Question

Q. If the coefficient of determination is equal to 1, then the correlation coefficient -

1- must also be equal to 1
2- can be either -1 or +1
3- can be any value between -1 to +1
4- must be -1

PLS ANSWER AS IT IS URGENT PLEASEAND THE ANSWER WHICH WOULD BE CORRECT I WILL MARK AS BRAINLIEST​

Answer 1

If the coefficient of determination is equal to 1, then the correlation coefficient can be either -1 or +1

What is correlation co-efficient?

• As the name suggests "correlation", determines the relation between two variables.

• When the correlation coefficient is  +1, it indicates a positive relationship between the two variables, when the value of the correlation coefficient is -1, it shows a negative relationship. However, zero shows no relationship at all.

Why correlation coefficient can be either -1 or +1 when the coefficient of determination is equal to 1?

• Since, the coefficient of determination is square of the correlation coefficient, when the value of coefficient of determination is 1 the value of correlation coefficient can either be -1 or +1.

• As, (-1)²=1  and (+1)²=1

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