l9 - STAT 350 Fall 2008 Lab #9 - SOLUTION For this lab, use...

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STAT 350 – Fall 2008 Lab #9 - SOLUTION For this lab, use the data set used on Lab #8. Recall that this data set gives measurements made on men involved in a physical fitness course at N.C. State University (and taken from the SAS documentation). The variables are: Age (in years) Weight (in kilograms) Oxygen Intake Rate (in ml per kg body weight per minute) Time to Run 1.5 miles (in minutes) Heart Rate (pulse) while Resting Heart Rate (pulse) while Running (taken at the same time Oxygen rate was measured) Maximum heart rate recorded while running All plots and analyses for this lab are to be done using SAS. Please put all SAS input (contents of the editor window) and all SAS output (contents of the Output window) as an appendix. Nothing pasted directly from SAS should be given as an answer to the questions below ( except for graphs )! 1. Predicting Oxygen Intake from Weight. a. Give the least squares regression equation to predict Oxygen Intake from Weight. ˆ 55.43795 0.10410 ow =− b. Using the plot option within PROC REG, give a scatter plot of Oxygen Intake versus Weight with the fitted regression line. Oxygen = 55. 438 - 0. 1041 Wei ght N 31 Rsq 0. 0265 Adj Rsq - . 0071 RMSE 5. 3461 35 40 45 50 55 60 65 Wei ght 70 75 80 85 90 95 Lab #9 - SOLUTION Page 1 of 10
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c. How much, on average, does Oxygen Intake change when a man gain 1 kg? 1 pound? 1 kg: It decreases, on average, 0.1041 units. 1 pound = 0.45359237 kilograms, so with a gain of 0.45359237 kg, the average oxygen intake should decrease 0.1041(0.45359237) = 0.047219 units d. Give the ANOVA table for the Regression Analysis. Source df Sum of Squares Mean Square F p Regression 1 22.55181 22.55181 0.79 0.3817 Residual/Error 29 828.82973 28.58034 Total 30 851.38154 e. What percent of the total variation in oxygen intake can be explained by the variation in the weights of these men? 2.65% This is just "R-Square" from the SAS output, represented as % instead of proportion f. What is the correlation between Oxygen Intake and Weight? 0.0265 = -0.162788 we know the correlation is negative, because the slope is negative g. Assume that the underlying model is (Oxygen Intake) = α + β (Weight) + e . Using SAS, give a 99% CI for the true value of .
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This note was uploaded on 02/23/2009 for the course STAT 350 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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l9 - STAT 350 Fall 2008 Lab #9 - SOLUTION For this lab, use...

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