Babies Typically Learn to Crawl Approximately 6 Months After Birth

Multiple Choice

Babies typically learn to crawl approximately 6 months after birth. However, it may take longer for babies to learn to crawl in the winter, when they are often bundled in clothes that restrict their movement. Thus, there may be an association between a baby's crawling age and the average temperature during the month they first try to crawl. Below are the average ages (in weeks) at which babies began to crawl for a sample of babies born in each of the 12 months of the year. In addition, the average temperature (in °F) for the month that is 6 months after the birth month is listed.
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$$\begin{array} { | l | l | l | } \hline \text { Birth month } & \text { Average crawling age } & \text { Average temperature } \\\hline \text { January } & 29.84 & 66 \\\hline \text { February } & 30.52 & 73 \\\hline \text { March } & 29.70 & 72 \\\hline \text { April } & 31.84 & 63 \\\hline \text { May } & 28.58 & 52 \\\hline \text { June } & 31.44 & 39 \\\hline \text { July } & 33.64 & 33 \\\hline \text { August } & 32.82 & 30 \\\hline \text { September } & 33.83 & 33 \\\hline \text { October } & 33.35 & 37 \\\hline \text { November } & 33.38 & 48 \\\hline \text { December } & 32.32 & 57 \\\hline\end{array}$$ We want to investigate whether the average age at which infants begin to crawl (y) can be predicted from the average outdoor temperature (x) 6 months after birth, when the babies are likely to begin crawling. We decide to fit a least-squares regression line to the data, with x as the explanatory variable and y as the response variable. We compute the following quantities:
R = correlation between x and y = -0.7
X?= mean of the values of x = 50.25
?= mean of the values of y = 31.77
S_x = standard deviation of the values of x = 15.85
S_y = standard deviation of the values of y = 1.76
Suppose that instead of recording the average crawling ages of babies and average temperatures 6 months after their birth, we recorded the actual crawling age of babies and the outdoor temperature exactly 6 months after their birth. Which of the following statements best describes the resulting correlation?

A) The correlation for the actual data would be larger in absolute value than for the averaged datA)
B) The correlation for the actual data would be smaller in absolute value than for the averaged data.
C) The correlation for the actual data would be identical to that for the averaged data.
D) The correlation for the actual data would be exactly the opposite of that for the averaged data.