non normal distribution and regression


If the distribution of y variable is not normal. (skewness equal to 1.1 and kurtosis to 8.2) can i run a simple linear regression of the y on x variables?
In linear regression we assume that the residuals are normally distributed. You can run the regression, then check model adequacy by a normal probability plot of the residuals, and plotting residuals vs. fitted value etc.

Linear regression is fairly robust with respect to the normality assumption.