To determine the best interpretation of the slope in the context of Old Faithful's geyser eruptions, we need to understand that the slope represents the change in the response variable (amount of water produced in gallons) for a one-unit change in the predictor variable (length of the eruption in minutes).
Based on the options you provided:
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Option A and B both provide specific predictions about the relationship between the eruption length and the amount of water produced, indicating a positive relationship where each additional minute of eruption correlates to a specific number of gallons of water produced.
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Option C and D incorrectly describe the slope in terms of minimum and maximum amounts, which is not appropriate as the slope indicates an average change rather than a fixed minimum or maximum value.
Given this understanding, the best interpretation of the slope is that it quantifies how much additional water is predicted to be produced for each additional minute of eruption length.
To choose between options A and B, one would need the actual slope value from the data analysis, which seems to indicate a positive correlation. If the slope value is approximately 1,350 gallons, then A would be correct. If it's around 1,567 gallons, then B would be correct.
Without that specific value, the answer cannot be definitively selected. However, in general, responses A or B would be appropriate interpretations of the slope depending on the calculated value.
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