Homework 2

Homework 2 - STAT 6220 (Spring 2011) Homework 2 due on Feb...

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STAT 6220 (Spring 2011) Homework 2 – due on Feb 8. 1. By hand (Continued from homework 1) The accompanying data on x = treadmill run time to exhaustion (min) and y= 20km ski time (min) was taken from the article “Physiological Characteristic and Performance of Top U.S. Biathletes” (Medicine and Science in Sports and Exercise (1995): 1302—1300): x 7.7 8.4 8.7 9.0 9.6 9.6 10.0 10.2 10.4 11.0 11.7 y 71.0 71.4 65.0 68.7 64.4 69.4 63.0 64.6 66.9 62.6 61.7 P x = 106 : 3 , P x 2 =1040 : 95 , P y =728 : 70 , P xy =7009 : 91 , P y 2 =48 ; 390 : 79 a. Calculate and interpret a 95% confidence interval for ¯ 1 , the slope of the true regression line. b. Does the data strongly suggest that there is a negative (inverse) linear relationship between treadmill time and ski time? State and test the relevant hypothesis using a significance level of 0.05. (Note that this is one-sided test). c. Give the bounds of p-value for the test H : ¯ 1 =0 vs. H : ¯ 1 < 0 . d.
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Homework 2 - STAT 6220 (Spring 2011) Homework 2 due on Feb...

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