Question

Assume that the residuals are independent, homoscedastic, and normal. Given the following summary information: r =...

Assume that the residuals are independent, homoscedastic, and normal. Given the following summary

information: r = -0.6 . If the percentile rank of x is 35.0% , predict the percentile rank of y

with the help of the regression line.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1
  1. transform the percentile rank for x into standard units by using the normal table.
  2. multiply x by the correlation coefficient to obtain the predicted y in standard units.
  3. Use the normal curve again to go from y in to a percentile

It means that

Compute z​​​​​​y = z​​​​​​x × r.

Thus the required percentile rank of Y is 59.5%.

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