If the coefficient of determination is 1, then the correlation coefficient ___. Group of answer choicescan be either -1 or +1can be any value between -1 to +1must be -1must also be equal to 1

The correlation coefficient can be either -1 or +1.

Here's why:

The coefficient of determination, also known as R-squared, is a statistical measure that shows the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.

When the coefficient of determination is 1, it means that 100% of the variance in the dependent variable is accounted for by the model. In other words, the model perfectly predicts the dependent variable.

The correlation coefficient, on the other hand, measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1. A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other. A correlation coefficient of -1 means that for every positive increase in one variable, there is a negative decrease of a fixed proportion in the other.

So, if the coefficient of determination is 1, the correlation coefficient can be either -1 or +1, depending on whether the relationship is perfectly negative or perfectly positive.