In the linear model yi = β0 + β1xi + εi, yi is called the Blank______ variable.Multiple choice question.errorindependentdependent

Identifying the Variable in the Linear Model

In the linear model $y_i = \beta_0 + \beta_1 x_i + \varepsilon_i$:

1. Understanding the Model: The equation represents a simple linear regression model where $y_i$ is the dependent variable, $x_i$ is the independent variable, $\beta_0$ is the intercept, $\beta_1$ is the slope of the line, and $\varepsilon_i$ represents the error term.

2. Determining the Correct Answer:

   • The dependent variable is the one being predicted or explained (in this case, $y_i$).
   • The independent variable is the one used to predict or explain ($x_i$).
   • The error term represents the variability in $y$ that cannot be explained by the linear relationship with $x$.

Final Answer

Dependent variable.