Question

# For workers on an assembly line the number of weeks on the line, the explanatory variable,...

For workers on an assembly line the number of weeks on the line, the explanatory variable, and the number of rejects (unacceptable assemblies), the response variable, were recorded during a typical month of work. It was found that the correlation coefficient between the variables was r = -0.61. On the average, does the number of rejects increase, decrease or stay the same as the number of weeks on the line increases?

Answer choices A Stays the same B Increases C Decreases

Given :

correlation coefficient between the variables , r = - 0.61

since the correlation coefficient is negative , the two variables move in opposite direction .

A negative correlation means that there is an inverse relationship between two variables.

That is , as one variable increases other variable decreases.

Similarly if one variable decreases other varible increases.

Therefore , On the average , the number of rejects Decreases as the the number of weeks on the line increases.

So the correct answer choice is C Decreases

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