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To test whether there is significant relationship between physical activity level and systolic pressure, adjusting for body mass index and smoking history using Multiple-Regression Analysis.

To access the relationships between various factors and systolic blood pressure, data were collected on 400 subjects. Systolic blood pressure (dependant variable, measured in mmHg) was regressed on body mass index (BMI, continuous, in Kg/m2), physical activity level (ACTIV, coded 1 for active lifestyle, 0 for sedentary lifestyle), and smoking history (never smoked, ex-smoker, or current smoker), which was coded as follows:

Analysis of Variance
Source	DF	Sum of Squares	Mean Square	F Value	Pr > F
Model	4	4168.60	1042.15	3.23	0.0126
Error	395	127545.02	322.9
Corrected Total	399	131713.62

 

Variable	DF	Parameter Estimate	Type I SS	Type II SS
Intercept	1	118.393	7196208.63	81471.60
BMI	1	0.600	1791.00	1519.39
ACTIV	1	-5.279	2122.54	1978.36
SMK_EX	1	1.555	3.36	111.86
SMK_CU	1	1.971	251.70	251.70

Hint: Of parts (a), (b), and (c) below, one is solved using variables-added-in-order sums of squares, and two are solved using variables-added-last sums of squares.
a) Test the significance of the relationship between body mass index and systolic blood pressure, adjusting for physical activity level and smoking history. Interpret.
b) Test the significance of the relationship between physical activity level and systolic blood pressure, adjusting for body mass index and smoking history. Interpret.
c) Test the significance of the relationship between smoking history (overall) and systolic blood pressure, adjusting for body mass index and physical activity level. Interpret.

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