Suppose the correlation coefficient between a baby’s weight and the number of coffee shops in Plumville is 0.87. Which statement must be true?A.As the baby gains weight, the number of coffee shops tends to increase.B.As the baby gains weight, the number of coffee shops tends to decrease.C.The baby’s weight gain causes people to open more coffee shops.D.Having more coffee shops around causes the baby to gain weig
Question
Suppose the correlation coefficient between a baby’s weight and the number of coffee shops in Plumville is 0.87. Which statement must be true?A.As the baby gains weight, the number of coffee shops tends to increase.B.As the baby gains weight, the number of coffee shops tends to decrease.C.The baby’s weight gain causes people to open more coffee shops.D.Having more coffee shops around causes the baby to gain weig
Solution
The correct answer is A. "As the baby gains weight, the number of coffee shops tends to increase."
The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A correlation of 0.87 is a strong positive correlation, which means that as one variable increases, the other also tends to increase.
However, it's important to note that correlation does not imply causation. Just because two variables correlate does not mean that the increase or decrease of one variable causes the increase or decrease of the other one. So, options C and D are incorrect because they imply causation.
Option B is also incorrect because a positive correlation means that as one variable increases, the other also increases, not decreases.
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