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Statistics 108Homework Assignment 4Correction to problem 5 chapter 6Note, all problems listed here are to be written up and handed in on the due dateprovided. Homework is posted concurrently with the class material. Sections maybe assigned at different times but have the same due date as previously assignedproblems. For the problems in chapter 7 you should use the package LEAPS.The data set student survey was given to a sample of students, to investigate variablesthat might be related to GPA. We are interested in fitting a model with GPA asthe outcome and the other variables as potential predictors (exercise, TV, siblings,verbalSAT, mathSAT, SAT, piercings). The questions below for chapter 6 and chapter7 problems all refer to this data set.Chapter 6 problems below have a due date of June 5(P1) For each of the potential predictors obtain a scatterplot of GPA plotted against thepredictor. Do any of the scatterplots suggest a linear relationship with GPA?(P2) Obtain the Anova table for the regression of GPA on the list of predictors above. OmitmathSAT and verbalSAT. State the null hypothesis being tested by the F-statisticsin the context of this problem. Do not use generic terms such as H0 : β1 = 0. Useterminology such as H0 : βSAT = 0. Be very clear what the hypothesis tests. Stateyour conclusion for the model.(P3) Obtain the t-tests for each of the variables in the model. Explain, in your own wordsand in context, what hypothesis is being tested. State your conclusions in contextand identify variables that are significant and those that are not on the basis of thep-value.(P4) For the variables SAT, TV obtain the t-test from the simple linear regression. Comparethe test value, standard error and error degrees of freedom to the t-tests obtainedin problem 3.(P5) Calculate the average GPA for students who watch 5 hours of TV, have 2 siblings,exercise 10 hours, have 3 piercings and have an SAT score of 1200. Find the standarderror and calculate a 95% confidence interval.(P6) Obtain the coefficient of determination for the model with SAT and for the modelwhere SAT is dropped and the two variable mathSAT and verbalSAT are included.Which model has a higher coefficient of determination.(P7) Obtain the residual plot of the residuals plotted against the fitted values. Do you seeany patterns that might indicate a violation of the regression assumptions? If yes,which ones?(P8) Obtain the normal probability plot of the residuals.Chapter 7 problems have a due date of June 5(P1) Obtain the partial sum of squares and partial F-test for the hypothesis H0 : βsibling =βT V = 0. Provide the test-statistic, numerator and denominator degrees of freedomand state your conclusions.(P2) In the model building process we can choose various techniques for identifying whichof the potential predictors are useful and which ones are not. Use forward selectionand backward elimination to build a model for GPA. Do you arrive at the samemodel? Show your steps and identify the order in which variables are entered forforward selection and for backward elimination.(P3) Obtain R2adj for each of the models fit in the stepwise procedure. If you choose thiscriterion for model fitting, do you obtain the highest R2adj for the model selectedthrough backward elimination?(P4) On the basis of Mallows Cp, which is the best model with 2, 3 or 4 predictors.(P5) Try fitting a model with only mathSAT, verbalSAT and SAT. What happens to theparameter estimates βmathSAT , βverbalSAT , βSAT ? Do you have an explanation?本团队核心人员组成主要包括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 QQ：99515681 或邮箱：[email protected] 微信：codehelp