Question: A regression analysis is carried out, and a confidence interval for 1 is computed to be [1.25, 1.55]; a confidence interval for 2 is [2.01,

A regression analysis is carried out, and a confidence interval for β1 is computed to be [1.25, 1.55]; a confidence interval for β2 is [2.01, 2.12]. Both are 95% confidence intervals. Explain the possibility that the point (1.26, 2.02) may not lie inside a joint confidence region for (β1, β2) at a confidence level of 95%.

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