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What is dependent and independent variable

In the slide you provided, it shows an example of linear and non-linear regression models, which involve two types of variables: dependent and independent.

- **Independent Variable (X)**: This is the variable that you manipulate or change to observe its effects. In the table, the **"Income (X)"** is the independent variable. It changes over the years, as seen in the "Change in X" column, and influences other variables.

- **Dependent Variable (Y and Y1)**: These are the variables that depend on or are influenced by the independent variable. In the table, there are two dependent variables:
  1. **Consumption Expenditure (Y)**, which is the linear dependent variable. This changes as "Income (X)" changes.
  2. **Consumption Expenditure 1 (Y1)**, which represents the non-linear dependent variable. This also changes based on "Income (X)," but with a different pattern (non-linear).

In summary:
- **Income (X)** is the independent variable.
- **Consumption Expenditure (Y)** and **Consumption Expenditure 1 (Y1)** are the dependent variables.

Would you like further details or have any questions?

Here are 5 relative questions:
1. What are the differences between linear and non-linear regression models?
2. How do you calculate the rate of change in independent and dependent variables?
3. Why is it important to distinguish between independent and dependent variables in regression analysis?
4. How does a non-linear relationship between variables affect predictions compared to a linear one?
5. What statistical methods can be used to assess the strength of the relationship between independent and dependent variables?

**Tip**: Always check if the relationship between variables is truly linear or non-linear by plotting them, which helps in choosing the right regression model.

What is dependent and independent variable?

Explore how dependent and independent variables interact in both linear and non-linear regression models. This page will explain the role of Income (X) as the independent variable, and Consumption Expenditure (Y) and Consumption Expenditure 1 (Y1) as dependent variables. Ideal for undergraduate and graduate students studying regression analysis.

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