To determine which of the provided pairs can use both intercepts to produce viable solutions, we need to consider the context of the data represented by each pair.
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(years of experience, starting salary): This could potentially use both intercepts, as a person with zero years of experience may have a starting salary based on their qualifications.
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(temperature, number of car rentals): This might not have an intercept for "temperature" because a temperature of zero could be non-viable for rental activity.
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(number of nominations, number of awards): This could also work, as having zero nominations would lead to zero awards, but the relationship may not apply well at the extreme ends.
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(age, weight): Age could theoretically affect weight differently at extreme ends, but both could be viable (a newborn's weight can be measured).
Among these pairs, the best option that could utilize both intercepts effectively for viable solutions is:
(years of experience, starting salary)
This pair allows for a practical and interpretable model of how salaries typically start based on rising experience levels, with both intercepts representing meaningful data points.
1 answer