Using the data given in Problem 2 in Chapter 5 (with SBP as the dependent variable) and the accompanying computer output, find the best regression model, using α = .05 and the independent variables AGE, QUET, and SMK as follows.
a. Use the forward approach.
b. Use the backward approach.
c. Use the all possible regressions approach.
d. Based on your results in parts (a) through (c), select a model for further analysis to determine which, if any, of the following interaction (i.e., product) terms should be added to the model: AQ = AGE × QUET, AS = AGE × SMK, QS = QUET × SMK, and AQS = AGE × QUET × SMK.
Regression Models for Dependent Variable: SBP
SSY = 6425.97, N = 32
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Number irn Model R-Square C(p) MSE 85.47795 AGE 96.26743 QUET Variables in Model 0.6009 18.7539 0.5506 24.6554 0.0612 81.9934 201.09569 SMK 0.7298 5.6565 0.641216.0324 0.6412 16.0365 0.7609 0 740564033 06776 13.7682 7398197 AGE QUET AQ 06511 16.8744 8006647 SMK QUET QS 2 59.87188 AGE SMK 79.49574 AGE QUET 79.50353 SMK QUET 54.86225 AGE SMK QUET 59 55518 AGE SMK AS 4.0075 0 7901 25924 49 95688 AGE SMK QUET AQ 0.7648 5.5544 55.97387 AGE SMK QUET AOs 0 7639 07616 5 9357 56 74834 AGE SMK QUET QS 5 6625 56 19343 AGE SMK QUET AS 5 0.7922 43428 07918 43875 51.44602 AGE SMK QUET AQ AQS 0.7908 45061 0.775063632 07650 75314 0.7650 75370 51.35172 AGE SMK QUET AQ AS 51.69621 AGE SMK QUET AQ QS 55 61377 AGE SMK QUET QS AQS 58 07815 AGE SMK QUET AS ACS 58.08994 AGE SMK QUET AS QS 5 5 0 7935 61929 0.792762869 0 7925 63063 0 7923 6 53 07696 53 28300 53.32556 53 39624 AGE SMK QUET AQ OS AQS AGE SMK QUET AS QS AQS AGE SMK QUET AQ AS as AGE SMK QUET AQ AS AQS 6.3385 0.7952 8.000 54.84757 AGE SMK QUET AQ AS QS AQS