申論題

5. (40 points in total) A study was conducted to determine the effects of sleep deprivation on people's ability to solve problems without sleep. A total of 10 subjects participated in the study, two at each of five sleep deprivation levels - 8, 12, 16, 20, and 24 hours. 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. These results were obtained:

(b). (10 points) Please construct a simple linear regression to test whether the data present sufficient evidence to indicate that the number of errors is related to the number of hours without sleep. What is the least-squares prediction equation? y = a + βx + ε