Lab8 - Lab #8 Scatter Plots and Correlation SOLUTION Due...

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Lab #8 – Scatter Plots and Correlation SOLUTION Due Friday, April 11, 2008 at the beginning of class For this lab we will use two data sets. The data sets are available in the accompanying Excel Workbook. Fitness The first data set is on the worksheet titled “Fitness”. This data set gives measurements made on men involved in a phyical 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 Children The second data set is on the worksheet titled “Children”. The data set is from Lewis and Taylor, 1967 ( and taken from the SAS documentation.) The variables are: Age (in months) Height (in inches) Weight (in pounds) 1. For the following questions, use the “Fitness” data set. a. Make a nice table giving the Pearson Correlation Coefficients for all pairs of variables in this data set. Use SAS to get the correlations, but do not paste SAS output here. Age Weight Oxygen Intake Run Time Resting Pulse Running Pulse Max. Pulse Age 1.000 -.234 -.305 0.189 -.164 -.338 -.433 Weight 1.000 -.163 0.144 0.044 0.182 0.249 Oxygen Intake 1.000 -.862 -.399 -.398 -.237 Run Time 1.000 0.450 0.314 0.226 Resting Pulse 1.000 0.352 0.305 Running Pulse 1.000 0.930 Max. Pulse 1.000
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b. Using Excel, make a nice scatter plot of the maximum heart rate (on the y axis) against the heart rate while running (on the x axis). Give the plot and give the Pearson Correlation coefficient for these two variables. The Pearson Correlation Coefficient between Maximum Pulse and Running Pulse is 0.92975 . (no credit for giving r 2 ) 150 155 160 165 170 175 180 185 190 195 200 140 145 150 155 160 165 170 175 180 185 190 Running Pulse Maximum Pulse
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c. Using Excel, make a nice 1 scatter plot of the weight(on the y axis) against the age (on the x axis). Give the plot and give the Pearson Correlation coefficient for these two variables. The Pearson Correlation Coefficient between Age and Weight is -0.23354 (no credit for giving r 2 ) 50 60 70 80 90 100 35 40 45 50 55 60 Age Weight (kg)
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2. For the following questions, use the “Children” data set. a. Using SAS, find the correlation between height and age for boys. 0.74656 b. Using SAS, find the correlation between height and age for girls. 0.54385 c. Using SAS, plot height (on y -axis) against age (on x -axis) for all children. Use the child’s gender as the points on the plot. (That is, the points for girls would be “f” and the points for boys would be “m”.) Plot of height*age. Symbol is value of sex. height ‚
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This note was uploaded on 03/09/2010 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue University.

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Lab8 - Lab #8 Scatter Plots and Correlation SOLUTION Due...

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