Questions: The variable of interest, is called the variable. y, explanatory y, response x, response x, explanatory

Solution Steps

To determine the correct pairing of the variable with its type, we need to understand the definitions: the "response" variable is typically the dependent variable (often denoted as \( y \)), and the "explanatory" variable is the independent variable (often denoted as \( x \)). Based on this, we can identify the correct pairings.

In the context of statistical analysis, we define two types of variables: the response variable, typically denoted as \( y \), which is dependent on other variables, and the explanatory variable, denoted as \( x \), which is independent and used to explain variations in the response variable.

From the possible pairings:

• \( (y, \text{explanatory}) \)
• \( (y, \text{response}) \)
• \( (x, \text{response}) \)
• \( (x, \text{explanatory}) \)

We determine that:

• \( y \) is correctly identified as the response variable.
• \( x \) is correctly identified as the explanatory variable.

Thus, the correct pairings are:

• \( y \) corresponds to the response variable.
• \( x \) corresponds to the explanatory variable.

Final Answer