Question
First, read the scenario. Then, you will answer the prompts below. You may calculate the multiple regression line and coefficient of determination by hand. Or,
First, read the scenario. Then, you will answer the prompts below. You may calculate the multiple regression line and coefficient of determination by hand. Or, you may use one of the online calculators provided.
- Social Science Statistics Multiple Regression Calculator(Links to an external site.)
- Stats Blue Multiple Regression Calculator(Links to an external site.)
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 in your initial post:
- 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?
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