Feature Selection in Linear Regression I have a insurance dataset as given below. For which I need to build a model to calculate the charges.

   age     sex     bmi  children smoker     region      charges
0   19  female  27.900         0    yes  southwest  16884.92400
1   18    male  33.770         1     no  southeast   1725.55230
2   28    male  33.000         3     no  southeast   4449.46200
3   33    male  22.705         0     no  northwest  21984.47061
4   32    male  28.880         0     no  northwest   3866.85520


But I am not sure whether the column "region" can be dropped. Is there any test can be performed to consider only significant variables?
First, transform your columns, then apply linear regression, but do you want to know about the influence of your features on your selected dependent variable?

Read this article: http://www.ritchieng.com/machine-learning-evaluate-linear-regression-model/

It provides great insight at how interpret the coefficients given by the algorithm can be interpreted and further discussed or tweaked.
Read it, then come here for further doubts, you're more than welcomed to do so.