Final answer:
It indicates a perfect statistical relationship between two variables because a correlation coefficient of 1 represents a perfect positive linear relationship between the variables. Therefore,the correct Option is Option b. 1
Step-by-step explanation:
The correlation coefficient measures the strength and direction of the relationship between two variables. A correlation of 1 or -1 signifies a perfect linear relationship. A correlation of 1 means a perfect positive relationship, where an increase in one variable results in a proportional increase in the other.
Conversely, a correlation of -1 indicates a perfect negative relationship, where one variable increases as the other decreases, following a precise linear pattern. In this scenario, a correlation of 1 represents a perfect statistical relationship between the variables, indicating a strong positive linear association.
To calculate correlation, divide the covariance of the two variables by the product of their standard deviations. A correlation coefficient of 1 signifies that the variables move perfectly in tandem with each other, while -1 means they move perfectly in opposite directions. Correlation values of 100 or -100 are beyond the range of the correlation coefficient (-1 to 1), likely indicative of a different form of measurement or calculation.
Therefore,the correct Option is Option b. 1