Respuesta :
If x₁ is increased by 1 unit, holding x₂ constant, y is expected to increase by 2 units, hence option B is correct.
What is multiple regression?
A single dependent variable and several independent variables can be analysed using the statistical technique known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
Given, the expression for multiple regression model is:
y = 7 + 2x₁ + 9x₂
Comparing with the original linear equation, y = mx, where m is the slope, we get
Slope for x₁ = 2
Slope for x₂ = 9
Therefore, if x₁ is increased by 1 unit, holding x₂ constant, y is expected to increase by 2 units, hence option B is correct.
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y is expected to increase by 2 units.
How to calculate the increase/decrease in y?
given:
multiple regression model =
Y = 7 + 2x1 + 9x2
solution:
So, here coefficient of x 1 is 2 this means that as x 1 increases by 1 unit holding x 2 constant , y is expected to increase by 2 units.
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complete question:
A multiple regression model has the form Y = 7 + 2x1 + 9x2
As x1 increases by 1 unit (holding x2 constant), y is expected to O a. increase by 2 units O b. increase by 9 units O c. decrease by 9 units O d. decrease by 2 units
