Question
In astudy of the relation of body fat Y to triceps skinfold thickness X1 and thigh circumference X2 based on a sample of 20 healthy
In astudy of the relation of body fat Y to triceps skinfold thickness X1 and thigh circumference X2 based on a sample of 20 healthy females 25-35 years old the following results were obtained from the Analysis of variance:
-The ANOVA for the regression of YV on X1 and X2 yielded:
SSR=385.44; SSE=109.95 and SSTO=495.39.
-The ANOVA for the regression of Y on X1 yielded:
SSR=352.27; SSE=143.12; SSTO=495.39.
-The ANOVA for the regression ofY on X2 yielded:
SSR=381.97; SSE=113.42; SSTO=495.39.
i)From the information given determine whether multicollinearity exists between the two independent variables X1 and X2.(4 Marks)
ii)Interpret the above results
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