If you have multiple regression model with one quantitative and one binary quali

Question

If you have multiple regression model with one quantitative and one binary qualitative predictor with an interaction term you essentially have which of the following?

The same value of the response across all values of the quantitative predictor, irrespective of the qualitative predictor.

The same value of the response across all levels of the qualitative predictor, irrespective of the quantitative predictor.

The same rate of change of the response for each unit change in the quantitative predictor, irrespective of the qualitative predictor.

Different rate of change of the response for each unit change in the quantitative predictor, depending on the level of the qualitative predictor.

Explanation / Answer

Correct answer is below

Different rate of change of the response for each unit change in the quantitative predictor, depending on the level of the qualitative predictor.

since given that there is no information about linearity or perfect relation.

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