Final answer:
The statement that a positive slope of a regression line indicates a positive correlation is true. The correlation coefficient will be positive, and it reflects that as one variable increases, so does the other.
Step-by-step explanation:
If the slope of a regression line is positive, the correlation between the two variables it represents is also positive. This statement is true. The slope indicates the direction of the relationship between the independent variable (x) and the dependent variable (y). Specifically, a positive slope means that as the value of x increases, the value of y tends to increase, and as x decreases, y tends to decrease. This is the definition of a positive correlation. The correlation coefficient, denoted by 'r', will also have a positive value in this case. However, a positive correlation does not necessarily imply health benefits to the variable under investigation. It only describes the relationship direction between the two variables. Moreover, it is important to note that correlation does not imply causation. Therefore, whether a positive correlation indicates benefit, detriment, or no effect on health requires further context-specific investigation.