A study was conducted to determine the effects of sleep deprivation on subjects' ability to solve simple problems. The amount of sleep deprivation varied over 8, 12, 16, 20, and 24 hours without sleep. A total of ten subjects participated in the study, two at each sleep-deprivation level. After his or her specified sleep-deprivation period, each subject was administered a set of simple addition problems, and the number of errors was recorded. The results shown in the following table were obtained. Number of errors(y) Number of hours without sleep(x) 8,6 6,10 8,14 14,12 16,12 12 16 20 24 (a) Find the least-squares line appropriate to the data. (b) Do the data present sufficient evidence to indicate that the number of errors is linear related to the number of hours without sleep? Use a = .05 level of significance. (c) Give a 95% confidence interval for the intercept Bo.

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