In the two independent variable case the coefficient x1 repr

In the two independent variable case, the coefficient x1 represents the expected change in Selectyx1x2Item 1 corresponding to a one unit increase in Selectyx1x2Item 2 when Selectyx1x2Item 3 is held constant.

In the single independent variable case, the coefficient x1 represents the expected change in Selectyx1x2Item 4 corresponding to a one unit increase in Selectyx1x2Item 5 .

Could multicollinearity explain why the coefficient of x1 differs in the two models? Assume that x1 and x2 are correlated.
SelectYes, because a change in x1 would be accompanied by a change in x2Yes, because a change in x1 would not be accompanied by a change in x2

Solution

In the two independent variable case, the coefficient x1 represents the expected change in y corresponding to a one unit increase in x1 when x2 is held constant.

In the single independent variable case, the coefficient x1 represents the expected change in y corresponding to a one unit increase in x1.

Yes, because a change in x1 would be accompanied by a change in x2.