Lectures on Multiple Linear Regression Stat 431 , Summer 2012

نویسنده

  • Hyunseung Kang
چکیده

Multiple regression is an extension to simple regression in several ways. First, instead of examining a linear relationship bewteen two measurements, Xi and Yi, multiple regression aims to explain relationships between p measurements of an object i, denoted as (Xi,1, ..., Xi,p) and Yi. Based on a sample of n points, with each point having measurements (Yi, Xi,1, ..., Xi,p), multiple regression aims to estimate the true underlying relationship of this type Y = β0 + β1X,1 + ...+ βpX,p (1)

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lectures on Simple Linear Regression Stat 431 , Summer 2012

However, little attention has been devoted to studying multivariate measurements. In particular, we have yet to develop tools to study relationships between measurements. Consider the following examples Example 1.1. Suppose you want to study the relationship between the height of a boy and his father. Here, we take two measurements per child, the child’s height and his/her father’s height, and ...

متن کامل

Lecture on Model Selection Stat 431 , Summer 2012

In model selection, we seek a relationship between Y and X,1, ..., X,p that is parsimonious, but still retains good predictive power, as represented by the SSE. Each subset of X,1, ..., X,p that will be used for the fit is one particular model, denoted as M, for studying the relationship between Y and X,1, ..., X,p and we want to choose a subset ofX,1, ..., X,p that achieves this goal. The sele...

متن کامل

140-2008: Data Mining Application of Non-Linear Mixed Modeling in Water Quality Analysis

In regression analysis, non-linearity in fixed and random effects can adversely affect efficiency of regression parameter estimates. Successful non-linear time series modeling would improve regression parameter estimates and produce a richer notion of water quality than linear time series models allow. In addition multiple independent variables make each point in space a finite dimensional vect...

متن کامل

Prediction of Mean Overtopping Discharge at Vertical Seawalls Using MLR and GLM Statistical Approaches

Wave overtopping at breakwaters is one of their essential hydraulic characteristics when determining the design crest level. This study concentrates on developing a new practical formula on predicting wave overtopping, by implementing two different statistical models, Multiple Linear Regression model (MLR) and Generalized Linear Regression model (GLM). The models consider dependency of overtopp...

متن کامل

Properties of solutions to the semi-linear Schrödinger equation

Lecture notes concerning basic properties of the solutions to the semi-linear Schrödinger equation. Based on these notes a series of lectures were given at the summer school on Mathematical Physics in Sogang University, Seoul, July 20-23, 2010.

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012