1.1.5. Correlation and Regression

Try these first

1. 1.

   What is correlation?

   Hint

   Think about how two things can go up or down together.

2. 2.

   What range does the correlation coefficient fall into?

   Hint

   What are the extremes of these values?

3. 3.

   What does a correlation coefficient of -0.5 indicate?

   • A perfect positive correlation
   • A moderate negative correlation
   • No correlation

   Hint

   Remember what the sign of the correlation coefficient indicates.

4. 4.

   True or False: A regression model can only predict outcomes for the data used to create it.

   • True
   • False

   Hint

   Consider the limitations of models.

5. 5.

   Using a dataset of ice cream sales and temperature records over a summer, derive a regression equation to predict ice cream sales based on temperature. Test your model's predictions with new temperature data.

   Hint

   Use software or a graphing calculator for regression analysis.

6. 6.

   You are analyzing two variables: the amount of regular exercise and cholesterol levels in a sample. Find the correlation and discuss what this might imply about their relationship.

   Hint

   Consider health advice and statistics on exercise effects on health.