OpenStudy (anonymous):
The birthweights and lengths of newborns at a hospital have an upward sloping football shaped scatter diagram. For a baby on the 35th percentile of birthweights, the regression estimate of length a.is on the 35th percentile of lengths. b.is above the 35th percentile of lengths. c.is below the 35th percentile of lengths. d.cannot be placed relative to the 35th percentile of lengths, based on the information given.
OpenStudy (kropot72):
The z-score for the 35th percentile of birthweights is \[z _{1}=-0.385\] The value of the correlation coefficient r is 0 < r < 1 the reason being the upward sloping football shaped scatter diagram. When the z-score is calculated for the length by multiplying z1 by r the value will be less negative than the value of z1. Therefore the regression estimate of length will be above the 35th percentile of lengths.
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