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:

a. How many pairs of observations are in the experiment?
b. What are the total number of degrees of freedom?
c. Complete the MINITAB printout.
MINITAB output for Exercise 12.11
Regression Analysis: y versus x
The regression equation is
y = 3.00 + 0.475 x

d. What is the least-squares prediction equation?
e. Use the prediction equation to predict the number of errors for a person who has not slept for 10 hours.

Transcribed Image Text:

Number of Errors, y Number of Hours without Sleep, x Number of Errors, y 8,6 6,10 | 8,14 | 8 | 12 | 16 Mumber of Hours without Sleep. x 12024 Predictor Constant Coef 3.000 SE Coef 2.127 0.1253 1.41 3.79 0.196 0.005 S 2 . 24165 R-Sq 64 . 2% R-Sq (adj ) 59。8% = Analysis of Variance Source Regression Residual Error Total DF MS *72.200 72.200 14.370.005 5.025