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(3) The dependent variable breaks in this problem counts the number of breaks in

ID: 3325107 • Letter: #

Question

(3) The dependent variable breaks in this problem counts the number of breaks in 54 looms of yarn. There are two explanatory variables: wool (type A or type B) and tension (L, M, or H). The variable tens converts tension to a numerical scale of 0, 1, or 2 for L, M, or H, respectively. Here is (abridged) output from fitting a Poisson log-linear model in R: fitsumary(fit) Call: glm(formula = breaks ~ wool + tens, family = poisson) Coefficients: Estimate Std. Error z value Prlz|) (Intercept) 3.67654 0.04347 84.572

Explanation / Answer

H0: Data follows Poisson distribution

Ha: Data does not follows poisson distribution

Since the p- value of the test is 2e-16 < 0.05

We reject Ho.

So we have enough evidence that the data does not fit poisson distribution