Scenario 2:

A study on bone density at a local hospital produced the following results.

Table:

Age, x (in years):

34 | 43 | 49 | 51 | 65 |

Bone density, y (mg/cm):

946 | 875 | 804 | 723 | 691

1. What is the linear correlation coefficient? Round to three decimal places.
2. Is there a strong linear correlation? Show how you came to your conclusion. Use a=.01
3. What is the equation of the regression line? Round to the nearest whole number.
4. Should a linear model be used to predict the bone density for a 45 year old person? If so, calculate the bone density for a 45 year old person. If not, why?
5. Show how you obtained your answer in Questions 1-4 in the text box below. You can use a combination of mathematical statements (use the "Insert Math Equation" button to format your work) or explanations in English. It is preferable that you format your work similar to how you worked it out on paper. Partial credit can be given for this question but only for what is in the text box.