Homework 1

Homework 1 - STAT 6220 (Spring 2011) Homework 1 due on...

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STAT 6220 (Spring 2011) Homework 1 – due on February 1 (By hand) (Use αൌ .05 for all testing problems) 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. Does a scatter plot suggest that the simple linear regression model is appropriate? b. Determine the equation of the estimated regression line, and draw the line on your scatter plot. c. Interpret the value of ^ ¯ 1 in the context of this problem.
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