A multiple regression model has the form: As x2 increases by 1 unit, holding constant x1, then the value of ywill increase by: ŷ=5.25 +2.5x©û+4x ©ü?
In the given multiple regression model, the equation is represented as ŷ = 5.25 + 2.5x₁ + 4x₂. This means that the predicted value of y (ŷ) is a function of two independent variables, x₁ and x₂.
Now, let's analyze the given statement: "As x₂ increases by 1 unit, holding constant x₁, then the value of y will increase by _______?"
To determine the effect of increasing x₂ by 1 unit while keeping x₁ constant, we need to examine the coefficient of x₂ in the regression equation. In this case, the coefficient of x₂ is 4.
Thus, for every 1 unit increase in x₂, while x₁ is held constant, the value of y (ŷ) will increase by 4 units.
Therefore, as per the given multiple regression model, the value of y will increase by 4 units when x₂ increases by 1 unit while holding x₁ constant.