• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Classical Assumptions
Classical Assumptions

correlation coefficient
correlation coefficient

Topic 1. Linear regression
Topic 1. Linear regression

Classic Regression Analysis in SAS
Classic Regression Analysis in SAS

3.5 notes
3.5 notes

doc - SSRIC
doc - SSRIC

Chapter 4 Model Adequacy Checking
Chapter 4 Model Adequacy Checking

Qualitative Dependent Variables
Qualitative Dependent Variables

... hours worked has a sizable pile up at zero. If we …t a linear conditional mean, we will likely predict negative hours worked for some individuals. The log transform used for wages will not work, as the log of zero is unde…ned. Another issues arises with sample selection. It may well be the case that ...
REPR: Chapter 2
REPR: Chapter 2

Extra Memory
Extra Memory

Conditional logistic regression using COXREG
Conditional logistic regression using COXREG

... Conditional logistic regression models are designed for situations in which one or more "cases," who show the response of interest, are matched with one or more "controls," who do not show the response. The most common situation involves 1-1 matching, though 1-N and M-N matching is also seen. (In or ...
Logistic Regression in SPSS PASW Statistics Logistic Regression
Logistic Regression in SPSS PASW Statistics Logistic Regression

Chapter 17: Introduction to Regression (bivariate only p. 563-580)
Chapter 17: Introduction to Regression (bivariate only p. 563-580)

... Introduction to Linear Regression (cont.) • Finally, the overall significance of the regression equation can be evaluated by computing an Fratio. • A significant F-ratio indicates that the equation predicts a significant portion of the variability in the Y scores (more than would be expected by cha ...
HW 2 - Marriott School
HW 2 - Marriott School

... data cover 39 consecutive weeks and isolate the area around Boston. The variables in this collection are shares. Marketing research often describes the level of promotion in terms of voice. In place of he level of spending, voice is the share of advertising devoted to a specific product. The column ...
Simple Regression - Villanova University
Simple Regression - Villanova University

May 3
May 3

17. simple linear regression ii
17. simple linear regression ii

Eviews Brief Tutorial
Eviews Brief Tutorial

Formulas needed for EOCT Arithmetic Sequences Geometric
Formulas needed for EOCT Arithmetic Sequences Geometric

Inference for least squares lines
Inference for least squares lines

Chapter 12
Chapter 12

exp obs - Mister Youn
exp obs - Mister Youn

The Standard Error of the Slope
The Standard Error of the Slope

x - My Teacher Pages
x - My Teacher Pages

... This tells you what the y-intercept and slope are. It also gives the standard error for each of the estimates. If you were to form confidence intervals for the parameter estimates, you would need these values. We won’t discuss that in this class. ...
math-stat2 - University of Vermont
math-stat2 - University of Vermont

... randomly permuted aginst the variables n times; results in n values of the variance of the coefficient of interest which we use as an experimental distribution • We can then compare the actual value of the variance against these values to obtain the experimental significance level ...
< 1 ... 76 77 78 79 80 81 82 83 84 ... 98 >

Coefficient of determination



In statistics, the coefficient of determination, denoted R2 or r2 and pronounced R squared, is a number that indicates how well data fit a statistical model – sometimes simply a line or a curve. An R2 of 1 indicates that the regression line perfectly fits the data, while an R2 of 0 indicates that the line does not fit the data at all. This latter can be because the data is utterly non-linear, or because it is random.It is a statistic used in the context of statistical models whose main purpose is either the prediction of future outcomes or the testing of hypotheses, on the basis of other related information. It provides a measure of how well observed outcomes are replicated by the model, as the proportion of total variation of outcomes explained by the model (pp. 187, 287).There are several definitions of R2 that are only sometimes equivalent. One class of such cases includes that of simple linear regression where r2 is used instead of R2. In this case, if an intercept is included, then r2 is simply the square of the sample correlation coefficient (i.e., r) between the outcomes and their predicted values. If additional explanators are included, R2 is the square of the coefficient of multiple correlation. In both such cases, the coefficient of determination ranges from 0 to 1.Important cases where the computational definition of R2 can yield negative values, depending on the definition used, arise where the predictions that are being compared to the corresponding outcomes have not been derived from a model-fitting procedure using those data, and where linear regression is conducted without including an intercept. Additionally, negative values of R2 may occur when fitting non-linear functions to data. In cases where negative values arise, the mean of the data provides a better fit to the outcomes than do the fitted function values, according to this particular criterion.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report