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General theoretical notions on univariate regression

Author

Listed:
  • Constantin ANGHELACHE

    (Academia de Studii Economice din Bucuresti/Universitatea „Artifex„ din Bucuresti)

  • Ion PARTACHI

    (Academia de Studii Economice a Moldovei, Chisinau)

  • Madalina-Gabriela ANGHEL

    (Universitatea „Artifex„ din Bucuresti)

  • Gyorgy BODO

    (Academia de Studii Economice din Bucuresti)

  • Radu STOIAN

    (Academia de Studii Economice din Bucuresti)

Abstract

In this article, the authors started from the fact that in general, the concept of conditional probability and the conditional linear probability in terms of orthogonal projections are common to the crowd of linear functions. Against this background, a presentation on the main conditionality involved in univariate regression was conducted. Thus, linearity, uncolinerity and conditional normality are presented and demonstrated. At the same time, homoscedasticitate conditioning is highlighed. Further, the presentation of conditions linearity and homoscedasticitate is based on the concept of error highlighting to be considered for univariate regression. Further, it points out that the estimation is performed by the method of least squares parameter which reduces to beta estimation. Another element considered and clarified concerns the replacement of the probability through the distribution probability sampling, that is subject to minimization criterion.

Suggested Citation

  • Constantin ANGHELACHE & Ion PARTACHI & Madalina-Gabriela ANGHEL & Gyorgy BODO & Radu STOIAN, 2016. "General theoretical notions on univariate regression," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 64(11), pages 136-144, November.
    • Handle: RePEc:rsr:supplm:v:64:y:2016:i:11:p:136-144
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    References listed on IDEAS

    as
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    6. Constantin Anghelache & Cristina SACALÃ, 2016. "Multiple linear regression used to analyse the corelation between GDP and some variables," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 64(9), pages 94-99, September.
    Full references (including those not matched with items on IDEAS)

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