2. Consider the simple regression model, assume to satisfy ideal conditions:

$$y_t = \beta x_t + \varepsilon_t \tag{2}$$

We now want to consider another estimator $$\tilde{\beta}$$, defined as follow. You pick two observations at random; say, $$t = 3$$ and $$t = 6$$.

$$\tilde{\beta} = (y_6 - y_3)/(x_6 - x_3) \tag{3}$$

(a). Consider the estimator \(\tilde{\beta}\). Whether is \(\tilde{\beta}\) unbiased?

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