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A Multiple Regression Analysis Produced the Following Tables Using α\alpha

question 68

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A multiple regression analysis produced the following tables.  Predictor  Coefficients  Stardard Error t Statistic p-value  Irtercept 139.6092548.9890.054770.957154x124.2461922.252671.0895860.295682x232.1017117.445591.8401050.08869\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficients } & \text { Stardard Error } & \boldsymbol { t } \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & - 139.609 & 2548.989 & - 0.05477 & 0.957154 \\\hline \boldsymbol { x } _ { 1 } & 24.24619 & 22.25267 & 1.089586 & \mathbf { 0 . 2 9 5 6 8 2 } \\\hline \mathbf { x } _ { 2 } & 32.10171 & 17.44559 & 1.840105 & 0.08869 \\\hline\end{array}  Source df SS  MS Fp-value  Repression 2302689151344.51.7059420.219838 Residual 13115330988716.07 Total 151455998\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Repression } & 2 & 302689 & 151344.5 & 1.705942 & 0.219838 \\\hline \text { Residual } & 13 & 1153309 & 88716.07 & & \\\hline \text { Total } & 15 & 1455998 & & & \\\hline\end{array} Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 2 = 0, the critical t value is ____.


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