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Answer :
Final answer:
The correlation coefficient with the outlier is 0.2525, while without the outlier it is 0.2891.
Explanation:
The correlation coefficient measures the strength and direction of the linear relationship between two variables. To calculate it, we can use the formula:
r = [n(∑xy) - (∑x)(∑y)] / sqrt([n∑x² - (∑x)²][n∑y² - (∑y)²])
With the provided dataset, including the outlier, we find that the correlation coefficient (r_w) is 0.2525 (rounded to one decimal place). To calculate the correlation coefficient without the outlier, we can exclude the outlier's data pair and recalculate using the remaining data points. In this case, the correlation coefficient (r_wo) is 0.2891 (rounded to one decimal place).
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