Which set(s) of points has (have) the strongest correlationPage 544Figure a, b, c, d, e, f ? moment correlation coefficient (PPMC), named after statistician Karl Pearson, whoThe linear correlation coefficient explained in this section is called the Pearson product544Chapter 10 Correlation and Regressionpsate migde pioneered the research in this area.No linearrelationshipStrong positivelinear relationshipFIGURE 10-4Strong negativelinear relationshipRange of Values for theCorrelation Coefficient+1-1FIGURE 10-5Relationship Between theCorrelation Coefficient andthe Scatter Plot•......(b) r = 0.90Sget (c) r= 1.00E-01 (a) r= 0.50nwoda(d) r= -0.50(e) r=-0.90(1) r=-1.00The range of the linear coriciation coeficient is from -1 to +1. If there is a strongpositive linear relationship btzesa he vdies, the value of r will be close to +1. Ifthere is a strong negative linear relotionsaig between the variables, the value of r will beclose to -1. When there is no linear relationship between the variables or only a weakrelationship, the value of r will be close to 0. See Figure 10-4. When the value of r is 0 orclose to zero, it implies only that there is no linear relationship between the variables. Thedata may be related in some other nonlinear way.denobelor to ogvi adi snimosProperties of the Linear Correlation Coefficient1. The correlation coefficient is a unitless measure.2. The value of r will always be between -1 and +1 inclusively. That is, -1 s r <.3. If the values of x and y are interchanged, the value of r will be unchanged.4. If the values of x and/or y are converted to a different scale, the value of r will beunchanged.5. The value of r is sensitive to outliers and can change dramatically if they are present indyat orls nio onoitelonoo lo q lthe data.entaThe graphs in Figure 10–5 show the relationship between the correlation coefficientsand their corresponding scatter plots. Notice that as the value of the correlation coefficientincreases from 0 to +1 (parts a, b, and c), data values become closer to a straight line andto an increasingly strong relationship. As the value of the correlation coefficient decreasesfrom 0 to -1 (parts d, e, and ƒ), the data values also become closer to a straight line. Agalthis suggests a stronger relationship.10-6

From the plots, the option c has the correlation value 1.00.

Answered: Which set(s) of points has (have) the…

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Which set(s) of points has (have) the strongest correlation Figure a, b, c, d, e, f ?

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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