Contact Us
Sign In / Sign Up for FREE
Go to advanced search...

How to Perform and Interpret Regression Analysis - Essay Example

Comments (0) Cite this document
An essay "How to Perform and Interpret Regression Analysis" outlines that regression analysis is a statistical tool for the investigation of relationships between variables. This technique is used to predict the value of a dependent variable using one or more independent variables…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER91.6% of users find it useful
How to Perform and Interpret Regression Analysis
Read TextPreview

Extract of sample "How to Perform and Interpret Regression Analysis"

How to Perform and Interpret Regression Analysis
Regression analysis is a statistical tool for the investigation of relationships between variables. This technique is used to predict the value of a dependent variable using one or more independent variables.
For example, we can predict a Product line Worker’s output (the dependent variable) from his age, education, and years of experience (the independent variables).
There are two types of regression analysis namely;
Simple Regression: Involves two variables, the dependent variable and one independent variable. Mathematically, the simple regression equation is;
y1 = b0 + b1x OR y = b0 + bx
For example we can predict the effect of price increase (x) on demand (y).
Multiple Regressions: Involves many variables, one dependent variable and many independent variables. Mathematically, the multiple regression equation is;
y1 = b0 + b1x1 + b2x2 + b3x3 + ... + bnxn
Where y1 is the estimated value for y (the dependent variable), b1, b2, b3,... are the partial regression coefficients, x, x1, x2, x3,... are the independent variables and b0 is the regression constant.
In this competitive age, all efforts are made to retain good work force, which requires motivational incentives on the part of the company, because there’s direct correlation between the satisfaction level and the output of the company. The results of a statistical and probability analysis conducted using the database provided by a company indicate that;
1. Employee turnover ratio also depends on the gender of the staff. Female staff remained with the company for much longer (20.83% of the female population had worked in the company for over five years as against 12.50% of male population).
2. The study further suggests that most of the workforce is in the administration work (61.46%).
3. But in another revealing outcome the study suggests that on a scale of 1-7, job satisfaction of male workforce is 4.43, while that of female workforce is 4.26.
Correlational Research: Here we study the effects (correlation) of two variables on each other. For example;
Increasing sale of ashtrays in market indicates that number of smokers is on the rise.
On the other hand increase in number of smokers will be good news for ashtray making companies, as they can easily figure out that there will be more sale of ashtrays.
Similarly studies relating smoking to lung cancer are correlational (increasing number of lung cancer cases means increasing number of smokers and vice-versa). Therefore, measurement of two variables and determining whether they are associated with each other is called correlational study.
Difference between Correlation and Causation:
Causation: If an event of the first kind occurs, an event of the second kind will or must occur, and the first event is the ‘cause’ of the second event. This is called causation. A relation is called a causal relation if a change in one variable is not only correlated with but actually produces a change in another variable. For example negligence on the part of a computer programmer may cause, malfunctioning of the inventory control programme. On the other hand in a correlation two correlated variables might or might not result in a change in each other. In correlation the changes are in general proportionate, but in Causation the changes may not be proportionate and measurable.
I. University of Newcastle Upon Tyne, How to Perform and Interpret Regression Analysis, accessed on May 26, 2006, available online at
II. Arsham, H. (n.d). Business statistics: Revealing facts and figures. Retrieved 4 May. 2006 from:
III. Introduction and Univariate Descriptive, Correlation and Causation, available online at, Read More
Cite this document
  • APA
  • MLA
(“How to Perform and Interpret Regression Analysis Essay”, n.d.)
How to Perform and Interpret Regression Analysis Essay. Retrieved from
(How to Perform and Interpret Regression Analysis Essay)
How to Perform and Interpret Regression Analysis Essay.
“How to Perform and Interpret Regression Analysis Essay”, n.d.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF How to Perform and Interpret Regression Analysis

The Benefits Offered to an Employee

... analysis shows how the explanatory power of the independent variable in determining the values of the dependent variable (Malhotra, 543). The results from the regression analysis are explained in details. Benefits and Intrinsic Job Satisfaction Regression output from Excel Regression Statistics Multiple R 0.406119551 R Square 0.16493309 Adjusted R Square 0.140372299 Standard Error 0.625284344 Observations 36 ANOVA   df SS MS F Significance F Regression 1 2.625551535 2.625551535 6.715300289 0.013983864 Residual 34 13.29333735 0.39098051 Total 35 15.91888889         Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 4.427844793 0.317692656 13.938 1E-15 3.7822156 5.0734739 3.78221564 5.07347395 X...
2 Pages(500 words)Research Paper

Regression Analysis

...? Regression analysis assumptions Regression analysis assumptions A summary of the assumptions used in the paper and justifications for using the same is briefly discussed. Assumption 1: Non-linearity assumption This assumption is pegged on the assumption there is no linear relationship between the studied variables. As a matter of fact, the use of this assumption is meant to abridge or rather offer basis for development of a hypothesis that the proposed relationship will fail to hold. It disputes the existence of a relationship between the proposed variables (Good & Hardin, 2009). In essence, it allows for evaluation of the fixed and random effects models in non-linear modeling frameworks and simply assumes parameter and variable non...
3 Pages(750 words)Speech or Presentation

Regression analysis

... involving rare events where assumptions of a normally distributed dependent do not apply. Categorical regression is a variant which can handle nominal independent variables. 6. What is the primary purpose of residual analysis Answer: While considering only variables some times the results were not accurate. Residuals are the difference between the observed values and those predicted by the regression equation. (subtract mean, divide by standard deviation). The purpose here is to show how residual analysis can not only perform its usual statistical purpose (i.e. check model adequacy) but also serve as a final check for glitches. Besides, the authors share a graphical display of residual that retains in a single display, the information...
2 Pages(500 words)Essay

Regression Analysis

Lastly, regression analysis will be performed on statistically significant pairs of variables and regression line equation(s) of best fit will be written.
Using Excel’s Data Analysis-Sampling, random number for data for country was generated (Figure 1) and corresponding records were taken from population. Table 1 in appendix shows the sample for correlation and regression analysis.
Figure 3 shows the scatterplot of the GNP per head and the number of commercial vehicles. The relationship between the GNP per head and the number of commercial vehicles appears to be moderate (correlation, r = 0.556).
Table 2 shows the correlation matrix for variables GNP per head, Cars per head and number of Commercial vehicles. The correl...
4 Pages(1000 words)Essay

Linear Regression and Regression Analysis

Linear Regression and Regression Analysis Regression is a technique in statistics that enables estimation of the relation existing among variables. The technique seeks to estimate the strength of the relationship between one variable with another or a set of variables. However, when applying this technique, the statistician makes assumptions with regard to the variables and their relationship. Regression is based on the assumptions that there exists a linear relationship between the involved variables and that they have an additive relationship. There are many regression techniques one of them being linear regression. Linear regression refers to an approach that involves modeling the relationship that exists between a dependent v...
2 Pages(500 words)Assignment

Regression Analysis

...Crime Statistics and Regression Model Literature Review In order to gain a better understanding of a particular area of study, it is important to review the literature. This will provide the necessary background information and a better understanding of what has been done before and what further work needs to be done. A literature review provides information on conflicting information in different studies and may also provide information on the reliability of the information obtained on the basis of the data used and the methodology employed in carrying out the research studies. It may also provide valuable information on how best to conduct a study of this type based on the criticisms noted in other studies. It may also direct...
8 Pages(2000 words)Research Paper

Regression Analysis

... of unit Regression Analysis Table of content Introduction Assumption and Testing 5 Conclusion 5 Work Cited 6 Introduction Regression analysis estimates the extent to which two or more variables are related. Evaluation of the statistical relationship between two variants is fundamental in highlighting how one variable affects the other within a statistical setup. In this work, the focus is to employ various aspects of regression and correlation analysis to be able to explore how imports and export ratios affect the GDP of the UAE.The GDP values will take the Y axis (Independent variable) while the other two variants, X1 and X2 will be used as the dependent variables. The data used in this analysis is drawn from the world development...
3 Pages(750 words)Statistics Project

Regression Analysis

...Regression Analysis. Regression Analysis. Question a   Mean Standard Deviation   Minimum Maximum p 0.7104551050.453606951   0 1 v 57591.12472 73743.48832   -7600 832500 s 13.62533825 2.35277051   4 18 x 22.46838868 14.32613818   0 50 c 0.816236162 0.387339125   0 1 r 0.147601476 0.453398995   0 4 Question b (excel sheet: Regression2). Question c The parameters are as follows: Non-labor income (v), years of schooling (s), years of experience(x), white (c) and children (r). The coefficient p has p-value of 0.005348. it is thus statistically significant at significance level α=0.05 since p<0.05 The coefficient of v has p-value of 0 (6 decimal places). it is thus statistically significant...
1 Pages(250 words)Assignment

Internal and External Environmental Analysis for the Bakery Business

Liberalization of foreign investment and technology policy of the government is supportive of establishing industrial units in the country.

Threat: The UK food regulatory authority is planning to enforce the EC Regulations relating to food labeling. The labeling requirements under the new regulations will affect the food industry as the suppliers will be legally obliged to disclose the GM content of foods to the caterers. Thus business firms in the bakery industry also will be effected through the exclusion of flexible manner of labeling arrangements in the case of flour confectionery involving GM Soya or maize. (Genetically modified and novel foods (labeling) (England) regulations, 2000).

Trend: The new subs...
6 Pages(1500 words)Case Study

The Necessity of Job Analysis

The importance of job analysis in human resources is to help the management to ascertain and endorse the use of certain activities which take place in employment such as employment procedures such as training, choice of the appropriate employees, reparation as well as evaluation and appraisal. It helps in developing an organized database containing information concerning the job (Singh, P 2008 pp. 82-84).
Job analysis is significant into the employers when selecting the employees who are suitable for a particular position in the organization. In the recruitment process, it is usually possible to make mistakes with regard to employee selection. It enables the management to understand the content of advertisements for vacant po...
7 Pages(1750 words)Coursework

Analysis of OReilly v Mackman Case

Judicial review is a concept which is constitutionally undecided as it on one side, it shores up the rule of law, democracy, and pre-eminence of parliament by facilitating the courts to check the boundaries of government authority and on another side, the courts are open to the decision on the plants based on the fact of separation of authorities that are intimating with the verdicts of democratically elected institutions. Judicial review is not apprehended with the virtues of government assessment but deals with whether the deciding authority has remained within the legal boundaries and whether broad principles of rationality and fairness adhere. The constitutional basis of judicial review is debated as one view holds that it is...
8 Pages(2000 words)Case Study

Analysis of the Methods of 3 Research Papers about Child Abuse

Research ethics was maintained as the identity of the individuals participating was kept secret. As far as the validity of the study was concerned, the researchers attempted to use content validity in order to get an accurate response. The content validity focused on measuring off the ethnicities and gender percentages within the area and attempting to get a random sample of individuals via the phone. Their approach to random calling allowed for a significant random sample in the study. There were a few issues, however, with this type of approach. Those answering the phone sometimes were not always the desired individual, and not all of the desired people were surveyed. Different replacements did have to be used, and the attempt w...
6 Pages(1500 words)Literature review

Comparative Family Analysis

The second component of this essay will be a comparative analysis with the American family to the Arab family, generally speaking, but also clearly described by Homa Hoodfar, in her book Between Marriage and the Market. This essay will discuss the impact of globalization on different types of families in different societies and cultures. The terms ‘traditional’, ‘modern’ and ‘postmodern’ will be defined, elaborated upon and discussed on a continuum of change. Social change, in the face of globalization, will be discussed in relation to how cultures and families have grown or resisted the forces of globalization. We now turn to an exploration of the types of families in the world and follow...
6 Pages(1500 words)Coursework

Analysis of Tourism and Hospitality Law Case

 The main issue that needs to be tackled first is whether there is a valid contract between Richard Brat, carrying on trade as Brighton Greens, (buyer) and Molly and Kelly trading in First Grade Granny Smith apples as Holy Farm.

Apparently, there was, when considering their verbal and written mail sent by Richard to Holy Farm on August 1 reading as follows –“Please deliver 20 boxes –Granny Smith ‘Brighton Greens’. Cheque mailed.“

It may be seen that the mail order does not specify the category or grade of apples to be supplied, but one of the implied conditions of sale could be that the goods ordered need to correspond with the goods inspected and tested.

In th...
8 Pages(2000 words)Case Study

Economic Analysis of India

The country’s economy is fast growing with a stable political system that encourages foreign investment although with certain restrictions. The country generally has good energy, transport and communication systems which make the cost of doing business affordably.

The Republic of India found South of Asia is by far the world’s most populous democracy and ranks seventh largest in terms of geographical area (Brown, 1994). India is also the second most highly populated country in the world. The country has a rich culture with four major religions having originally emerged from it; Sikhism, Buddhism, Hinduism, and Jainism. The Indian Republic consists of seven union territories and 28 states and ranks twelfth la...
8 Pages(2000 words)Case Study

Airbus A 380: SWOT and Porters Five Forces Analysis

...INTTRODUCTION This paper is about the European Aero manufacturer, Airbus and its latest offering, the Airbus A 380. Much has been written about theAirbus A 380 and how it is the next generation of aircraft that makes it easier for long haul flights to carry more passengers with fewer or no stops enroute. After the Airbus A 380 was introduced, many called it a revolution in air travel with its emphasis on luxury travel as well as better amenities for economy class travel. In this paper, I look at the Airbus 380 from a critical perspective by analyzing the competition and using tools like SWOT and Porter’s Five Forces. STRATEGIC POSITION In this section, I look at the strategic position of Airbus in the context of the parameters that have...
6 Pages(1500 words)Case Study

Analysis of Educational Website

... Analysis of Educational Website Introduction Since antiquity, education remained a major component of human societies; however, until few decades ago, it existed in the society in its traditional and conventional form that involved one-to-one interaction of teachers with their students in classrooms. Since few years, educators and scholars have witnessed rapid advancements in the field of information and technology that has altered almost every sector of the society in a rapid manner, and so the education sector as well. In such advancements, internet has now become one of the most popular platforms for students, teachers, businesspersons, and individuals from every sector to acquire education and information within few clicks and minutes...
7 Pages(1750 words)Article

Analysis of Articles about Climate Change

...Climate change Can we imagine an Earth where there are no green mountains, no deep blue seas and no living creatures? No. But a disaster of such magnitude and dimension is looming over Earth. Humans have identified this threat, defined it and given it a name, global warming. This dangerous proposition is based on the truth that even a 5 % increase in the surface temperature on Earth can wipe out life from this beautiful planet. And the temperature is increasing as never before. It was in 1990s that the world began to hear serious warnings on global warming and climate change. The summary for policy makers prepared as part of the first assessment report by Inter-governmental Panel on Climate Change was the first ever in depth... change Can we ...
6 Pages(1500 words)Literature review

Regression Modelling and Analysis

... Abstract Regression Analysis is a major part of every business and is an important tool for business statistics. The straight line regression method has been focused upon. The paper provides complete explanation of the various regression methods, detailed explanation of the regression line using the least square methods and also the interpretation of the regression line. The paper provides a complete, clear and concise explanation of all the aspects of regression modelling and regression analysis. Introduction: Regression modelling and analysis forms an important aspect of business statistics. The paper begins with a detailed explanation of regression analysis and then focuses mainly on the straight line regression method. The formula...
7 Pages(1750 words)Term Paper
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Essay on topic How to Perform and Interpret Regression Analysis for FREE!

Contact Us