An experiment generates four data points below
|(Sample number)| |(x)| |(y)|
| 1 | | 0 | | 0 |
| 2 | | 0 | | 1 |
| 3 | | 1 | | 1 |
| 4 | | 1 | | 2 |
Fit a line = 0 + 1 to minimize the least square error. (1) Formulate the problem as least square problem min ‖ − ‖^2
. What is and ? (2) Calculate the estimation of 0 and 1



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