Consider the data on the night. (a) Draw a scatter diagram of the data and compu
ID: 3159067 • Letter: C
Question
Consider the data on the night. (a) Draw a scatter diagram of the data and compute the linear correlation coefficient, (b) Draw a scatter diagram of the data and compute the linear correlation coefficient with the additional data point (10,4,9,3) Comment on the effect the additional data point has on the linear correlation coefficient. Explain why correlations should always be reported with scatter diagrams. Which of the following best represents the data? The linear correlation coefficient for the four places of data isExplanation / Answer
a)
Doing a scatter plot, we see that the correct plot is
OPTION A. [ANSWER]
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Using technology, the correlation is
r = 0.012003506 [ANSWER]
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b)
Doing a scatter plot for the additional point (10.4, 9.3), the correct plot is
OPTION B. [ANSWER]
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Using technology, the new correlation is
r = 0.868428391 [ANSWER]
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As we can see, the correlation became larger, so
OPTION C: The additional data point strengthens the appearance of a linear association between the data points. [ANSWER]
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As we can see, the correlation above is "fake", as only the outlier caused the great correlation. Hence,
OPTION A: The scatter diagram can be used to see if the correlation coefficient is being affected by the presence of outliers. [ANSWER]
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Hi! There are many different technologies available, like graphing calculators, spreadsheets, and you can even find some online tools in specific problems like this (correlation coefficient). Thanks!