A researcher collects the following data and determines that there is a significant relationship between the age of a copy machine and its monthly maintenance cost. The regression equation is \(y^{\prime}=55.57+8.13 x\). Find the standard error of the estimate.

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Machine Age x (years) Monthly cost, y A S 62 B 2 78 C 3 70 D 4 90 E F 46 93 103