To compute a Pearson correlation coefficient, data must be measured on an ordinal scale.   True or False

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section4.5: Analyzing Lines Of Fit
Problem 13E
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To compute a Pearson correlation coefficient, data must be measured on an ordinal scale.

 

True or False

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Step 1

Nominal: Nominal scales are used for labelling variables without any quantitative value.

               Ex: blood group of a person (A, B, AB, etc)

Ordinal: The ordinal scale contains things that you can place in order.

              Ex: Review of particular movie, obtained grades in particular class.

Interval: An interval scale has ordered numbers with meaningful divisions.

              Ex: Temperature is on the interval scale.

Ratio: The ration scale is exactly the same as the interval scale with one major difference.

              Ex: height(cm), weight(kg).        

Correlation coefficient = The correlation coefficient can be calculated as,

r = Cov (x, y)σx σy

Were,

σx is a standard deviation of x and,

σy is a standard deviation of y

The range of the correlation coefficient is -1 to 1 i.e. -1≤r≤1

                                                                                

 

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