The following are observations (x₁, y;) taken from units in a textile process: (12,12), (12,17), (14,15), (14,18), (16,24), (20,31), (24,40). For the i-th unit, x; is the length of material and y; is the number of imperfections detected. It is assumed that the number of imperfections will be modelled with a generalized linear model considering a Poisson distribution and a logarithmic link for the linear predictor ni Po + P₁x₁. Analyze the data using the function glm in R and process the data

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Find the quantity (deviance) for testing the hypothesis ?0H0 that data supports the glm fit against the alternative ?1H1 that data supports the maximal model.

B) the degrees of freedom and pvalue for testing H0

The following are observations (x¡, y¡) taken from units in a textile process: (12,12), (12,17), (14,15), (14,18), (16,24), (20,31),
(24,40). For the i-th unit, x; is the length of material and y; is the number of imperfections detected. It is assumed that the
number of imperfections will be modelled with a generalized linear model considering a Poisson distribution and a
logarithmic link for the linear predictor ni
=
Po + B₁x₁. Analyze the data using the function glm in R and process the data
Transcribed Image Text:The following are observations (x¡, y¡) taken from units in a textile process: (12,12), (12,17), (14,15), (14,18), (16,24), (20,31), (24,40). For the i-th unit, x; is the length of material and y; is the number of imperfections detected. It is assumed that the number of imperfections will be modelled with a generalized linear model considering a Poisson distribution and a logarithmic link for the linear predictor ni = Po + B₁x₁. Analyze the data using the function glm in R and process the data
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