The age and systolic blood pressure (in millimeters of...

The age and systolic blood pressure (in millimeters of mercury, mm Hg) for eight different women are given In the table. a. Write the corresponding ordered pairs using the woman's age as the $x$ -variable and the systolic blood pressure as the $y$ -variable. Interpret the meaning of the first ordered pair. b. Plot the data points on a rectangular coordinate system.\begin{array}{c|c} \hline \begin{array}{c} \text { Age } \\ \text { (Years) } \end{array} & \begin{array}{c} \text { Systolic Blood } \\ \text { Pressure }(\mathrm{mm} \mathrm{H} \mathrm{g}) \end{array} \\ \hline 57 & 149 \\ \hline 41 & 120 \\ \hline 71 & 158 \\ \hline 36 & 115 \\ \hline 64 & 151 \\ \hline 25 & 110 \\ \hline 40 & 118 \\ \hline 77 & 165 \\ \hline \end{array}

The age and systolic blood pressure (in millimeters of mercury, mm Hg) for eight different women are given In the table.
a. Write the corresponding ordered pairs using the woman's age as the $x$ -variable and the systolic blood pressure as the $y$ -variable. Interpret the meaning of the first ordered pair.
b. Plot the data points on a rectangular coordinate system.\begin{array}{c|c}
\hline \begin{array}{c}
\text { Age } \\
\text { (Years) }
\end{array} & \begin{array}{c}
\text { Systolic Blood } \\
\text { Pressure }(\mathrm{mm} \mathrm{H} \mathrm{g})
\end{array} \\
\hline 57 & 149 \\
\hline 41 & 120 \\
\hline 71 & 158 \\
\hline 36 & 115 \\
\hline 64 & 151 \\
\hline 25 & 110 \\
\hline 40 & 118 \\
\hline 77 & 165 \\
\hline
\end{array}

Key Concepts

Ordered Pair

An ordered pair is a set of two values where the order matters, typically represented as (x, y). In the context of data, the first component represents the independent variable, and the second represents the dependent variable. This format not only organizes data systematically but also sets the stage for further analysis and interpretation in coordinate geometry.

Independent and Dependent Variables

Independent and dependent variables are core concepts in data analysis and scientific studies. The independent variable is the one that is controlled or used as the basis for comparison, while the dependent variable is the one that is measured. Interpreting an ordered pair involves understanding that the value of the dependent variable is influenced by the independent variable.

Scatter Plot

A scatter plot is a graphical representation of data using Cartesian coordinates to display values for typically two variables. Each data point on the scatter plot reflects an ordered pair, showing the relationship between the independent and dependent variables. This type of graph is especially useful for visualizing correlations, trends, and outliers in data.

Rectangular Coordinate System

A rectangular coordinate system, also known as the Cartesian coordinate system, is a two-dimensional system defined by a horizontal axis (x-axis) and a vertical axis (y-axis). This system allows for the precise plotting of ordered pairs and is fundamental to graphing relationships between variables in algebra and statistics.

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