Using simple moving averages and the following time series data, respond to each of the items.

Period	Demand
1	130
2	122
3	121
4	112
5	143
6	105
7	116
8	118
9	142
10	125

What is the error associated with the eleventh-period forecast? (Round your answer to 1 decimal place.)

To find the error associated with the eleventh-period forecast using simple moving averages, we must first calculate the forecast for the eleventh period and then compare it with the actual demand (if available).

### Steps:
1. **Select the number of periods for the moving average:** Typically, a 3-period or 4-period moving average is used, but any number can be chosen based on the problem's requirements. For this problem, I'll use a 3-period moving average.

2. **Calculate the forecast for the eleventh period:**
   \[
   \text{Forecast for Period 11} = \frac{\text{Demand for Period 10} + \text{Demand for Period 9} + \text{Demand for Period 8}}{3}
   \]

3. **Calculate the error:** 
   \[
   \text{Error} = \text{Actual Demand for Period 11} - \text{Forecast for Period 11}
   \]

Since the problem does not provide the actual demand for period 11, we will only calculate the forecast.

### Step 1: Calculate the Forecast for Period 11
\[
\text{Forecast for Period 11} = \frac{125 + 142 + 118}{3} = \frac{385}{3} \approx 128.3
\]

### Step 2: Error Calculation
Since we don't have the actual demand for period 11, the error cannot be calculated precisely. However, if you have the actual demand, you can subtract the forecast (128.3) from the actual demand to get the error.

Please provide the actual demand for period 11 to compute the error, or let me know if you need help with something else!

Learn how to calculate the error associated with the eleventh-period forecast using simple moving averages and time series data. This problem involves applying the simple moving average formula to forecast demand and calculate the forecast error. Suitable for advanced high school students studying time series analysis and forecasting techniques.

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