Homework11key

# Homework11key - Homework 11(6 points due Dec 7(2 pts...

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1 Homework 11 (6 points) due Dec. 7 (2 pts.) 11.30 (p.534). An article recommended the following estimated regression equation for relating y = VO 2 max (L/min, a measure of cardiorespiratory fitness) to the predictors x 1 = gender (female = 0, male = 1), x 2 = weight (lb), x 3 = 1-mile walk time (min), and x 4 = heart rate at the end of the walk (beats/min): = 3.5959 + 0.6566 x 1 + 0.0096 x 2 0.0996 x 3 0.0080 x 4 a) How would you interpret the estimated coefficient b 3 = -0.0996? b 3 = the estimated change of VO 2 max is -0.0996 L/min when the 1-mile walk time is increased by 1 min assuming that the gender, weight and heart rate at the end of the walk are constant. b) How would you interpret the estimated coefficient b 1 = 0.6566? b 1 : the estimated change of VO 2 max is 0.6566 L/min between females (x 1 = 0) and males (x 1 = 1) assuming that the weight, 1-mile walk time and heart rate at the end of the walk are constant. c) Suppose that an observation made on a male whose weight was 170 lb, walk time was 11 min, and heart rate was 140 beats/min resulted in VO 2 max = 3.15. What would you have predicted for VO 2 max in this situation, and what is the value of the corresponding residual? = 3.5959 + 0.6566 (1) + 0.0096 (170) 0.0996 (11) 0.0080 (140) = 3.6689 e i = 3.15 3.6689 = -0.5189 d) Using SSE = 30.1033 and SST = 102.3922, what proportion of observed variation in VO 2 max can be attributed to the model relationship?

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