Questions: Correlation and regression are concerned with the relationship between two quantitative variables.

Correlation and regression are concerned with the relationship between two quantitative variables.
Transcript text: Correlation and regression are concerned with the relationship between two quantitative variables.
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Solution

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Solution Steps

To determine the correct answer, we need to understand the definitions of correlation and regression. Both are statistical methods used to describe the relationship between two variables. Correlation measures the strength and direction of the linear relationship between two quantitative variables, while regression models the relationship between a dependent variable and one or more independent variables, which are typically quantitative.

Step 1: Understand the Definitions

Correlation and regression are statistical methods used to describe the relationship between two variables. Correlation measures the strength and direction of the linear relationship between two quantitative variables. Regression models the relationship between a dependent variable and one or more independent variables, which are typically quantitative.

Step 2: Analyze the Options

Given the options:

  1. The relationship between a quantitative explanatory variable and a categorical response variable.
  2. The relationship between a categorical explanatory variable and a quantitative response variable.
  3. The relationship between two quantitative variables.
  4. The relationship between two categorical variables.
Step 3: Determine the Correct Answer

Based on the definitions, both correlation and regression deal with quantitative variables. Therefore, the correct answer is the one that describes the relationship between two quantitative variables.

Final Answer

\(\boxed{\text{the relationship between two quantitative variables}}\)

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