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Tâi-uân Thih-lōo Kuán-lí-kio̍k. Taiwan Railways Administration ( TRA) [I] was a governmental agency in Taiwan which operated Taiwan Railway from 1948 to 2023. It managed, maintained, and operated conventional passenger and freight railway services on 1,097 km (682 mi) of track. [1] Passenger traffic in 2018 was 231,267,955.
Porsche 919 Evo - Overall record holder on the modern 20,832 m (12.944 mi) full layout with a time of 5:19.546 minutes Volkswagen I.D. R - Overall electric record holder on the modern 20,832 m (12.944 mi) full layout with a time of 6:05.336 minutes Porsche 956 - Former overall record holder with a time of 6:11.13 minutes set during a qualifying session in 1983
CBS Interactive. Archived from the original on 13 September 2014. Retrieved 26 August 2015. ^ Nunneley, Stephany (26 October 2012). "2012 Golden Joystick Awards – Skyrim wins Ultimate Game of the Year". VG247. Archived from the original on 30 October 2012. Retrieved 26 August 2015.
amtrak .com. The National Railroad Passenger Corporation, doing business as Amtrak ( / ˈæmtræk /; reporting marks AMTK, AMTZ ), is the national passenger railroad company of the United States. It operates inter-city rail service in 46 of the 48 contiguous U.S. states and three Canadian provinces. Amtrak is a portmanteau of the words America ...
- Definitions
- Interpretation
- Extensions
- Comparison with Norm of Residuals
- History
- See Also
- Further Reading
A data set has n values marked y1,...,yn (collectively known as yi or as a vector y = [y1,...,yn]T), each associated with a fitted (or modeled, or predicted) value f1,...,fn (known as fi, or sometimes ŷi, as a vector f). Define the residuals as ei = yi − fi (forming a vector e). If y ¯ {\displaystyle {\bar {y}}} is the mean of the observed data: 1....
R2 is a measure of the goodness of fit of a model. In regression, the R2 coefficient of determination is a statistical measure of how well the regression predictions approximate the real data points. An R2of 1 indicates that the regression predictions perfectly fit the data. Values of R2 outside the range 0 to 1 occur when the model fits the data w...
Adjusted R2
The use of an adjusted R2 (one common notation is R ¯ 2 {\displaystyle {\bar {R}}^{2}} , pronounced "R bar squared"; another is R a 2 {\displaystyle R_{\text{a}}^{2}} or R adj 2 {\displaystyle R_{\text{adj}}^{2}} ) is an attempt to account for the phenomenon of the R2 automatically increasing when extra explanatory variables are added to the model. There are many different ways of adjusting. By far the most used one, to the point that it is typically just referred to as adjusted R, is the cor...
Coefficient of partial determination
The coefficient of partial determination can be defined as the proportion of variation that cannot be explained in a reduced model, but can be explained by the predictors specified in a full(er) model.This coefficient is used to provide insight into whether or not one or more additional predictors may be useful in a more fully specified regression model. The calculation for the partial R2 is relatively straightforward after estimating two models and generating the ANOVA tables for them. The c...
Generalizing and decomposing R2
As explained above, model selection heuristics such as the Adjusted R 2 {\displaystyle R^{2}} criterion and the F-test examine whether the total R 2 {\displaystyle R^{2}} sufficiently increases to determine if a new regressor should be added to the model. If a regressor is added to the model that is highly correlated with other regressors which have already been included, then the total R 2 {\displaystyle R^{2}} will hardly increase, even if the new regressor is of relevance. As a result, the...
Occasionally, the norm of residuals is used for indicating goodness of fit. This term is calculated as the square-root of the sum of squares of residuals: 1. norm of residuals = S S res = ‖ e ‖ . {\displaystyle {\text{norm of residuals}}={\sqrt {SS_{\text{res}}}}=\|e\|.} Both R2 and the norm of residuals have their relative merits. For least square...
The creation of the coefficient of determination has been attributed to the geneticist Sewall Wrightand was first published in 1921.
Nash–Sutcliffe model efficiency coefficient (hydrological applications)Gujarati, Damodar N.; Porter, Dawn C. (2009). Basic Econometrics (Fifth ed.). New York: McGraw-Hill/Irwin. pp. 73–78. ISBN 978-0-07-337577-9.Hughes, Ann; Grawoig, Dennis (1971). Statistics: A Foundation for Analysis. Reading: Addison-Wesley. pp. 344–348. ISBN 0-201-03021-7.Kmenta, Jan (1986). Elements of Econometrics (Second ed.). New York: Macmillan. pp. 240–243. ISBN 978-0-02-365070-3.Lewis-Beck, Michael S.; Skalaban, Andrew (1990). "The R-Squared: Some Straight Talk". Political Analysis. 2: 153–171. doi:10.1093/pan/2.1.153. JSTOR 23317769.Jann Mardenborough (born 9 September 1991) is a British professional racing driver. In 2011 he became the third and youngest winner of the GT Academy competition, beating 90,000 entrants to earn a professional racing contract with Nissan.[2] He had no previous motorsport experience, having played sim racing video games instead. During his ...
The University of California, Los Angeles (trophy room pictured) has won the Men's Division I Basketball Championship a record 11 times. The National Collegiate Athletic Association (NCAA) Division I men's basketball tournament is a single-elimination tournament for men's college basketball teams in the United States. ...
