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Correlation coefficient r

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Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r?

Row 1 20 26 34 43 51 69 72
Row 2 165 144 112 180 207 146 165

a) Calculate the correlation coefficient r, letting Row 1 represent x-values and Row 2 the y-values.

r = ??? (round to three decimal places)

b) Calculate the correlation coefficient r, letting Tow 2 represent x-values and Row 1 the y-values.

r = ??? (round to three decimal places)

c) What effect does switching the variable have on the correlation coefficient?

The correlation coefficient (increases, decreases, changes sign or remains unchanged) when the x-value and y-values are switched. (choose one)

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This solution answers questions regarding correlation coefficients.

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Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r?

Row 1 20 26 ...

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Sandhya Sharma, MSc
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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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