Question

which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?

Explanation:

Step1: Analyze the relationship

The number of minutes running (independent variable) affects the number of calories burned (dependent variable). In a scatter - plot, the independent variable is on the \(x\) - axis and the dependent variable is on the \(y\) - axis.

Step2: Check each scatter - plot

• First scatter - plot (Minutes vs. Calories Burned):
• The \(x\) - axis is labeled "Minutes" (independent variable) and the \(y\) - axis is labeled "Calories burned" (dependent variable). This is correct as the number of minutes running (independent) is on \(x\) and calories burned (dependent) is on \(y\).
• Second scatter - plot (Calories Burned vs. Minutes):
• Here, the \(x\) - axis is "Calories Burned" (dependent variable) and \(y\) - axis is "Minutes" (independent variable). This is incorrect because the independent variable should be on the \(x\) - axis.
• Third scatter - plot (Calories Burned vs. Members):
• The problem is about the relationship between minutes and calories, not members and calories. The \(x\) - axis is "Calories Burned" (dependent variable) and \(y\) - axis is "Members" (not relevant to the relationship in the question).
• Fourth scatter - plot (Members vs. Calories Burned):
• The \(x\) - axis is "Members" (not relevant to the relationship in the question) and \(y\) - axis is "Calories burned".

Answer:

The first scatter - plot (Minutes vs. Calories Burned) is labeled correctly.