A therapist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes she makes on a simple test. The following data is recorded. Determine the equation of the regression line and graph the line on a scatter plot.
Hours without Sleep, Number of Mistakes,
32 6
38 8
48 13
24 5
46 7
35 6
30 5
34 8
42 12
1. Find the r.
2. Is r significant at alpha=.02?
3. Determine the line of best fit.
4. Use the line of best fit to predict the number of mistakes for someone who goes 40 hours with no sleep.
5. Use the line of best fit to predict the number of mistakes for someone who goes 8 hours with no sleep. Does the result make sense? Why or Why not, explain.