Researchers are interested in the relationship between BMI (kg/m2) and systolic
ID: 3233904 • Letter: R
Question
Researchers are interested in the relationship between BMI (kg/m2) and systolic blood pressure (mmHG). Suppose they hypothesize that there is a linear relationship between the two variables, and collect a SRS of participants in an observational study to test their assumption. Suppose the following table represents the sample with respect to the two variables.
BMI (kg/m2)
Systolic Blood Pressure (mmHG)
29.7
143
24.6
135
28.9
142
24.9
129
26.7
145
27.6
132
25.3
123
1. Create a regression equation expressing the relatioship between the variables and interpret the slope of the regression equation.
BMI (kg/m2)
Systolic Blood Pressure (mmHG)
29.7
143
24.6
135
28.9
142
24.9
129
26.7
145
27.6
132
25.3
123
1. Create a regression equation expressing the relatioship between the variables and interpret the slope of the regression equation.
Explanation / Answer
The regression equation expressing the relatioship between the variables is given by ,
Y = 5.1607 + 0.1597X
Interpretation of the slope of the regression equation is ,
If the Systolic Blood Pressure is increased by 1mmHG , then the BMI increases by the 0.1597 kg/m2
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