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
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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