Question

interpreting the strength of correlation
bretts teacher observed bretts behavior in class for a week and compared the minutes he stayed on task in class to the grade he earned on the homework that night. she found that the correlation coefficient was $r = 0.97$.
what type of relationship has his teacher discovered?
positive correlation, likely causal
positive correlation, not likely causal
negative correlation, likely causal
negative correlation, not likely causal

Explanation:

A correlation coefficient \( r = 0.97 \) is close to \( 1 \), indicating a strong positive correlation. When a student stays on - task longer in class (one variable), it is likely to cause a better grade on homework (the other variable). There is a cause - and - effect relationship here.

Answer:

positive correlation, likely causal