The Application of the Least Squares Method to Multicollinear Data

نویسندگان

چکیده

Regression analysis is an that aims to determine whether there a statistically dependent relationship between two variables, namely the predictor variable and response variable. One of methods for estimating multiple linear regression parameters Least Squares Method. Therefore, careful meticulous selection appropriate techniques are required overcome multicollinearity problem ensure accurate meaningful results. Descriptive statistical table variables where average results rounded. The equation using OLS method as follows: Y ̂=2,037+0.302X_1+0.206X_2+0.172X_3+0.342X_4. it important use special such regularization or PCA in data before applying least squares method. Thus, we can obtain more stable coefficient estimates reliable model.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Application of Ridge Regression to Multicollinear Data

The main thrust of this paper is to investigate the ridge regression problem in multicollinear data. The properties of ridge estimator are discussed. Variance inflation factors, eigen values and standardization problem are studied through an empirical comparison between OLS and ridge regression method by regressing number of persons employed on five variables. Methods to choose biasing paramete...

متن کامل

A Least Squares Approach to Estimating the Average Reservoir Pressure

Least squares method (LSM) is an accurate and rapid method for solving some analytical and numerical problems. This method can be used to estimate the average reservoir pressure in well test analysis. In fact, it may be employed to estimate parameters such as permeability (k) and pore volume (Vp). Regarding this point, buildup, drawdown, late transient test data, modified Muskat method, interfe...

متن کامل

The Method of Least Squares

This note calls attention to a variant formulation of the least-squares adjustment procedure [1] that should prove increasingly attractive as electronic dataprocessing equipment becomes ever more widely available. It indicates that the statistician need not concern himself with the two rituals featured in traditional textbook presentations—namely, the construction and solution of the convention...

متن کامل

Least – Squares Method For Estimating Diffusion Coefficient

 Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...

متن کامل

LEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT

Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International journal of mathematics and statistics studies

سال: 2023

ISSN: ['2053-2210', '2053-2229']

DOI: https://doi.org/10.37745/ijmss.13/vol11n13039