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For all problems below, please use x= 40171.(30 points) Nearly 100,000 observations are available on air temperature and specific humidity. From these observations scientists have estimated that the temperature is approximately Normally distributed with mean= 280 deg K with a standard deviation of 6 deg K. The specific humidity has been found to vary approximately as:h = C/1000* exp(C*T/500) (1)Where C varies to some extent such that it is also Normally distributed with mean =x, and standard deviation = x/10a)Generate a sample of size 30 for temperature and humidity given this information.b)Using your, sample assess whether there is a trend (of any kind) in the temperature data.c)Estimate a relationship that can predict the probability of h>h75 given T using your sample. Here, h75 is the 75th percentile of the h data from your sample. Present the regression diagnostics, and justify your model choice – linear, nonlinear, GLM, etc.d)Now consider a relationship between h and T. Given equation 1 above and the description of the probability distributions of T and C, what would be a good form for the model relating h and T? You are welcome to consider transforms or local regression or any other method you would like to apply. DO NOT FIT THIS REGRESSION MODEL. Assuming that the model you have formulated is a linear model between some predictor and some response variable, predict the value of the response variable corresponding to the lowest temperature in your data set by constructing an appropriate weighted average of the response variable. e)Would your approach and answer to d) change if equation 1) included a random error term on the right hand side? How and why? Do not solve. (30 points)2.Twenty groundwater wells are located in a rectangular region. The region is exactly 10 km by 10 km. The wells are located randomly with uniform sampling in the x and the y location coordinates. Water level data has been recorded at each of the wells for 30 years. It can be obtained by executing the code belowS=runif(1)loc=matrix(runif(40,0,10),ncol=2,nrow=20)plot(loc)d=dist(loc,diag=T, upper=T)c=exp(-d/max(d))c=as.matrix(c)diag(c)=rep(1,20)library(MASS, lib.loc = C:/Program Files/R/R-3.5.3/library)data=matrix(ncol=20,nrow=30)data[1,]=mvrnorm(mu=rep(S,20), Sigma=c)for ( i in 2:30){for (j in 1:20)data[i,j]=0.95*data[i-1,j]+rnorm(1,0,sqrt(1-0.95^2))}a.Is there any evidence of common patterns in this data set? What are some methods you could use to explore this? Apply one of those methods; explain why you chose it and report the results.b.What is your estimate of the water level in year 15 at a location whose coordinates are (5,5)? Clearly explain the procedure you used to develop this estimate, including a brief discussion of competing methods you may have considered; why you chose the one you did; the assumptions of that method, and whether they were satisfied when you applied that method. What is the uncertainty of estimation for this estimate?c.Now consider the estimation of the water level in year 31 at the same location. Do not attempt to compute this estimate. Sketch out two possible algorithms that you may use to develop this estimate, and comment very briefly on what may be the possible advantage of one over the other?(30 points)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