Which of the following exhibits a definite positive correlation?

A positive correlation indicates that as one variable increases, the other variable also tends to increase. The strength of the correlation is represented by a value between 0 and 1, with values closer to 1 indicating a stronger positive correlation.

The choice identifying a range of 0.8 to 1.0 reflects this characteristic, as both numbers are close to 1 and suggest a strong positive relationship between the two variables involved. In this context, a correlation of 0.8 signifies a substantial positive correlation, while a correlation closer to 1 indicates an even stronger relationship. This range demonstrates that changes in one variable are likely associated with consistent changes in the other variable in the same direction.

The other options contain lower correlation values, particularly in the ranges like 0.05 to 0.07 or the 0.2 to 0.9 range, which do not suggest a strong positive correlation. They either indicate a very weak relationship or an unclear association, lacking the strength necessary for a definite positive correlation as seen in the 0.8 to 1.0 range. Thus, the rationale for selecting the range of 0.8 to 1.0 lies in its representation of a clear and significant positive correlation.