14.7. Correlation Coefficient

Try these first

1. 1.

   What is the range of the correlation coefficient?

   Hint

   Think about the extremes where one variable perfectly predicts the other.

2. 2.

   What does a correlation coefficient of 0 indicate?

   Hint

   Recall what happens when the two paths of the variables cross.

3. 3.

   What does a correlation coefficient of -1 represent?

   • Perfect positive correlation
   • Perfect negative correlation
   • No correlation

   Hint

   Think about the direction of the relationship.

4. 4.

   True or False: A correlation of 0 means there is a linear relationship.

   • True
   • False

   Hint

   Remember what correlation measures.

5. 5.

   Given that the correlation between study hours and test scores is 0.85, describe the implications for students' study habits.

   Hint

   Consider how focusing on study time could impact grades.

6. 6.

   If the correlation coefficient between two variables is calculated to be -0.3, discuss what this indicates about their relationship.

   Hint

   Reflect on what weak correlations mean for real-world interactions.