Statistics - Regression Projects

Using Brozek’s values as your response variable, determine the best fitting regression model. You may

Using Brozek’s values as your response variable, determine the best fitting regression model. You may use all variable predictors except: Case, Siri, density, Adtp, fat free, and abdomen. Explain the relationship of each of your predictors with the response variable (e.g. look at both the values of the betas and correlations). Explain why your model is the "best" one. Make sure to test the overall fit of your model as well as the individual beta coefficients.
VARIABLE DESCRIPTIONS:
Case = Case Number
Brozek = Percent body fat using Brozek's equation, 457/Density - 414.2
Siri = Percent body fat using Siri's equation, 495/Density – 450 do not use as a predictor
Density = Density (gm/cm^3) do not use as a predictor
Age = Age (yrs)
Weight = Weight (lbs)
Height = Height (inches)
Adip = Adiposity index = Weight/Height^2 (kg/m^2)
FatFree = Fat Free Weight do not use as a predictor
= (1 - fraction of body fat) * Weight,
using Brozek's formula (lbs)
Neck = Neck circumference (cm)
Chest = Chest circumference (cm)
Abdomen = Abdomen circumference (cm) "at the umbilicus and level with the iliac crest"
Hip = Hip circumference (cm)
Thigh = Thigh circumference (cm)
Knee = Knee circumference (cm)
Ankle = Ankle circumference (cm)
Bicep = Extended biceps circumference (cm)
Forearm = Forearm circumference (cm)
Wrist = Wrist circumference (cm) "distal to the styloid processes"
There is an Excel spreadsheet that contains specifications for 1993 automobiles. Test the null hypothesis that the mean CMPG for the big 3 automotive manufacturers are equal. (We will consider GM, Ford and Chrysler as the big three). You will be using an ANOVA test here). I attempted to use one-way ANOVA but wondered if I should have used block ANOVA.