RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The correlation coefficient, r is used to determine
A
y values given values of x.
B
x values given values of y.
C
the strength and direction of relationship between x and y.
D
none of these.
Explanation: 

Detailed explanation-1: -The sign of the linear correlation coefficient indicates the direction of the linear relationship between x and y. When r (the correlation coefficient) is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak.

Detailed explanation-2: -The correlation coefficient (expressed as r ) shows the direction and strength of a relationship between two variables. The closer the r value is to +1 or-1, the stronger the linear relationship between the two variables is.

Detailed explanation-3: -Definition: The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

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