To determine the correct statement about the outlier in Blake's data set, we first analyze the meaning of the outlier in the context of the given scatterplot.
The outlier point is (2.5, 98), which is located above the cluster of points that represent the general relationship between rainfall and average daily temperature. This indicates that, for a rainfall measurement of 2.5 inches, the average daily temperature is notably higher (98 degrees Fahrenheit) than what is observed for the other data points.
Now, let's evaluate the statements:
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Blake should not include the outlier because it overstates the effect of rainfall on temperature. - This suggests that the outlier is skewing the perception of a strong positive relationship; however, given that it's much higher than the others, it may not necessarily indicate an overstated relationship.
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Blake should include the outlier because it shows there is no relationship between rainfall and average daily temperature. - Including the outlier does not demonstrate a lack of relationship; rather, it suggests that there may still be a relationship.
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Blake should not include the outlier because it understates the effect of rainfall on temperature. - This statement is misleading as it implies that removing the outlier would reveal a stronger relationship, which is not supported.
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Blake should include the outlier because it shows there is a relationship between rainfall and temperature. - This view acknowledges that the outlier still contributes information about the relationship, indicating that higher rainfall can correspond to higher temperatures in this specific instance.
Given this analysis, the most accurate statement regarding the outlier in the data set is:
Blake should include the outlier because it shows there is a relationship between rainfall and temperature.
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