Development of n-variable Regression Model

  • Krishna Kumar Chaudhary PhD Scholar, OPJS University, Churu, Rajasthan, India; Assistant Professor, Madan Bhandari Memorial Academy Nepal, Urlabari 3, Morang, Nepal.
  • Anjay Kumar Mishra Post Doctoral Research Scholar, Srinivas University, India; Associate Professor, Madan Bhandari Memorial Academy Nepal, Urlabari3, Morang, Nepal.

Abstract

Regression is one of the most applied   models for forecasting dependent variable based on known independent variable.    The article introduces regression as existence of relationship between dependent and one or more independent variables. The researcher generalizes regression of three variables to n-variable by induction method with the help of cofactor of a matrix, so that it will assist to the predictor and estimator to estimate and predict dependent variable with the help of independent variables. The required regression equation for n variable can be expressed as


+


Where , , , , and are cofactors of n-variable correlation coefficient matrix where next that sigma denotes the standard deviation of the individual variable. This is highly significant for forecasting. so, its algorithm should be introduced in computing system after empirical validation. 


How to cite this article:
Chaudhary KK, Mishra AK. Development of n-variable Regression Model. J Adv Res Appl Math Stat 2021; 6(1&2): 1-3.


DOI: https://doi.org/10.24321/2455.7021.202101

References

1. Aldrich J. Correlations Genunine and Spurious in Pearson and Yule. Statistical Science 1995; 10(4): 364-376. http://uk.jstor.org/cgibin/jstor/printpage/08834237/di984050/98p004 assessed on 11 April 2021
2. Student. Probable error of correlation coefficient. Biometrika 1908; 6: 302-310.
3. Yule GU. Notes on the Theory of Association Attributes in Statistics. Biometrika 1903; 2: 121-134.
4. Cameron AC. Trivedi PK. Regression analysis of count data. Cambridge: Cambridge University Press 1998.
5. Chaudhary KK, Mishra AK. Impact of Agriculture on Economic Development of Nepal using Statistical Model. J Adv Res Alt Energ Env Eco 2021; 8(2): 1-3.
Published
2021-05-07
How to Cite
CHAUDHARY, Krishna Kumar; MISHRA, Anjay Kumar. Development of n-variable Regression Model. Journal of Advanced Research in Applied Mathematics and Statistics, [S.l.], v. 6, n. 1&2, p. 1-3, may 2021. ISSN 2455-7021. Available at: <http://thejournalshouse.com/index.php/Journal-Maths-Stats/article/view/101>. Date accessed: 02 may 2024.