Scenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220.

| | Age | Cholesterol level | Blood pressure | | Person 1 | 38 220 | 116 | | Person 2 | 41 | 225 | 120 | | Person 3 | 45 | 200 | 123 | | Person 4 | 48 | 190 | 131 | | Person 5 | 51 | 250 | 142 | | Person 6 | 53 215 | 145 | | Person 7 | 57 | 200 | 148 | | Person 8 | 61 | 170 | 150 |

Discussion Prompts

Respond to the following prompts

- Identify the explanatory variables and response variable for the data. - What is the multiple regression equation for the data? - What is the coefficient of determination? - If a person 50 years old with a cholesterol of 220 is selected, what is that person's predicted blood pressure reading? - a) What information does the coefficient of determination provide you? In other words, what does it explain about the variation? - B) Would you use the regression equation to predict the blood pressure reading of a person who is 20 years old? Why or why not? Think about the range of ages of the randomly selected participants.