For some reason the quality of production decreases as the y
For some reason the quality of production decreases as the year progresses at a light bulb manufacturing plant. The following data represent the percentage of defective light bulbs produced at a light bulb manufacturing plant in the corresponding month of the year:
Use the equation of the least squares line to predict in which month the percentage of defective light bulbs would be 1.83%.
| month (x) | 2 | 3 | 5 | 7 | 8 | 9 | 12 |
| defective (y) | 1.3 | 1.6 | 2.0 | 2.4 | 2.6 | 2.8 | 3.1 |
Solution
The equation is
y=1.0473+0.1841*x
approximately the percentage of defective light bublbs would be 1.83% in the 4.5 month or 5th month.
