RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MULTIPLE REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In the multiple regression model y = b 0 + b 1x1 + b 2x2 + b 3x3 + e, the b coefficients of the x variables are called partial regression coefficients.
A
True
B
False
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -The formula for regression coefficients is given as a = n(∑xy)−(∑x)(∑y)n(∑x2)−(∑x)2 n ( ∑ x y ) − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 and b = (∑y)(∑x2)−(∑x)(∑xy)n(∑x2)−(∑x)2 ( ∑ y ) ( ∑ x 2 ) − ( ∑ x ) ( ∑ x y ) n ( ∑ x 2 ) − ( ∑ x ) 2 .

Detailed explanation-2: -A regression coefficient in multiple regression is the slope of the linear relationship between the criterion variable and the part of a predictor variable that is independent of all other predictor variables.

Detailed explanation-3: -b1, b2, and b3 are often called regression coefficients, because they multiply the values of the X’s in the regression equation. As in simple regression, we do not mean that we literally change our data by adding to the X values; our sample data do not change.

There is 1 question to complete.