RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What does the value, r=-0.89, tell us about the linear relationship of two quantitative variables?
A
Strong positive
B
Weak positive
C
Strong negative
D
Weak negative
Explanation: 

Detailed explanation-1: -The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from-1 to 1. A correlation coefficient of-1 describes a perfect negative, or inverse, correlation, with values in one series rising as those in the other decline, and vice versa.

Detailed explanation-2: -The correlation coefficient r is a unit-free value between-1 and 1. Statistical significance is indicated with a p-value. Therefore, correlations are typically written with two key numbers: r = and p = . The closer r is to zero, the weaker the linear relationship.

Detailed explanation-3: -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.

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