Question

Suppose we calculate the correlation between two quantitative variables (X and Y) as 0.7. Based on this information alone, what can we conclude about the relationship between X and Y? If X increases by 1 unit we expect Y to increase by about 0.7 units.

A.If X increases by 1 unit we would expect Y to increase, but we do not have a specific estimate of how much.
B. If X increases by 0.7 units we expect Y to increase by about 1 unit.
C.If X increases by 1 unit we do not expect any change in Y, the correlation indicates there is not a relationship.

Answer 1

The correlation coefficient of 0.7 indicates a strong positive relationship between X and Y. For every 1 unit increase in X, we would expect Y to increase by about 0.7 units.

Step-by-step explanation:

The correlation coefficient measures the strength and direction of the relationship between two quantitative variables. In this case, a correlation coefficient of 0.7 indicates a strong positive relationship between X and Y. This means that as X increases, we can expect Y to also increase. Specifically, for every 1 unit increase in X, we would expect Y to increase by about 0.7 units. Therefore, the correct answer is option B: If X increases by 0.7 units, we expect Y to increase by about 1 unit.