Question

In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0. It means that a. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.
b. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1. holding X2 constant.
c. the estimated mean of Y is 2 when XI equals zero.
d. the relationship between X1 and Y is significant

Answer 1

In multiple regression problem with two independent variables, value of one varible , b₁ is 2 then it means that the estimated mean of Y increases by 2 units for each increase of 1 unit of X₁, holding X₂ constant. So, second option is correct option.

Multiple Regression: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and multiple independent variables. The goal of multiple regression analysis is to use independent variables with known values to predict the value of each dependent value.

Y = b₁x₁+ b₂x₂ + … bₙxₙ + a

Here Y is the dependent variable, and X₁,…,Xₙ are the n independent variables. In calculating the weights, a, b₁,…,bₙ,

In the multiple regression b1 shows the coeffcient of independent variable X₁ in fitted model.

Here b₁ =+2.0 shows that for each unit increase in X₁, dependent variable Y is increased by 2 keeping other things constant.

To learn more about multiple regression analysis, refer:

brainly.com/question/22006328

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