Sketch a scatter plot and a line graph of the given data....

Sketch a scatter plot and a line graph of the given data. The table shows sales of personal digital video recorders.* Let $x=0$ correspond to $2000,$ and measure $y$ in thousands. $$\begin{array}{|c|c|}\hline \text { Year } & \text { Number Sold } \\\hline 2000 & 257,000 \\\hline 2001 & 129,000 \\ \hline 2002 & 143,000 \\\hline 2003 & 214,000 \\\hline 2004 & 315,000 \\\hline 2005 & 485,000 \\\hline \end{array}$$

Sketch a scatter plot and a line graph of the given data.
The table shows sales of personal digital video recorders.* Let $x=0$ correspond to $2000,$ and measure $y$ in thousands.
$$\begin{array}{|c|c|}\hline \text { Year } & \text { Number Sold } \\\hline 2000 & 257,000 \\\hline 2001 & 129,000 \\
\hline 2002 & 143,000 \\\hline 2003 & 214,000 \\\hline 2004 & 315,000 \\\hline 2005 & 485,000 \\\hline
\end{array}$$

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Key Concepts

Data Transformation and Labeling

Data transformation involves converting raw data into a form suitable for graphing, which may include setting a specific point (like x=0) to correspond to a certain value and ensuring that units or scales (such as thousands for sales figures) are clearly indicated. Proper labeling aids in precise interpretation and comparison of the data.

Coordinate System and Axis Scaling

A coordinate system uses horizontal (x-axis) and vertical (y-axis) lines to plot data points, and proper scaling is essential to accurately represent and interpret the data. Labels and scale markers on each axis help viewers understand the values being depicted.

Scatter Plot

A scatter plot is a graphical representation where individual data points are plotted on a coordinate system. It is used to visualize the relationship between two numerical variables, making patterns, correlations, or variations readily apparent.

Line Graph

A line graph displays data points connected by straight line segments, emphasizing trends and changes over an ordered sequence, such as time. It is particularly useful for showing progression or continuity in the data.

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