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Topic  CORRELATION OF TWO VARIABLES Look at the data and Find the value of r in three ways/formulations  scatter chart & coe

Topic  CORRELATION OF TWO VARIABLES Look at the data and Find the value of r in three ways/formulations  scatter chart & coe

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Topic  CORRELATION OF TWO VARIABLES

Look at the data and Find the value of r in three ways/formulations 

  1. scatter chart & coefficient correlation
  2. and with formulation
X Y X Y X Y
22 18 19 25 11 17
15 16 7 36 5 6
9 31 6 27 26 45
7 8 46 45 19 30
4 2 11 18 8 18
45 36 27 18 1 3
19 12 19 37 9 7
26 16 36 42 18 28
35 47 25 20 46 21
49 22 16 12 9 25
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Follow-up Question

based on data above ( the table )

  1. Determine the regression equation in three different ways (using raw data,
    deviation data and standard data) by first determining the values of the coefficients b and a.
  2. Find the value of the correlation coefficient and write down the interpretation of the correlation coefficient with r2
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Follow-up Question

using that data above, please determine

  1. limit of correlation coefficient value
  2. prove the correlation value with the deviation data through the r formulation ( formula attached )
ir = xy Ex2Ey2
Transcribed Image Text:ir = xy Ex2Ey2
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