73.1k views
4 votes
Consider the following model: yhat =5+3 * x The prediction of y is yhat. What is the estimated marginal effect of x on y when x=2 ?

1 Answer

4 votes

Final answer:

The estimated marginal effect of x on y in the model yhat = 5 + 3 × x is 3. This means for every one-unit increase in x, yhat increases by 3 units, regardless of the specific value of x.

Step-by-step explanation:

The estimated marginal effect of x on y in the model yhat = 5 + 3 × x is the coefficient of x, which is 3.

This means that for each one-unit increase in x, yhat (the predicted value of y) is expected to increase by 3 units.

When x = 2, the particular value of x does not change the marginal effect, as it is constant in a linear model.

Therefore, the estimated marginal effect of x on y when x=2 is still 3.

User JoeAndrieu
by
7.7k points