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army1987 comments on 2012 Survey Results - Less Wrong
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"Siblings and Older siblings have correlation 0.48 (61 degrees), which isn't too surprising , but makes me wonder: do we expect this correlation to be 0.5 in general?"
In every sibling relationship, there is one older and one younger sibling, so half of all siblings are older siblings - a line with slope 0.5.
A correlation coefficient is not a slope. (A slope changes if you multiply one of the variables by a constant, whereas a correlation doesn't.)
EDIT: I think the slope is the correlation times the standard deviation of y divided by the standard deviation of x.