Question

which statement is correct when a scatterplot is constructed?
the independent variable
is the input variable and
should be represented by
the x - axis.
the independent variable
is the input variable and
should be represented by
the y - axis.
the dependent variable
is the input variable and
should be represented by
the x - axis.
the dependent variable
is the input variable and
should be represented by
the y - axis.

Explanation:

Step1: Recall the concept of scatter - plot variables

In a scatter - plot, the independent variable (input variable) is plotted on the \(x\) - axis and the dependent variable (output variable) is plotted on the \(y\) - axis.

Step2: Analyze each option

• Option1: "The independent variable is the input variable and should be represented by the \(x\) - axis" is correct.
• Option2: The independent variable (input) should be on the \(x\) - axis, not \(y\) - axis.
• Option3: The dependent variable (output) should be on the \(y\) - axis, not \(x\) - axis.
• Option4: The dependent variable (output) should be on the \(y\) - axis.

Answer:

The independent variable is the input variable and should be represented by the \(x\) - axis.