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Statistics 106Winter 2019Homework 4Due date : February 22 (Friday)The work must be submitted in class on the due date. Please write yourname and last 4 digits of student ID on the first page. Any resource used insolving the problems (other than textbook, lecture notes, and discussions withinstructor and/or TAs) must be mentioned.1. Problem 18.9 (modified): Refer to Premium distribution problem 16.12 inHomework 3.(a) Obtain the residuals prepare aligned residual dot plots by agent. What departuresfrom the standard ANOVA model can be studied from these plots ? What areyour findings ?(b*) Prepare a normal probability plot of the residuals. Does the normality assumptionappear reasonable here ?(c) The observations within each factor level are in time order. Prepare residualsequence plots and interpret them. What are your findings ?(d*) Obtain the studentized residuals and check how many fall outside the interval[3, 3]. Do you see presence of an outlier ?2. Problem 18.17 (modified): In a completely randomized design to study the effectof the speed of winding thread (1:slow, 2:normal, 3:fast, 4:maximum) onto 75-yardspools, 16 runs of 10,000 spools each were made at each of the four winding speeds.The response variable is the number of thread breaks during the production run. Sincethe responses are counts, the researcher was concerned about the normality and equalvariance assumptions of the ANOVA model.[Use the data set CH18PR17.txt (first column = response, second column = treatmentindex (i), third column = replicate index (j)).](a) Obtain the fitted values and residuals of the ANOVA model.(b) Prepare suitable residual plots to study whether or not the error variances areequal for the four winding speeds. What are your findings ?(c) Test by means of Brown-Forsythe test whether or not the treatment error variancesare equal, at α = 0.05. What is the P-value of the test ? Are your resultsconsistent with the diagnosis in part (b) ?(d*) Perform Hartley’s test to see whether or not the treatment error variances areequal, at α = 0.05. Are your results consistent with the findings in part (c) ?1(e*) For each winding speed, calculate Y i· and si. Based on these, examine which ofthe following possibilities seems most reasonable:(i) σi ∝ μi; (ii) σi ∝ μi; (iii) σi ∝ μi.Determine the transformation that is most appropriate here.(f*) Use the Box-Cox procedure to find an appropriate power transformation of Y .Evaluate SSE for values of λ in the set {1, 0.8, 0.6, · · · , 0.6, 0.8, 1}. Doesλ = 0 (corresponds to logarithmic transformation) appear to be reasonable, basedon the Box-Cox procedure ?本团队核心人员组成主要包括硅谷工程师、BAT一线工程师，精通德英语！我们主要业务范围是代做编程大作业、课程设计等等。我们的方向领域：window编程 数值算法 AI人工智能 金融统计 计量分析 大数据 网络编程 WEB编程 通讯编程 游戏编程多媒体linux 外挂编程 程序API图像处理 嵌入式/单片机 数据库编程 控制台 进程与线程 网络安全 汇编语言 硬件编程 软件设计 工程标准规等。其中代写编程、代写程序、代写留学生程序作业语言或工具包括但不限于以下范围:C/C++/C#代写Java代写IT代写Python代写辅导编程作业Matlab代写Haskell代写Processing代写Linux环境搭建Rust代写Data Structure Assginment 数据结构代写MIPS代写Machine Learning 作业 代写Oracle/SQL/PostgreSQL/Pig 数据库代写/代做/辅导Web开发、网站开发、网站作业ASP.NET网站开发Finance Insurace Statistics统计、回归、迭代Prolog代写Computer Computational method代做因为专业，所以值得信赖。如有需要，请加QQ：99515681 或邮箱：[email protected] 微信：codehelp