hwRegressionDavid

# hwRegressionDavid - Statistics 21 Homework 3 1 A student...

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Statistics 21: Homework 3 1. A student scores at the 90th percentile on a midterm examination. All previous semesters of the class have resulted in an approximately football shaped scatter plot of ﬁnal exam scores versus midterm scores, and the historical correlation between these two quantities is consis- tently 0.8. Predict the student’s percentile on the ﬁnal exam. 2. Sociologists are studying the relationship between a husband and wife’s heights. Based upon a large data set of married couples, the average husband’s height is 68 inches with a standard deviation of 3 inches, and the average wife’s height is 63 inches with a standard deviation of 2.5 inches. The correlation between these variables is 0.8, and the scatter plot is approximately football shaped. (a) A particular married woman is 68 inches tall; estimate her husband’s height. (b) What is the RMS error of your estimate in the previous question? (c) Approximately what proportion of married women who are 68 inches tall have a husband

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## This note was uploaded on 10/12/2008 for the course STAT 21 taught by Professor Anderes during the Spring '08 term at Berkeley.

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hwRegressionDavid - Statistics 21 Homework 3 1 A student...

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