As x increases, does the value of r imply that y should tend to increase, decrease, or remain the same? Explain.
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Since r is zero, as x increases, y decreases.
Since r is negative, as x increases, y remains the same.
Since r is negative, as x increases, y decreases.
Since r is positive, as x increases, y increases.
Since r is positive, as x increases, y remains the same.
Negative r = inverse relationship, while positive r = direct relationship. Does that help?
To answer this question, we need to understand the relationship between the variables x, y, and r. In this context, it seems that r is a constant that is related to the relationship between x and y.
If r is zero, it means that there is no relationship between x and y. In this case, as x increases, the value of y could increase, decrease, or remain the same. So the statement "Since r is zero, as x increases, y decreases" is incorrect.
If r is negative, it means there is a negative relationship between x and y. In other words, as x increases, y decreases. So the statement "Since r is negative, as x increases, y decreases" is correct.
If r is positive, it means there is a positive relationship between x and y. In this case, as x increases, y also increases. So the statement "Since r is positive, as x increases, y increases" is correct.
Based on the given options, the correct answer is "Since r is negative, as x increases, y decreases."