The researchers find a statistically significant correlation

The researchers find a statistically significant correlation between Language_Before and Language_After (r = .67). One of the research assistants asks whether this means that language skills before the study caused language skills after the study. Is this interpretation accurate? Be sure to explain your response.

Solution

r =0.67 implies there is positive correlation between Language_Before and Language_After.

Also whenever r is near 0 there is weak correlation and r is near 1, strong correlation

Here r =0.67 above 0.50 and there is a significant relation between the two

Or this means that language skills before the study caused language skills after the study to the extent of 67%