Chapter 6.6, Problem 53CCR

To determine

To find:What was thePercent error of the prediction.

Answer to Problem 53CCR

Percent error of prediction is $23.08\%$

Explanation of Solution

Given information:

Predictedvalue $=16$ inches

Actual value $=13$ inches.

Concept:

Percent error $=\frac{A}{O}\times 100$

Where

  $A=$ Absolute value.

  $O=$ Actual value.

From given information

Predicted value $=16$ inches

Actual value $=13$ inches.

Absolute value = Predicted value $-$ Actual value.

  $\begin{array}{l}\Rightarrow A=16-13\\ \Rightarrow A=3\end{array}$

Therefore,

Percent error $=\frac{3}{13}\times 100$

  $\Rightarrow$ Percent error $=\frac{300}{13}$

  $\Rightarrow$ Percent error $=23.08$

So, Percent error of prediction is $23.08\%$ .