Explained and Unexplained Variation by Edu Pristine

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About the Lecture

The lecture Explained and Unexplained Variation by Edu Pristine is from the course Archiv - Quantitative Analysis. It contains the following chapters:

  • Explained and unexplained variation
  • Coefficient of determination
  • Examples of approximate
  • Correlation coefficient
  • Calculating the correlation coefficient

Author of lecture Explained and Unexplained Variation

 Edu Pristine

Edu Pristine


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Excerpts from the accompanying material

... RSS = Residual sum of squares TSS = Total sum of squares RSS = Sum of (yi- f(xi))2 ...

... factors other than the re lationship between x and y ESS = Explained sum of squares. Explained variation ...

... Total sum of Squares Sum of Squares Regression / Explained Sum of SquaresSum of Squares Error / Residual Sum of Squares  ...

... variable The coefficient of determination is also called R-s quared and is denoted as R2 ...

... independent variable case, the coefficient of determination is...

... explained by variatio n in x EduPristine For Quants-III (Confidential) 5 100% of the variation in y ...

... Weaker linear relationship between x and y: Some but not all of the variation in ...

... For Quants-III (Confidential)7 The value of Y does not depend on x. (None of the variation ...

... He assesses that three facto rs contribute heavily towards the growth and comes up with the following results: Y = b + 1.5 X 1+ 1.2X 2+ 3X 3 Sum of Squared ...

... The fraction of the variance of Y attributable to X is equal to: ...

... the correlation coefficient and measures the fraction of the variance ...

... free Range between -1 and 1 -The closer to -1, the stronger the negative linear relationship EduPristine For Quants-III (Confidential). The closer to -1, the stronger the negative linear ...