A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/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, x Number of Mistakes, y
32 6
38 8
48 13
24 5
46 7
35 6
30 5
34 8
42 12