RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
r = +1 indicates a
A
perfect positive correlation.
B
perfect negative correlation.
C
high degree of positive correlation.
D
high degree of negative correlation.
Explanation: 

Detailed explanation-1: -The value of the number indicates the strengthof the relationship: r = 0 means there is no correlation. r = 1 means there is perfect positive correlation. r =-1 means there is a perfect negative correlation.

Detailed explanation-2: -When r = 1, it means that there is a perfect positive linear relationship between the variables, and all individuals sampled lie exactly on the line of best fit with a positive slope.

Detailed explanation-3: -A perfectly positive correlation means that 100% of the time, the variables in question move together by the exact same percentage and direction. A positive correlation can be seen between the demand for a product and the product’s associated price.

Detailed explanation-4: -Possible values of the correlation coefficient range from-1 to +1, with-1 indicating a perfectly linear negative, i.e., inverse, correlation (sloping downward) and +1 indicating a perfectly linear positive correlation (sloping upward).

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