This is about linear models.

Consider the model yz- = 30 + 51931 + 61;. The GaussMarkov conditions hold and also 6,- N N (0, a). Prove that if a constant c is subtracted from each yi then the F statistic for testing the hypothesis Ho : [31 = 0 is unchanged. If the model does not include the intercept .60, will the F statistic change? Explain