Interpreting and drawing real-life graphs | Exit Quiz | Oak National Academy

On a time series graph, data points are joined chronologically by __________.

• coordinates

• curves

• line segments

Answer explanation

On a time series graph, data points are joined chronologically by line segments.

Why can it be inaccurate to interpolate from a time series graph?

• We do not know if the trend continues in the future.

• We do not know if the data points are plotted accurately.

• We do not know how the data changes between the data points.

• We do not know if the scale is consistent between the coordinates.

Answer explanation

On a time series graph, data is plotted at discrete points. There is no way of knowing how the data changes between those points, which can make interpolation inaccurate especially if the data fluctuates a lot.

Which graph would match Andeep's scenario?

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Answer explanation

There will be a line segment as the water is run at a constant rate and then an increasing curve as the speed the water is flowing at constantly increases.

This container is filled at a constant rate. Which graph could model this scenario?

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Answer explanation

The container widens, then has constant width then narrows again, the rate at which the depth increases will continuously decrease then remain constant then continually increase again.

This container is filled at a constant rate. Which graphs could model this scenario?

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Answer explanation

As the container is filled at a constant rate the volume-time graph will be a single line segment. The depth-time graph will have a steeper line segment when the container was narrower then a less steep line segment.

Aisha is filling this container with water. What must be the case for this depth-time graph to be accurate?

• Water was run at a constant rate throughout.

• Water was run at a continuously increasing rate .

• Water was run at a constant rate then the rate was decreased continuously.

• Water was run at a constant rate then the rate was increased continuously.

Answer explanation

To compensate for the continuously slowing rate of depth as the container widens the rate of water must be continuously increasing.