STATISTICAL TECHNIQUES AND TOOLS
CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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any value larger than 1.
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closer to-1 if the correlation is negative.
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closer to 0 if the correlation is positive.
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none of these.
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Detailed explanation-1: -The closer r is to +1, the stronger the positive correlation is. The closer r is to-1, the stronger the negative correlation is. If |r| = 1 exactly, the two variables are perfectly correlated!
Detailed explanation-2: -All other values of r tell us that the relationship between x and y is not perfect. The closer r is to 0, the weaker the linear relationship. The closer r is to-1, the stronger the negative linear relationship. And, the closer r is to 1, the stronger the positive linear relationship.
Detailed explanation-3: -Correlations range from-1.00 to +1.00. 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.