A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker. *image for data* Using age, blood pressure, and whether a person is a smoker, develop an estimated regression equation that can be used to predict risk. Use x1 for age, x2 for blood pressure, and x3 for whether a person is a smoker. (Round your constant term to one decimal place and coefficients to three decimal places.)

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A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker.

*image for data*

Using age, blood pressure, and whether a person is a smoker, develop an estimated regression equation that can be used to predict risk. Use x1 for age, x2 for blood pressure, and x3 for whether a person is a smoker. (Round your constant term to one decimal place and coefficients to three decimal places.)

 

The table below provides data on individuals, detailing their risk score, age, blood pressure, and smoking status.

| Risk | Age | Blood Pressure | Smoker |
|------|-----|----------------|--------|
| 12   | 57  | 152            | 0      |
| 24   | 67  | 163            | 0      |
| 13   | 58  | 155            | 0      |
| 56   | 86  | 177            | 1      |
| 28   | 59  | 196            | 0      |
| 51   | 76  | 189            | 1      |
| 18   | 56  | 155            | 1      |
| 31   | 78  | 120            | 0      |
| 37   | 80  | 135            | 1      |
| 15   | 78  | 98             | 0      |
| 22   | 71  | 152            | 0      |
| 36   | 70  | 173            | 1      |
| 15   | 67  | 135            | 1      |
| 48   | 77  | 209            | 1      |
| 15   | 60  | 199            | 0      |
| 36   | 82  | 119            | 1      |
| 8    | 66  | 166            | 0      |
| 34   | 80  | 125            | 1      |
| 3    | 62  | 117            | 0      |
| 37   | 59  | 207            | 1      |

### Explanation of Terms:
- **Risk**: A numerical score representing the individual's risk level for a specific condition or event.
- **Age**: The age of the individual in years.
- **Blood Pressure**: The systolic blood pressure measurement in mmHg.
- **Smoker**: Indicates whether the individual is a smoker (1) or non-smoker (0).

This dataset can be used to analyze the relationship between age, smoking status, blood pressure, and the associated risk scores.
Transcribed Image Text:The table below provides data on individuals, detailing their risk score, age, blood pressure, and smoking status. | Risk | Age | Blood Pressure | Smoker | |------|-----|----------------|--------| | 12 | 57 | 152 | 0 | | 24 | 67 | 163 | 0 | | 13 | 58 | 155 | 0 | | 56 | 86 | 177 | 1 | | 28 | 59 | 196 | 0 | | 51 | 76 | 189 | 1 | | 18 | 56 | 155 | 1 | | 31 | 78 | 120 | 0 | | 37 | 80 | 135 | 1 | | 15 | 78 | 98 | 0 | | 22 | 71 | 152 | 0 | | 36 | 70 | 173 | 1 | | 15 | 67 | 135 | 1 | | 48 | 77 | 209 | 1 | | 15 | 60 | 199 | 0 | | 36 | 82 | 119 | 1 | | 8 | 66 | 166 | 0 | | 34 | 80 | 125 | 1 | | 3 | 62 | 117 | 0 | | 37 | 59 | 207 | 1 | ### Explanation of Terms: - **Risk**: A numerical score representing the individual's risk level for a specific condition or event. - **Age**: The age of the individual in years. - **Blood Pressure**: The systolic blood pressure measurement in mmHg. - **Smoker**: Indicates whether the individual is a smoker (1) or non-smoker (0). This dataset can be used to analyze the relationship between age, smoking status, blood pressure, and the associated risk scores.
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The previous multiple regression model is significant to what level?

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How much does the risk increase for each year of age advance?

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What is the most significant independent variable? 

Smoker

Age 

Blood Pressure

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