Suppose that we want to build a model that predicts the group membership of a hurricane, either tropical (0) or non-tropical (1) based onthe latitude of formation of the hurricane. The response variable is the binary variable Type.new (type of hurricane) and the predictorvariable is FirstLat (First Latitude). Using R, we build a model by applying the glm () function. For the logistic regression model, wespecify family = "binomial". The data is available at https:/userpage.fu-berlin.de/soga/200/2010_data_sets hurricanes.xlsx.The R code isset up filenamemy.filename <- pasteo (getwd (),'/', 'my-temporary-downloadfile.xlax')I download filemy.file <- download.file (url = 'httpa://userpage.fu-berlin.de/soga/200/2010_data_sets/hurricanes.xlsx',destfile = my.filename,mode="wb")* read file into memorylibrary (readhurricanes <- read_excel ('my-temporary-downloadfile.xlsx')1)log.model <- glm(Type.new - FirstLat, data = hurricanes, family = "binomial')summary (log.model)Routput* Call:* glm(formula = Type.new - FirstLat, family = "binomi al", data = hurricanes)* Deviance Residuals:10** -2.1841 -0.4954 -0.1664Min300.4718MedianМах3.2397* Coefficienta:Estimate Std. Error z value Pr (>|z|)* (Intercept) -9.08263*# FirstLat# ---* Signif. codes:-9.4469.447<2e-16 **.<2e-16 **.0.961480.372830.039470 *** 0.001 ** 0.01 * 0.05 '. 0.1 '1*# (Dispersion parameter for binomial family taken to be 1)on 336 degrees of freedomon 335 degrees of freedomNull deviance: 463.11# Residual deviance: 232.03# AIC: 236.03** Number of Fisher Scoring iterations: 6Which of the following is the correct model?I. Type.new = -9.0826 + 0.3728FirstLat,where Type.new = In and f, is the predicted probability of the type of hurricane (Type.new) for the first latitude (FirstLat).II. Type.new = 0.9615 + 0.0395FirstLat,where Type. new =iIII. Type.new = -9.446 + 9.447Firstlat,where Type.newand p; is the predicted probability of the type of hurricane (Type.new) for the first latitude (Firstlat).and p, is the predicted probability of the type of hurricane (Type.new) for the first latitude (FirstLat).= Ina I onlyb. II onlyc. III onlyd. None of the above

Suppose that we want to build a model that predicts the group membership of a hurricane, either tropical (0) or non-tropical (1) based on the latitude of formation of the hurricane. The response variable is the binary variable Type.new (type of hurricane) and the predictor variable is FirstLat (First Latitude). Using R, we build a model by applying the glm() function. For the logistic regression model, we specify family - "binomial". The data is available at https://userpage.fu-berlin.de/soga/200/2010_data_sets/hurricanes.xlax. The R code is Iset up filenane my.filename <- pasteo (getwd (),'/', 'my-temporary-dovnloadfile.xlax') I dovnload file my.file <- dovmload.file (url - 'httpa://userpage.fu-berlin.de/soga/200/2010_data_sets/hurricanes.xlsx', destfile - my.filename, mode="wb") * read file into memory iibrary (readxl) hurricanes <- read_excel ('my-temporary-downloadfile.xlsx') log.model <- glm(Type.new- FirstLat, data = hurricanes, £amily = "binomial') summary (log.model) Routput * Call: * glm(formula = Iype.new - Firatlat, family = "binomi al", data = hurricanes) * Deviance Residuals: Min 10 Median ** -2.1841 -0.4954 -0.1664 30 0.4718 Max 3.2397 * Coefficienta Estimate Std. Error z value Pr (>|z|) <2e-16 *** <2e-16 *** * (Intercept) -9.00263 * FirstLat ** --- # Signif. codes: 0 ** 0.001 * 0.01 0.05 . 0.1'1 0.96148 -9.446 9.447 0.37283 0.03947 # (Dispersion parameter for binomial family taken to be 1) Null deviance: 463.11 on 336 degrees of freedom ** Residual deviance: 232.03 on 335 degrees of freedom * AIC: 236.03 * Number of Fisher Scoring iterations: 6 Which of the following is the correct model? I. Type.new = -9.0826 + 0.3728FirstLat, where Type.new = In and p, is the predicted probability of the type of hurricane (Type.now) for the first latitude (FirstLat). II. T'ype.now = 0.9615 + 0.0395FirstLat, where Type. new = in III. Type.new = -9.446 + 9,447FirstLat, where Type.new = In and i, is the predicted probability of the type of hurricane (Type.now) for the first latitude (FirstLat). and p, is the predicted probability of the type of hurricane (Type.new) for the first latitude (FirstLat). 1-P. a. I only ь. П only c. III only d. None of the above