Answer:
The Answer is below
Explanation:
The correlation coefficient for the linear regression of the data is a mathematical illustration, that describes the level of correlation in linear relationship between the two variables and the direction, which can either be positive or negative.
Give the sign of "r" depicts the direction of the relationship. Thus, if "r" is positive, as one variable increases, the other tends to increase, and if "r" is negative, as one variable increases, the other tends to decrease.
As such, r² is represented as the proportion of the total variance (s²) of Y, which in turn can be expressed by the linear regression of Y on x. Thus, 1-r² is the part that is not illustrated by the regression.