If the coefficient of determination is equal to 1 then the coefficient of correlation
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If the coefficient of determination is equal to 1 then the coefficient of correlation is -1 or, +1
Given: The value of the coefficient of determination is equal to 1.
To Find: We have to find the correlation coefficient's value.
Solution: We know,
the coefficient of determination = (correlation coefficient)²
When the value of the coefficient of determination is 1, then the value of the correlation coefficient can either be +1 or, -1.
The coefficient of correlation denotes the relationship between two variables, if the value of the coefficient is +1 then the variables have a positive relationship.
If the value of the coefficient is -1 then the variables have a negative relationship.
Hence, the value of the coefficient of correlation is +1 or, -1
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