16.3. Correlation

Try these first

1. 1.

   Define correlation in your own words.

   Hint

   Think about how one variable might predict the other.

2. 2.

   What does a correlation of -0.5 indicate?

   Hint

   Recall the interpretation ranges.

3. 3.

   What is the range of correlation values?

   • 0 to 1
   • -1 to 1
   • -∞ to ∞

   Hint

   Remember that correlation measures both direction and strength.

4. 4.

   True or False: A correlation of 0.5 indicates a strong positive correlation.

   • True
   • False

   Hint

   Think of the interpretation ranges.

5. 5.

   In a research study, it's found that the correlation coefficient between study hours and exam scores is 0.85. What does this imply about their relationship? Provide a real-world interpretation of this coefficient.

   Hint

   Reflect on how strong correlations typically suggest prediction accuracy.

6. 6.

   Consider a dataset where the correlation between the amount of rainfall and the number of umbrellas sold is found to be 0.76. Discuss whether you would conclude that rainfall causes umbrella sales to increase.

   Hint

   Think about external conditions that could also affect the outcome.