Researchers collected data regarding the blood pressure of 20 individuals. For each individual, they recorded the blood pressure (mm Hg), age (years), weight (kg), body surface area (m2), duration of hypertension (years), pulse (beats/min) and a stress index. The data is listed below. The researchers are interested in whether a relationship exists between blood pressure and any (or all) of the factors recorded. The problem examines different levels of regression fits starting with multiple items (model 1) and moving to fewer items. You may use Minitab and any a. Model 1: Determine a multiple regression fit to the data using all terms to first order, and weight and age to second order. Also include the interaction of weight and age.
b. Model 2: Determine a multiple regression fit to the data using all terms to first order.
c. Model 3: Determine a multiple regression fit to the data using only age, weight, duration and stress.
d. Model 4: Determine a multiple regression fit to the data using only age,
e. Complete the table below. Comment on what the three "values represent.
f. Which of the models would you recommend as the best "fit" for the data?
Include a discussion of the "VIF" values and how these values help select the recommended model NumberAgeWeightBSA Duration PulsStress 854 5 4994.2·10 l10 S42.001 894 1.89 48 40 72 2I L 10 40 8183 顔; 92.Y ½.W/ 13 591.62010 4587-1 192 52 1013 2.19 46 94.5 1.0 114 87.O 1.8 113 46190 48905 ! 695. 2.09 71 Model