Consider the data on the right, (a) Draw a scatter diagram of the data and compu
ID: 3130034 • Letter: C
Question
Consider the data on the right, (a) Draw a scatter diagram of the data and compute the linear correlation coefficient. Draw a scatter diagram of the data and compute the linear correlation coefficient with the additional data point (10.3, 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? Draw a scatter diagram of the data with the additional data point The linear correlation coefficient for the five pieces of data is (Round to three decimal places as needed.) Comment on the effect the additional data point has on the linear correlation coefficient. The additional data point does not effect the linear correlation coefficient. The additional data point weakens the appearence of a linear association between the data points. The additional data point strengthens the appearence of a linear association between the data points. Explain why correlations should always be reported with scatter diagrams. The scatter diagram can be used to distinguish between association and causation.Explanation / Answer
a)
Plotting the points, it will be OPTION A. [CORRECT GRAPH]
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By technology, the correlation is
r = 0.144192811 = 0.144 [ANSWER]
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b)
Plotting the points, it will be OPTION D. [CORRECT GRAPH]
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By technology, the correlation is
r = 0.87561493
Hence, as r increased,
OPTION C: The additional data point strengthens the appearance of a linear association between the data points. [ANSWER]