Question 12
A small cafe records, over five days, the number of hours a barista works and the corresponding number of drinks sold:
| Hours Worked | Drinks Sold |
|---|---|
| 1 | 6 |
| 2 | 6 |
| 3 | 10 |
| 4 | 11 |
| 5 | ? |
A simple linear regression model fitted to the data is
The total Sum of Squares Error (SSE) for all five observations is 10. It is known that, on the fifth day, the actual number of drinks sold exceeded the value predicted by the regression line.
Determine, correct to the nearest integer, the number of drinks sold on the fifth day.