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Consider the Partial Printout Below

Question 58

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Consider the partial printout below.  Coefficients  Standard Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 63.1487393125.091151122.5167733040.045484943124.54461921.752859365 X1 14.725078648.1135817411.8148678490.1194666995.12815519734.57831248 X2 12.487845464.6860637432.6648902240.0372798791.02145216523.95423875 X1X2 1.8869351351.3449998341.4029259240.2102101415.1780335751.404163305 Is there evidence (at α=.05 ) that x1 and x2 interact? Explain. \begin{array}{l}\begin{array} { l c l l l l l } \hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & - 63.14873931 & 25.09115112 & - 2.516773304 & 0.045484943 & - 124.5446192 & - 1.752859365 \\\text { X1 } & 14.72507864 & 8.113581741 & 1.814867849 & 0.119466699 & - 5.128155197 & 34.57831248 \\\text { X2 } & 12.48784546 & 4.686063743 & 2.664890224 & 0.037279879 & 1.021452165 & 23.95423875 \\\text { X1X2 } & - 1.886935135 & 1.344999834 & - 1.402925924 & 0.210210141 & - 5.178033575 & 1.404163305 \\\hline\end{array}\\\text { Is there evidence (at } \alpha = .05 \text { ) that } x _ { 1 } \text { and } x _ { 2 } \text { interact? Explain. }\end{array}

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