Sleep Deprivation A study wasconducted to determine the

Chapter 12, Problem 11

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Sleep Deprivation A study wasconducted to determine the effects of sleepdeprivation on peoples ability to solve problemswithout sleep. A total of 10 subjects participated inthe study, two at each of five sleep deprivationlevels8, 12, 16, 20, and 24 hours. After his or herspecified sleep deprivation period, each subject wasadministered a set of simple addition problems, andthe number of errors was recorded. These results wereobtained:Number of Errors, y 8, 6 6, 10 8, 14Number of Hours without Sleep, x 8 12 16Number of Errors, y 14, 12 16, 12Number of Hours without Sleep, x 20 24a. How many pairs of observations are in the experiment?b. What are the total number of degrees of freedom?c. Complete the MINITAB printout. d. What is the least-squares prediction equation?e. Use the prediction equation to predict the numberof errors for a person who has not slept for10 hours. Regression Analysis: y versus xThe regression equation isy = 3.00 + 0.475 xPredictor Coef SE Coef T PConstant 3.000 2.127 1.41 0.196x *** 0.1253 3.79 0.005S = 2.24165 R-Sq = 64.2% R-Sq(adj) = 59.8%MINITAB output for Exercise 12.11 Analysis of VarianceSource DF SS MS F PRegression ** 72.200 72.200 14.37 0.005Residual Error ** *** 5.025Total ** ***