When fitting regression of Y on X for two groups, the slope and intercept within

Question

When fitting regression of Y on X for two groups, the slope and intercept within each group can be estimated either by fitting two simple regressions, or by fitting one multiple regression. If simple regressions are easier to interpret, why combine them into one multiple regression? Choose the correct answer below. A. O B. ° C. 0 D. Multiple regression produces stronger results than simple regression. Multiple regression has less stringent conditions than simple regression. Multiple regression allows for comparing intercepts and slopes between groups. Multiple regression allows for comparing interactions between the slope and intercept.

Explanation / Answer

The correct answer is A. Multiple regression produces stronger results than simple regression because

i) It increases the sample size by combining the two groups and give the relationship between the Y and X in these two group as a whole.

ii) It can analyze the mean change of Y by changing the group.

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