Hi all,

I am struggling to explain two of the variables in my regression (WeightedGT and TempDev), as they both include a squared term. The coefficient for both linear terms are negative while the squared terms are positive. How do I interpret this? Is it correct to say that the negative effect the variable has on Y will strengthen when the turning point is reached?

The WeightedGT variable measures the level of Google search activity for the company.
The TempDev is a variable of temperature deviation (how much temperature deviates from a 5 year average), hence it includes both positive and negative values. How is a variable that includes both negative and positive values interpreted in the coefficients?

Array

I have also used marginsplot to graph their relationship, see below:

WeightedGT:



The turning point for WeightedGT was calculated at: -51,249.


Temperature deviation:



The turning point for TempDev was calculated at: -0,974.

Please excuse me if this question is rather basic, I am new to regression analysis in general.

Thank you!