A study was carried out in n = 6 small apple orchards. The i - th orchard has r; trees which were all given a dose of additive x₁. After one month, yi, the number of trees that did not have certain fungus was recorded. The following is the data per orchard, presented in the format (ri, yi, x₁): (25,18,-1), (40,22,-0.6), (35,15,-0.2), (45,22,0.2), (35,13,0.6), (20,7,1). In this problem, the values of doses of additive are coded, hence the negative x; values. The following are outputs from the analysis of these data after fitting a glm model with logit link and binomial distribution. Bo = -0.0824, B₁ = -0.6622 The null deviance was 10.1378 on 5 degrees of freedom. 2.2259 of freedom

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Find the loglikelihood of maximal model and the predicted proportion of trees without fungus when the dose of additive is x= -0.2

A study was carried out in n = 6 small apple orchards. The i th orchard has r; trees which were all given a dose of
additive x;. After one month, y;, the number of trees that did not have certain fungus was recorded. The following is
the data per orchard, presented in the format (ri, y¡, X¡): (25,18,-1), (40,22,-0.6), (35,15,-0.2), (45,22,0.2), (35,13,0.6),
(20,7,1). In this problem, the values of doses of additive are coded, hence the negative x; values.
The following are outputs from the analysis of these data after fitting a glm model with logit link and binomial
distribution.
Bo = -0.0824, B₁ = -0.6622
The null deviance was 10.1378 on 5 degrees of freedom.
The residual deviance was 2.2358 on 4 degrees of freedom.
AIC: 29.4658
Transcribed Image Text:A study was carried out in n = 6 small apple orchards. The i th orchard has r; trees which were all given a dose of additive x;. After one month, y;, the number of trees that did not have certain fungus was recorded. The following is the data per orchard, presented in the format (ri, y¡, X¡): (25,18,-1), (40,22,-0.6), (35,15,-0.2), (45,22,0.2), (35,13,0.6), (20,7,1). In this problem, the values of doses of additive are coded, hence the negative x; values. The following are outputs from the analysis of these data after fitting a glm model with logit link and binomial distribution. Bo = -0.0824, B₁ = -0.6622 The null deviance was 10.1378 on 5 degrees of freedom. The residual deviance was 2.2358 on 4 degrees of freedom. AIC: 29.4658
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