Question

A nurse is interested in whether there is a relationship between daily levels of stress and likelihood of a heart attack. The stress scores (predictor variable) and risk of heart attack values (criterion variable) from a small sample of participants are depicted below.

Stress Score                                Risk of Heart Attack
(Higher values = more stress)     (Higher values = greater risk)
     
  1                                                     9
      5                                                     8
      2                                                     6
      5                                                     8

Set up the regression equation and use to predict the risk of heart attack for a person with a stress score of 3. The risk of heart attack predicted for a person with a stress score of 3 is?

Answer 1

The regression equation is:

where X is the independent variable and Y is the dependent variable.

and

In the given question,

stress score is independent (X) while the risk of heart attack is the dependent variable (Y)

1	9	1	81	9
5	8	25	64	40
2	6	4	36	12
5	8	25	64	40

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Thus, the regression equation is as:

Thus, the predicted risk of heart attack at a stress score of 3 is:

NOTE: The value after decimal place may differ due to decimal rounding.

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