RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Base your answer to the following question on the least square regression line:y = 3.12-0.79 * x The mean of the y-variable is 2.12. What is the mean of the x-variable?
A
1.27
B
1.45
C
1.68
D
1.69
Explanation: 

Detailed explanation-1: -Given a bivariate quantitative dataset the least square regression line, almost always abbreviated to LSRL, is the line for which the sum of the squares of the residuals is the smallest possible. The slope of the LSRL is given by m=rsysx, where r is the correlation coefficient of the dataset.

Detailed explanation-2: -The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

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