To determine which options could use both intercepts to produce viable solutions, we should consider whether the two variables can be conceptualized in a linear relationship where intercepts make sense.
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Temperature, number of car rentals: This option could potentially work, as car rentals might depend on temperature (e.g., higher rentals in warmer weather).
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Years of experience, starting salary: This is a common relationship in labor economics. More years of experience typically relate to a higher starting salary, and both variables could have logical intercepts.
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Age, weight: This relationship can be more complicated. While there is some correlation, it may not produce clear intercepts that make sense in all contexts.
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Number of nominations, number of awards: This can also produce a logical relationship, as more nominations could correlate with more awards, but both could potentially be zero.
The most typical relationships where both intercepts make sense and can yield viable solutions are:
- Years of experience, starting salary: This is a clear and common correlation in career contexts.
Therefore, the best options that could use both intercepts to produce viable solutions are:
- Years of experience, starting salary.