Question

Brett’s teacher observed Brett’s 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

Answer 1

Answer:

• positive correlation, likely causal

Explanation:

Correlation and causation are different.

Correlation means that the variables are related, meaning that when one changes the other also change. A positive correlation means that the variables change in the same way: when one increases the other also increases, and when one decreases the other also decreases. A negative correlation means that the variables change in opposite directions, i.e. when one increases the other decreases.

The correlations may be strong, moderated or weak. The correlation coefficient tells how strong the correlation is. The correlation coefficient may take values from - 1 to + 1.

A negative 1 correlation coefficient means a perfect negative correlation. A positive 1 correlation coefficient means a perfect positive correlation. Thus, in this case Brett's teacher found that the correlation coefficent was r = 0.97. That is pretty close to 1, and means that this is a strong positive correlation.

About causation, you only may feature a relationship as causal if one variable is the reason why the other variable changed in the way it did it. In this case, it is very reasonable to attribute a causation relationship between the minutes Brett stayed on task in class and the grade he earned on the homework that night, because the more Brett worked in class the better prepared he should be to do his homework, and that idea is reinforced by the high positive correlation coefficient r = 0.97. That is why you can assert that the teacher must have discored a positive correlation, likely causal.

Answer 2

Answer:

positive correlation, likely causal

Step-by-step explanation: