A model was developed to predict percent body fat (Bodyfat) measured by the water immersion method, by using Weight (in kg) and circumference for the Abdomen (in cm). The regression output is given below.

a). Write down the regression equation. (1 marks)

b). Is the overall model significant? Explain. (1 marks)

c). Interpret the coefficient of determination, R-Square. (1 marks)

d). Test if Weight is a significant predictor (write down the hypotheses, p-value, and conclusion). (2 marks)

Answer text

Regression Statistics Multiple R 0.8560 R Square 0.7328 Adj R Sq 0.7273 SE 4.1815 Observation 100 ANOVA df SS MS F p-value Regression 2 4650.55 2325.28 132.99 1.6E-28 Residual 97 1696.04 17.48 Total 99 6346.59 Coefficient: SE t Stat P-value Intercept -48.78 4.18 -11.67 3.57E-20 Weight -0.35 0.07 -5.19 1.18E-06 Abdomen 1.04 0.09 11.71 2.93E-20