An important application of regression in manufacturing is the estimation of cost of production. Based on data (see attached) from Ajax widgets relating costs (y) to value (x) what is the cost of producing 60

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An important application of regression in manufacturing is the estimation of cost of production. Based on data (see attached) from Ajax widgets relating costs (y) to value (x) what is the cost of producing 600 widgets?

**Production Volume and Total Cost Analysis**

The table below presents the relationship between production volume and total cost. Each production volume, measured in units, is associated with a specific total cost in dollars. This data can be used to analyze how production levels influence cost, which is critical for understanding economies of scale and budgeting for production.

| Production Volume (units) | Total Cost ($) |
|---------------------------|----------------|
| 400                       | 4688           |
| 450                       | 4893           |
| 550                       | 5957           |
| 600                       | 6105           |
| 700                       | 7111           |
| 750                       | 7743           |
| 425                       | 4983           |
| 475                       | 5461           |
| 575                       | 6136           |
| 625                       | 6302           |
| 725                       | 7538           |
| 775                       | 7596           |

**Explanation:**
- **Production Volume (units):** This column represents the number of units produced.
- **Total Cost ($):** This column indicates the total cost associated with producing the given number of units.

This data can be further explored graphically to identify trends and make informed production decisions. A common analysis might involve plotting production volume on the x-axis and total cost on the y-axis to examine the cost behavior incrementally.
Transcribed Image Text:**Production Volume and Total Cost Analysis** The table below presents the relationship between production volume and total cost. Each production volume, measured in units, is associated with a specific total cost in dollars. This data can be used to analyze how production levels influence cost, which is critical for understanding economies of scale and budgeting for production. | Production Volume (units) | Total Cost ($) | |---------------------------|----------------| | 400 | 4688 | | 450 | 4893 | | 550 | 5957 | | 600 | 6105 | | 700 | 7111 | | 750 | 7743 | | 425 | 4983 | | 475 | 5461 | | 575 | 6136 | | 625 | 6302 | | 725 | 7538 | | 775 | 7596 | **Explanation:** - **Production Volume (units):** This column represents the number of units produced. - **Total Cost ($):** This column indicates the total cost associated with producing the given number of units. This data can be further explored graphically to identify trends and make informed production decisions. A common analysis might involve plotting production volume on the x-axis and total cost on the y-axis to examine the cost behavior incrementally.
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