Test if there is a linear correlation between lengths of femurs (the bone the connects your knee to your hip) and the height of the person owning that femur. This data should consist of the upper leg length (femur) of an adult male (in inches) and the height of that adult male (in inches). Then, answer the following questions.

Shown below is a table of the data collected, the left number represents the length of the femur in inches and the right number represents the height of the person in inches.

Data:

23, 74

16, 68

21, 71

17, 65

19, 69

16, 65

14, 64

17, 67

19, 69

16, 66

Questions:

1. What does the scatterplot suggest about whether there is a linear correlation between these two variables (femur length and height)? Does there appear to be a linear correlation?

2. What is the value of the linear correlation coefficient (r)?

3. Is there a linear correlation? Why or why not?

4. What is the regression equation?

5. Should we use the regression equation to make predictions or the mean of the y values?

6. What is the best predicted height of an adult male with a femur length of 18.25 inches?

7. Name two ways your data could be biased and hence influence your results. (Hint: Think about how the data might have been collected, who was measured etc.)