If r=0.6 then the cofficient of correlation of non-determination is a)...
The coefficient of correlation of non-determination, also known as the coefficient of non-determination or the coefficient of alienation, is a measure of the proportion of the total variability in a dataset that is not explained by the correlation between the variables. It is calculated as the square of the correlation coefficient (r) subtracted from 1.
Formula: Coefficient of non-determination = 1 - r²
Given that r=0.6, we can calculate the coefficient of non-determination as follows:
Coefficient of non-determination = 1 - r²
= 1 - (0.6)²
= 1 - 0.36
= 0.64
Therefore, the answer is option (d), 0.64.
Explanation:
When r=0.6, it means that there is a positive correlation between the variables, but not a perfect one. The coefficient of non-determination tells us how much of the variability in the data cannot be explained by this correlation. In this case, the coefficient of non-determination is 0.64, which means that 64% of the variability in the data is not explained by the correlation between the variables. This could be due to other factors that are not included in the analysis or measurement error.
In summary, the coefficient of non-determination is a useful measure for understanding the limitations of the correlation coefficient and the extent to which it can explain the variability in the data.
If r=0.6 then the cofficient of correlation of non-determination is a)...