A multiple regression model has the form ? $\hat { y }$ = 7 + 2 x₁ + 9 x₂ ? As x₁ increases by 1 unit (holding x₂ constant), $\hat { y }$ is expected to _____. A) increase by 9 units B) decrease by 9 units C) increase by 2 units D) decrease by 2 units

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In a multiple regression model, the coefficient in front of a variable indicates how much the dependent variable ($\hat { y }$) is expected to change for a one-unit increase in that variable, holding all other variables constant. In this case, as $x_1$ increases by 1 unit (holding $x_2$ constant), $\hat { y }$ is expected to increase by 2 units, which corresponds to the coefficient in front of $x_1$.

A Multiple Regression Model Has the Form y^\hat { y }y^​

A Multiple Regression Model Has the Form $\hat { y }$