In a multiple regression analysis,the least squares prediction equation is computed as $\hat { y }$
= 84.2 + 6.3x₁ - 9.4x₂.If we hold x₂ constant and increase x₁ by 2 units,what is the estimated change in the mean value of y?

Question

In a multiple regression analysis,the least squares prediction equation is computed as

\hat { y }

= 84.2 + 6.3x₁ - 9.4x₂.If we hold x₂ constant and increase x₁ by 2 units,what is the estimated change in the mean value of y?

Quizplus · Accepted Answer

The coefficient of $x_1$ is 6.3, indicating that for each unit increase in $x_1$, $y$ increases by 6.3 units. Increasing $x_1$ by 2 units results in an increase of $2 \times 6.3 = 12.6$ in $y$.

In a Multiple Regression Analysis,the Least Squares Prediction Equation Is y^\hat { y }y^​

In a Multiple Regression Analysis,the Least Squares Prediction Equation Is $\hat { y }$