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Which of the following pairs do not suggest a positive correlation?number of workers and time to finish a certain work.family members and pieces of clothes to washsalary income and expendituressalary income and educational attainment

Question

Which of the following pairs do not suggest a positive correlation?number of workers and time to finish a certain work.family members and pieces of clothes to washsalary income and expendituressalary income and educational attainment

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Solution

The pair that does not suggest a positive correlation is "number of workers and time to finish a certain work".

Here's why:

  1. Positive correlation means that as one variable increases, the other variable also increases. In other words, they move in the same direction.

  2. In the case of "number of workers and time to finish a certain work", it is generally expected that as the number of workers increases, the time to finish a certain work decreases. This is because more workers can share the workload and complete the task faster. Therefore, these two variables move in opposite directions, suggesting a negative correlation.

  3. On the other hand, the other pairs ("family members and pieces of clothes to wash", "salary income and expenditures", "salary income and educational attainment") all suggest a positive correlation.

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