Homework Clinic
Mathematics Clinic => Statistics => Topic started by: genevieve1028 on Aug 30, 2019
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Question 1
A scatterplot of log(Y) vs. log(X) reveals a linear pattern with very little scatter. It is probably true that…
◦ the correlation between X and Y is near 0.
◦ the scatterplot of Y vs X shows a linear association.
◦ the calculator's LnReg function will model the association between X and Y.
◦ the residuals plot for regression of Y on X shows a curved pattern.
◦ the correlation between X and Y is near +1.
Question 2
Blood pressure and cholesterol Suppose that both blood pressure and cholesterol levels of adult women can be described with Normal models, and that the correlation between these variables is 0.60. If a woman's blood pressure places her at the 88th percentile, at what percentile would you predict her cholesterol level to be?
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Answer 1
the residuals plot for regression of Y on X shows a curved pattern.
Answer 2
Correlation: r = 0.60; Blood pressure at 88th percentile: zBP = 1.175
Regression to the mean predicts that zC will be r times as far from 0 as zBP was.
zC = 0.60 zBP = 0.60(1.175) = 0.705, so cholesterol will be approximately the 76th percentile.
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