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Fit a Poisson modelto describe the association between expected number of yarn b

ID: 3233206 • Letter: F

Question

Fit a Poisson modelto describe the association between expected number of yarn breaks and the number of completed spindle revolutions.

Write the model equation.

Poisson Regression summary Gyarn.pois) glm(formula- Noof Faults Roll Length, family poisson, data Textile Fabric) Deviance Residuals: 10 Median Min 3Q Max 2.74113 -1.13285 -0.03872 0.66227 3.07502 Coefficients Estimate Std. Error z value Pr C> Izl) (Intercept) 0.9713881 0.2124834 4.572 4.84e-06 Roll Length 0.0019302 0.0003063 6.302 2.94e-10 Signif. codes 0 0.001 0.01 0.05 0.1 1 Null deviance: 103.714 on 31 degrees of freedom Residual deviance: 61.734 on 30 degrees of freedom AIC: 189.03 P di sp (yarn pois) pearson chi 2 dispersion 2.121105 63.633164

Explanation / Answer

Answer:

Fit a Poisson model to describe the association between expected number of yarn breaks and the number of completed spindle revolutions.

Write the model equation.

Log( no. of faults) = 0.9713881+0.0019302*Roll length

Interpret .

When roll length increases by 1, there is an increase of 0.0019302 in Log( no. of faults).

Or

When roll length increases by 1, no. of faults will increase and it will be multiplied by 1.001932.

e^(0.0019302) =1.001932