# Chapter 13

# Generalized Linear Models

**13.1**

**a.**

**b.**Deviance = 17.59 with

*p*= 0.483 indicating that the model is adequate.

**c.**Ô

_{R}=

*e*

^{−.0177}= .9825 indicating that for every additional knot in speed the odds of hitting the target decrease by 1.75%.

**d.**The difference in the deviances is basically zero indicating that there is no need for the quadratic term.

**13.3**

**a.**

**b.**Deviance = .372 with

*p*= 1.000 indicating that the model is adequate.

**c.**The difference in the deviances is Dev(

*x*) − Dev(

*x*,

*x*

^{2}) = .372 − .284 = .088 indicating that there is no need for the quadratic term.

**d.**For

*H*

_{0}: β

_{1}= 0, the Wald statistic is

*Z*= −.42 which is not significant. For

*H*

_{0}: β

_{2}= 0, the Wald statistic is

*Z*= −.30 which is not significant.

**e.**An approximate 95% confidence interval for β

_{1}is (−.0018, .0033) and an approximate 95% confidence interval for β

_{2}is (7.15 × 10

^{−7}, 5.27 × 10

^{−7}).

**13.5**

**a.**

**b.**Deviance = 14.76 indicating that the model is adequate.

**c.**For

_{1}, we get

*Ô*

_{R}≈ 1 indicating that the odds are basically even. For

_{1}, we get

*Ô*

_{R}= 3.52 indicating that every one year increase in the age of the current car ...

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