Here are data on the monthly price of apples for a certain year. a) Find a 2-point moving average of the year. b) Use it to predict the value for January of the next year. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Deco Price 0.947 0.987 0.929 0.969 1.031 1.032 1.131 1.265 1.251 1.153 1.118 1.028 a) Calculate the 2-point moving average. Month Feb Price Jan ■ Mar Month Jul Aug Price ■ ■ (Round to four decimal places as needed.) ■ Sep 1 Apr 1 Oct L May Nov Jun Dec 0.9Y January July Time ++> December

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---

### Monthly Price of Apples - Analysis

**Objective:**
- **a)** Calculate a 2-point moving average of the year.
- **b)** Use it to predict the value for January of the next year.

#### Data Table
| Month | Jan  | Feb  | Mar  | Apr  | May  | Jun  | Jul  | Aug  | Sep  | Oct  | Nov  | Dec  |
|-------|------|------|------|------|------|------|------|------|------|------|------|------|
| Price | 0.947| 0.987| 0.929| 0.969| 1.031| 1.032| 1.131| 1.265| 1.251| 1.153| 1.118| 1.028|

#### Task a) Calculate the 2-point Moving Average

**Template for Calculation:**
| Month | Jan | Feb | Mar | Apr | May | Jun |
|-------|-----|-----|-----|-----|-----|-----|
| Price |  .  |     |     |     |     |     |

| Month | Jul | Aug | Sep | Oct | Nov | Dec |
|-------|-----|-----|-----|-----|-----|-----|
| Price |     |     |     |     |     |     |

*Round to four decimal places as needed.*

---

#### Graph Explanation

The graph, located in the upper-right corner, displays a line plot representing the price of apples over a year. 

- **X-axis (Time):** Month names from January to December.
- **Y-axis (Apples):** Price of apples ranging approximately from 0.9 to 1.3.
- **Description:** 
  - There is a fluctuation in prices with a noticeable increase during mid-year, reaching its peak around July or August.
  - A subsequent decline is observed towards December.

**Purpose:** The graph visually complements the data table, allowing for a quick understanding of trends in apple pricing throughout the year.

By using the 2-point moving average, one can smooth out these monthly fluctuations to better identify trends and predict future prices.

--- 

This breakdown aids learners in understanding how to perform moving averages and the significance of graphical data representation.
Transcribed Image Text:Here is the transcription and explanation of the content from the provided image, suitable for an educational website: --- ### Monthly Price of Apples - Analysis **Objective:** - **a)** Calculate a 2-point moving average of the year. - **b)** Use it to predict the value for January of the next year. #### Data Table | Month | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec | |-------|------|------|------|------|------|------|------|------|------|------|------|------| | Price | 0.947| 0.987| 0.929| 0.969| 1.031| 1.032| 1.131| 1.265| 1.251| 1.153| 1.118| 1.028| #### Task a) Calculate the 2-point Moving Average **Template for Calculation:** | Month | Jan | Feb | Mar | Apr | May | Jun | |-------|-----|-----|-----|-----|-----|-----| | Price | . | | | | | | | Month | Jul | Aug | Sep | Oct | Nov | Dec | |-------|-----|-----|-----|-----|-----|-----| | Price | | | | | | | *Round to four decimal places as needed.* --- #### Graph Explanation The graph, located in the upper-right corner, displays a line plot representing the price of apples over a year. - **X-axis (Time):** Month names from January to December. - **Y-axis (Apples):** Price of apples ranging approximately from 0.9 to 1.3. - **Description:** - There is a fluctuation in prices with a noticeable increase during mid-year, reaching its peak around July or August. - A subsequent decline is observed towards December. **Purpose:** The graph visually complements the data table, allowing for a quick understanding of trends in apple pricing throughout the year. By using the 2-point moving average, one can smooth out these monthly fluctuations to better identify trends and predict future prices. --- This breakdown aids learners in understanding how to perform moving averages and the significance of graphical data representation.
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