14. Sleep Deprivation, again Subjects in a sleep deprivation experiment were asked to solve a set of simple addition problems after having been deprived of sleep for a specified number of hours. The number of errors was recorded along with the number of hours without sleep. The results, along with the MINITAB output for a simple linear regression, are shown below

a. Do the data present sufficient evidence to indicate that the number of errors is linearly related to the number of hours without sleep? Identify the two test statistics in the printout that can be used to answer this question.

b. Would you expect the relationship between y and x to be linear if x varied over a wider range (say, x54 to x548)?

c. How do you describe the strength of the relationship between y and x?

d. What is the best estimate of the common population variance 2 s ?

e. Find a 95% confidence interval for the slope of the line.

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Number of Errors, y Number of Hours without Sleep, x Number of Errors, y Number of Hours without Sleep, x 8,6 6,10 8,14 8 12 16 14,12 16, 12 20 24