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1. Suppose X1, X2, . . . , X9 are iid N(μ, 4) variables. We wish to test H0 :μ = 1 against H1 : μ = 3(a) Calculate the size and power of the test with rejection region X >ˉ2.(b) Find k so that the test with rejection region X > k ˉ has size 0.05.Calculate the power of this test.2. The data set big.mac is part of a larger data set described in Cook andWeisberg, “Applied Regression Including Computing and Graphics,”Wiley, 1999.Download the data file, the data is available on moodle. Read the datainto R.The Big Mac hamburger is a simple commodity that is virtually identicalthroughout the world. One might expect that the price of a BigMac should be the same everywhere, but of course it is not the same.The Economist magazine has published a Big Mac parity index, whichcompares the costs of a Big Mac in various places, as a measure ofinefficiency in currency exchange. We will use these data to study howthe cost of a Big Mac varies with economic indicators that describeeach city. The variables in the data are logBigMac (log of minutes oflabour required by an average worker to buy a Big Mac and french fries)logBusFare (log of lowest cost of 10km public transit in US dollars)logTeachSal (log of annual salary of a primary teacher in US dollars)and logTeachTax (log of tax rate paid by a primary teacher).For the following, please provide R scripts that you use and the correspondingoutput, including any relevant graphs to support your answers.(a) Fit a linear model with logBigMac as the response and the remainingvariables as predictors.(b) Is there any evidence that any of the assumptions of the linearregression model is not satisfied?(c) Examine residuals and other diagnostics for the fitted model. Arethere any unusual or influential points?2(d) Examine the summary output: based on the summary output, doyou think that any of the predictors could be deleted from themodel? Please state any relevant statistical tests you used to baseyour conclusion on.(e) Consider two alternative models: the model including all predictors,and the model where the predictor logBusFare and logTeachTaxare deleted. Use the F statistic, stating clearly any hypothesisbeing tested, and the conclusions reached regarding the two predictors.3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