a) Fit a negative binomial model to describe the association between expected nu
ID: 3234076 • Letter: A
Question
a) Fit a negative binomial model to describe the association between expected number of yarn breaks and the number of completed spindle revolutions. Write the model equation.
b) Is the amount of overdispersion statisically significant?
Negative Binomial Regression summary (yarn. nb) glm. nbcformula NoofFaults Ro11Length. data Textile Fabric i nit.theta 9.577000476, link 10 Deviance Residuals: Min 10 Median 3Q Max 2.05769 -0.82845 0.03157 0.49435 2.26534 Coefficients Izl) Estimate Std. Error z value Pr Intercept 1.0011991 0.2783258 3.597 0.000322 Roll Length 0.0018830 0.0004213 4.470 7.83e-06 signif. codes o 0.001 0.01 0.05 0.1 1 Null deviance: 52.750 on 31 degrees of freedom Residual deviance: 31.307 on 30 degrees of freedom 180.54 2 x log-likelihood 174.543 P disp (yarn.nb) pearson. chi 2 dispersion 32.202714 1.073424 tests tat yarn. pois$ dev yarn .nb$dev tests tat [1] 30.4274 pchisq teststat 1, lower. tail FALSE) 11 3.46597e-08Explanation / Answer
a) no of log yarn breaks =1.0012 + 0.001883*roll length
b)amount of overdispersion is statistically sigificant .. since p value corresponding to that is very low ( less than 0.05)
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