To determine which option could use both intercepts to produce viable solutions, we need to consider how each pair of variables can logically produce intercepts that make sense.
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A. (years of experience, starting salary):
- The intercept for years of experience could represent the salary at zero years of experience, which could be a viable solution.
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B. (number of nominations, number of awards):
- This pair does not naturally produce sensible intercepts because having zero nominations could imply zero awards, but that scenario might not provide meaningful insights or data.
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C. (age, weight):
- The intercepts don't provide useful information as age can start from zero (newborn) but could have different weight values without leading to meaningful or realistic interpretations for the intercepts.
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D. (temperature, number of car rentals):
- The intercepts in this case could represent what happens at a set point of temperature when considering demand (number of car rentals could feasibly be expected to drop at extremely low temperatures or increase at moderate temperatures).
Based on this analysis, the best option is:
A. (years of experience, starting salary)
This option allows both intercepts to be used to produce logical and viable economic interpretations.