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
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F166184b5-9625-41b5-941b-e1f37119f0b6%2F93ce1fc2-ddb5-44db-9c7c-cbfa4b6e83ce%2F44wssg_processed.jpeg&w=3840&q=75)
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