Which of the following will graphically show whether there is relationship between two variables?

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BlackTom AI · Accepted Answer

When considering graphical tools to reveal relationships between two variables, the first candidate is the scatter diagram. A scatter diagram plots pairs of values (x, y) for observations, allowing us to visually assess whether a relationship exists, its direction (positive or negative) and strength, and whether it appears linear or nonlinear.

Next, a spaghetti diagram is primarily used to map the physical path of people or materials through a process, often to identify bottlenecks or waste in a layout. It does not focus on the relationship between numerical variables, but rather on movement or flow paths within a system.

A fishbone diagram, also known as an Ishikawa diagram, is a cause-and-effect tool used to organize potential causes of a problem. It helps with root-cause analysis by categorizing factors, but it does not graphically show the relationship between two numerical variables.

A flowchart represents a sequence of steps or decisions in a process. It emphasizes the order of operations and decision points, not the relationship between two variables. While useful for understanding process logic, it does not directly illustrate how one variable relates to another.

In summary, among the listed options, the scatter diagram is the graphical method specifically designed to display and examine the relationship between two quantitative variables, whereas the other diagrams serve different analytical purposes (process flow, causation analysis, and movement or workflow mapping).

Which of the following will graphically show whether there is relationship between two variables?

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