Use the MINITAB output given in Figure 10.12 for the logistic regression model relating the variable Overweight,1 when BMI≥ 25 and 0 otherwise, with explanatory variables Abdomen and Height given in Figure 10.12 to answer the following questions.

(a) Is there any evidence of a collinearity problem with Abdomen and Height?

Explain.

(b) Write down the equation of the fitted logistic regression model.

(c) Write down the equation of the estimate of ????(Overweight =

1|Abdomen, Height).

(d) Is there evidence of significant lack of fit with this model and the observed data?

Explain.

(e) Compute a 95% confidence interval for the slope associated with Height.

(f) Determine the maximum likelihood estimate of the odds ratio associated with a one unit increase in the explanatory variable Height.

(g) Estimate the probability that Overweight = 1 when Abdomen=90 and Height=70.