When you have completed this chapter, you will be able to: Understand the importance of an appropriate model specification and multiple regression analysis, comprehend the nature and technique of multiple regression models and the concept of partial regression coefficients, use the estimation techniques for multiple regression models,...
Multiple regression is the extension of simple regression, to take account of more than one
independent variable X. In multiple regression, we study the relationship between Y and a number of
explanatory variable (X1, X2, …, Xk). The model we assume is as follows:
Yi = β0 + β1X1 + β2X2 + … + βkXk + ei
Chapter 15 - Multiple regression and model building. After mastering the material in this chapter, you will be able to: Explain the multiple regression model and the related least squares point estimates, explain the assumptions behind multiple regression and calculate the standard error, calculate and interpret the multiple and adjusted multiple coefficients of determination,...
Chapter 4 - Further development and analysis of the classical linear regression model. In this chapter, you will learn how to: Construct models with more than one explanatory variable, test multiple hypotheses using an F-test, determine how well a model fits the data, form a restricted regression, derive the OLS parameter and standard error estimators using matrix algebra, estimate multiple regression models and test multiple hypotheses in EViews.
Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Two-stage source tracking method using a multiple linear regression model in the expanded phase domain
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Two-stage source tracking method using a multiple linear regression model in the expanded phase domain
Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học thế giới đề tài: Multiple trait model combining random regressions for daily feed intake with single measured performance traits of growing pigs
In panel data models (as in single-equation multiple-regression models) we are interested in testing two types of hypotheses: hypotheses about the variances and covariances of the stochastic error terms and hypotheses about the regression coefficients. The general to simple procedure provides a good guide.
From the system we call the ‘normal equation system’ we can solve K normal equations for K unknown beta coefficients. The straight-forward representation of the solution is expressed in the matrix algebra. However, since the main purpose is the application and EViews. Other data analysis software is available, so we can easily find regression coefficients without remembering all the algebraic expressions.
This paper investigates the relationship between non-farm employment and household income in Hanoi's periurban areas. The findings showed that the vast majority of the sample households participate in non-farm activities and income from these sources mainly contributes to total household income. Factors affecting household income were examined using multiple regression models and the findings confirm the important role of non-farm employment in improving household income.
The purpose of this and the following chapter is to briefly go through the most basic concepts in probability
theory and statistics that are important for you to understand. If these concepts are new to you, you should
make sure that you have an intuitive feeling of their meaning before you move on to the following chapters in
Today there are many services which provide information over the phone using
a prerecorded or synthesized voice. These voices are invariant in speed. Humans giving information over the telephone, however, tend to adapt the speed of their presentation to suit the needs of the listener. This paper presents a preliminary model of this adaptation. In a corpus of simulated directory assistance dialogs the operator’s speed in number-giving correlates with the speed of the user’s initial response and with the user’s speaking rate.
The French work was based on the available Black Smoke (BS) data. A correlation analysis between
BS and PM10 (TEOM method7
) was first carried out. It was found that at urban background sites, BS
and PM10 (TEOM) are about equal. Following this, linear relationships were sought between the BS
data and land use categories in the areas surrounding the measurement sites. Multiple regression
analysis was performed for three categories of sites: urban, suburban and rural. Based on these
regressions and using the land use data set, a PM10 map was established.
It is not always clear how the differences in intrinsic evaluation metrics for a parser or classiﬁer will affect the performance of the system that uses it. We investigate the relationship between the intrinsic evaluation scores of an interpretation component in a tutorial dialogue system and the learning outcomes in an experiment with human users. Following the PARADISE methodology, we use multiple linear regression to build predictive models of learning gain, an important objective outcome metric in tutorial dialogue.
The focus of this study is positive feedback in one-on-one tutoring, its computational modeling, and its application to the design of more effective Intelligent Tutoring Systems. A data collection of tutoring sessions in the domain of basic Computer Science data structures has been carried out. A methodology based on multiple regression is proposed, and some preliminary results are presented. A prototype Intelligent Tutoring System on linked lists has been developed and deployed in a collegelevel Computer Science class. ...
Chapter 16 - Times series forecasting and index numbers. This chapter includes contents: Time series components and models, time series regression, multiplicative decomposition, simple exponential smoothing, Holt-Winter’s Models, the Box Jenkins methodology (optional advanced section), forecast error comparisons, index numbers.