Consider a multiple regression model that attempts to predict the dependent variable $Y$ (e.g., stock returns) using two independent variables $X_1$ (e.g., company earnings) and $X_2$ (e.g., market index returns).
The regression output indicates that the coefficient for $X_1$ is 0.8, and the coefficient for $X_2$ is -0.5. This suggests that, holding $X_2$ constant, a unit increase in $X_1$ is expected to result in an increase in $Y$ by 0.8 units, while a unit increase in $X_2$ results in a decrease in $Y$ by 0.5 units, holding $X_1$ constant.
Based on this information, which of the following statements about the coefficients is true?