Suppose we estimate the regression y = β0 + β1x1 + β2x2 + u, using 282 observations. We then conduct several hypothesis tests with a significance level α = 0.05: F-test for goodness of fit, two Breusch-Pagan tests, and two White tests (using the predicted dependent variable in a cubic specification). Complete the table below (critical values, test statistics, p-values, and conclusions of each test).
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centering
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Test & Test Statistic & p-value \
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F-test for goodness of fit & 3.8694 & \
Breusch-Pagan (F) & 2.1 & \
Breusch-Pagan (LM) & & 0.135 \
White (F) & & \
White (LM) & & 0.0421 \
hline
end{tabular}
end{table}