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One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prior to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not very reliable. In a groundbreaking study, scientists examined the relationship between age and a blood test measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 4. Construct a residual plot and comment on any unusual features of the residual plot. (inciuding influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r² in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r2 when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of sSe. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least squares regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined to be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims. Explain why if not.

One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prior to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not very reliable. In a groundbreaking study, scientists examined the relationship between age and a blood test measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 4. Construct a residual plot and comment on any unusual features of the residual plot. (inciuding influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r² in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r2 when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of sSe. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least squares regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined to be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims. Explain why if not.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prior to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not very reliable. In a groundbreaking study, scientists examined the relationship between age and a blood test measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 4. Construct a residual plot and comment on any unusual features of the residual plot. (inciuding influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r2 in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r? when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of sę. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least squares regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined to be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims. Explain why if not.
Transcribed Image Text:One of the tasks that forensic scientists face is estimating the age of an unidentified crime victim. Prior to 2010, this was usually done by analyzing teeth and bones, and the resulting estimates were not very reliable. In a groundbreaking study, scientists examined the relationship between age and a blood test measure. They recorded age and the blood test measure for 195 people ranging in age from 7 to 80 years. The scientists were interested in predicting age using the blood test measure. The following sample of 15 people will be used in this problem Blood test measure Age -8 19 -6 12 -11 42 -8 22 -13 58 -15 77 -14 70 -6 7 -12 45 -10 37 -9 35 -7 20 -9 28 -13 65 -12 75 4. Construct a residual plot and comment on any unusual features of the residual plot. (inciuding influential observations and outliers, unusual patterns) 5. Calculate and interpret the value of r2 in context of this study. 6. Explain why it would also be informative to look at the value of s, in addition to the value of r? when evaluating the usefulness of the least squares regression line. 7. Calculate and interpret the value of sę. 8. Based on your answers to parts 4 to 7, do you think it is appropriate to use the least squares regression line to predict the age of a victim using the blood test measure? Explain. 9. Two unidentified crime victims were found. The values of blood test measure are determined to be -10 for the first victim and -4 for the second victim. Predict (if possible) the age of the victims. Explain why if not.
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