RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The coefficient of correlation
A
is the square of the coefficient of determination
B
is the square root of the coefficient of determination
C
. is the same as r-square
D
can never be negative
Explanation: 

Detailed explanation-1: -The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable. It indicates the level of variation in the given data set. The coefficient of determination is the square of the correlation(r), thus it ranges from 0 to 1.

Detailed explanation-2: -Coefficient of correlation is “R” value which is given in the summary table in the Regression output. R square is also called coefficient of determination. Multiply R times R to get the R square value. In other words Coefficient of Determination is the square of Coefficeint of Correlation.

Detailed explanation-3: -The coefficient of determination is a measurement used to explain how much the variability of one factor is caused by its relationship to another factor. This correlation is represented as a value between 0.0 and 1.0 (0% to 100%).

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