• 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
cheese.pdf
cheese.pdf

... (c) Taste (y) is the response variable (y) of interest. Obtain the sample correlation coefficients between taste and the three independent variables, log acetic acid concentration, x1 , log hydrogen sulfide x2 and lactic acid concentration x3 . (Independent variables have already been transformed i ...
Appendix 1 : Regression and individual conditional
Appendix 1 : Regression and individual conditional

Logistic regression - UC Davis Plant Sciences
Logistic regression - UC Davis Plant Sciences

... and males classified as females change as the “critical” shapeX is varied from the minimum to the maximum. In the case of diagnosis and signal detection, this relationship is important to assess the consequences of making mistakes and in deciding the overall performance of the test. Because the subj ...
Lecture Notes for Week 7
Lecture Notes for Week 7

1 - Homework Market
1 - Homework Market

Regression - Rose
Regression - Rose

... • Specifies relationship of a dependent variable to one or more independent variables. • Come up with a formula for the relationship, like: y = a + bx Actually, E(Y | x) = α + βx, where E(Y | x) is the expected value of Y given x. ...
Residual
Residual

Theoretical Framework
Theoretical Framework

Review of Probability and Statistics
Review of Probability and Statistics

... can be written as P(y = 1|x) = b0 + xb A drawback to the linear probability model is that predicted values are not constrained to be between 0 and 1 An alternative is to model the probability as a function, G(b0 + xb), where 0
Specification parameters for linear estimators in probability
Specification parameters for linear estimators in probability

... populations I, II, III and IV with ρ = 0.162, ρ = 0.395, ρ = 0.51 and ρ = 0.91, respectively describing four moment conditions of “weak correlation”, “moderate correlation”, “ high correlation” and “very high correlation” are used in the Expression (29) to obtain the approximate values of k. The res ...
Analysis of Variance
Analysis of Variance

Least-Squares Regression Line
Least-Squares Regression Line

3. Statistical Inference ENEE 759D | ENEE 459D | CMSC 858Z
3. Statistical Inference ENEE 759D | ENEE 459D | CMSC 858Z

Basic Statistcs Formula Sheet
Basic Statistcs Formula Sheet

ECON 681-001 Seminar in Mathematical Statistics and Econometric Methods
ECON 681-001 Seminar in Mathematical Statistics and Econometric Methods

ANOVA and linear regression
ANOVA and linear regression

Interpreting Complex Nonlinear Models
Interpreting Complex Nonlinear Models

Topic 1: Binary Logit Models
Topic 1: Binary Logit Models

Thomas Wakefield - Neas
Thomas Wakefield - Neas

... Next, we examined the explanatory variables whose t-statistics were not significant. This included many of the variables in the model, including median income, male labor force participation rate, percent of population with high school education or more, state population, the number of prisoners, th ...
Chapter 10: Re-Expressing Data: Get it Straight
Chapter 10: Re-Expressing Data: Get it Straight

Regression Line
Regression Line

Name - TeacherWeb
Name - TeacherWeb

SIMPLE LINEAR REGRESSION
SIMPLE LINEAR REGRESSION

Unobservable individual effects in unbalanced panel data
Unobservable individual effects in unbalanced panel data

Datamining @ ARTreat Project
Datamining @ ARTreat Project

...  Further investigation needed into the data and the “outlier” values, although it is only a small number of them ...
< 1 ... 68 69 70 71 72 73 74 75 76 ... 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