please use R markdown to finish these questions

2 . (10 points) The pneumo data gives the number of coal miners classifies by radiological examination into one of three categories of pneumoconiosis and by number of years spent working at the coal face divided into eight categories.

a) Treating the pneumoconiosis status as response variable as nominal, build a model for predicting the frequency of the three outcomes in term of length of service and use it to predict the outcome for a miner with 25 years of service. Check goodness of fit tests.

b) Repeat the analysis with the pneumoconiosis status being treated as ordinal. Perform goodness of fit tests.

c) Compare two analysis.

3. (10 points) Refer to the alligator food choice example in Section 6.1.2.

a. Using the model fit, estimate an odds ratio that describes the effect of length on primary food choice being either “invertebrate” or “other.”

b. Estimate the probability that food choice is invertebrate, for an alligator of length 3.9 meters.

c. Estimate the length at which the outcomes “invertebrate” and “other” are equally likely.

4. (10 points)Table below shows results from the 2000 General Social Survey relating happinessand religious attendance (1 = at most several times a year, 2 = once amonth to several times a year, 3 = every week to several times a week).

a. Fit a multinomial model. Conduct descriptive and inferential analyses aboutthe association.

b. Analyze the model goodness of fit.

Table 6.18. GSS Data for Exercise 6.12 on Happiness