I am doing an single linear regression analysis of a sample of 210 observations that was randomly selected from an excel file. The dependent variable has many zero values keeps generating such graphs that are by no means normal.

Can I keep using these graphs?

The response variable is Area. I tried to apply a transformation and created a new variable: AdjArea = Log(Area+1) as the new dependent variable.

I applied the same transformation for the independent variable of RH. The new independent variable is AdjRH = Log(RH+1). There is always a horizontal line generated from the zero values of the dependent variable.

As an alternative way to solve the problem, will it be acceptable for me to separate the data set into two parts, where one part only has non-zero response variables and the other part has only zero-value response variables?

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