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Economics 123BEconometrics II Winter 2019Homework 3Due on 2/28/2019Problems and DerivationsProblem 1: Suppose that we want to evaluate the effect of several variables onannual saving and that we have a panel data set on individuals collected in January1990 and January 1992. If we include a year dummy variable for 1992 and use firstdifferencing, can we also include age in the original model? Please explain.Problem 2: Consider a data set consisting of observations on i = 1, . . . , n unitsover t = 1, . . . , T time periods and suppose that n is large and T is small (e.g., youhave n = 5000 patients observed over T = 10 years). Write down an econometricmodel that can be used to analyze the data and explain its components. Whatproblems arise if in your regression you ignore the fact that patients are potentiallyheterogeneous? Show an example of this graphically. Discuss one approach toestimating the parameters of this model, listing the necessary steps.Problem 3: The mock dataset hw3 data.csv on the course website includes observationson i = 1, . . . , 100 California counties over t = 1, . . . , 4 time periods. Thedependent variable y, stored in column 1, is a measure of pollution. The next threecolumns include determinants of y, and a county indicator appears in column 5.1. Load the data into your favorite statistics software. Without using panel datapackages or toolboxes, implement the mean-differncing and first-differcing fixedeffects estimators. Show your code and report your point estimates. Are theestimates under mean-differencing and first-differencing comparable? (Note: toconfirm the accuracy of your code, you may wish to compare your results tothose obtained from the panel data analysis tools in your software, e.g., if usingR, install package plm and enable it with the command library(plm) at the topof your script).2. Provide a forecast of pollution if x1 = 1.1, x2 = 1.5, and x3 = .2. Because youhave removed the county specific intercepts, what is the proper interpretationof your forecast?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