Based on the equation: Yhat = 2.306 + 3.7X1 -2.9X2, how would you interpret the

Question

Based on the equation: Yhat = 2.306 + 3.7X1 -2.9X2, how would you interpret the slope for X2?

When X2 = 1, Yhat = -2.9, when controlling for X1.

For every -2.9 change in X2, Yhat increases by 3.7, when controlling for X1.

For every 1 unit increase in X2, Yhat increases by 2.306, when controlling for X1.

When X2 = 1, Yhat = 3.7, when controlling for X1.

For every 1 unit increase in X2, Yhat decreases by 2.306, when controlling for X1.

For every 1 unit increase in X2, Yhat decreases by 2.9, when controlling for X1.

When X2 = 1, Yhat = -2.9, when controlling for X1.

For every -2.9 change in X2, Yhat increases by 3.7, when controlling for X1.

For every 1 unit increase in X2, Yhat increases by 2.306, when controlling for X1.

When X2 = 1, Yhat = 3.7, when controlling for X1.

For every 1 unit increase in X2, Yhat decreases by 2.306, when controlling for X1.

For every 1 unit increase in X2, Yhat decreases by 2.9, when controlling for X1.

Explanation / Answer

Option - B

As we have two controlling factors X1 and X2 and hence we have two slopes. Slope of X1 can increase Yhat as it is +3.7 and slope of X2 can decrease Yhat as it is -2.9 .

Therefore too interpret both the slopes toghether we can say , " For every -.2.9 change in X2, yhat increases by 3.7 when controlling factor is X1". i.e Option B.

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