A clinical investigator is interested in understanding the relationship between demographic factors ...

     A clinical investigator is interested in understanding   the relationship between demographic factors and congestive heart failure,   measured by a cardiac index (CI).  A random sample of 12 patient   charts of CHF patients revealed the data below.  Using the   five-step hypothesis test at the .05 level, determine what demographic   factors best explain CHF.           a.   Is there evidence of multicullinearity?   b.   Are there any variables that do not explain CHF?  If so, remove   them from the model and rerun it (but show all model tests).   c.   What is the overall fit of the model (how much of the variance of CHF is   explained)?   d.   Which variables best explain CHF?   e.   What would be the expected CI for a patient that is 50 years old, controlling   for all other variables               adapted   from Ott, R. L. & Longnecker, M. (2001). Statistical methods and data   analysis (5th ed.).  Pacific Grove, CA: Wadsworth Group.         Patient   CI age disease duration ht wt gender   A1   1.6 67 5 172 57 1    A2   2.4 45 2 170 87 0    A3   2.2 59 8 172.7 102 0    A4   1.7 63 1 175.3 74 1    A5   2.3 55 1 172.7 92 0    A6   1.6 65 1 178 90 1    A7   1.4 62 2 163 57 0    A8   2.2 60 1 182.5 80 0    A9   1.3 72 2 168 72 1    A10   2.1 44 3 163 75 1    A11   2.1 63 5 172 82 0    A12   1.1 63 1 163 64 1          CI   = L/min/m2     age   in years     disease   duration in years    ht in cm      wt in kg      gender   = 0 men; 1 women