) with the dependent variable and the other two independent variables are linearly related to the dependent variable. In such a case, what would be the best approach for running a regression analysis? Considering I tried transforming the one non-linear independent variable.
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You mean something like `Y = a + b*X1 + c*X2 + d*exp(X3)`? That would be a *linear* regression since the variables are the parameters which enter linearly. – Stefan Zobel Jun 29 '17 at 15:10
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Thank you Stefan. Although my confusion was, for an exponential relationship, polynomial regression is a good approach since it fits the parabolic nature of the relationship curve between dependent and independent variable. Would running a multiple linear regression still be a good idea? – Pradeep Yadav Jun 29 '17 at 16:35
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Please write down your regression equation so that I and others can understand what you are asking. – Stefan Zobel Jun 29 '17 at 17:05