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# Graphing Notes

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• ### Graphing Notes

1. 1. While reviewing this presentation answer the following questions. <ul><li>Explain to me what the purpose is behind graphing. </li></ul><ul><li>What are Dependent and Independent Variables ? </li></ul><ul><li>What does it mean to interpolate and extrapolate? </li></ul><ul><li>What does a straight line in a line graph mean? </li></ul>
2. 2. Why do we graph data? <ul><li>To show the relationship between the graphed variables. (Without calculations) </li></ul><ul><li>To gain interpolated and extrapolated data. </li></ul>“ inter” – in between data points. “ extra” – outside of data points.
3. 3. Graphing is NOT: <ul><li>Easier – Quitting after data collection is easier than graphing the data! </li></ul><ul><li>More visual – A data table is also a visual! </li></ul><ul><li>More organized – A data table is organized, by its very design! </li></ul>
4. 4. Rules for Graphing <ul><li>Label x and y axes. Include units. </li></ul><ul><li>Title your graph. (y vs. x will always work if you can’t be more descriptive!) </li></ul><ul><li>Number axes consistently and consecutively. Use > 75% of each axis. </li></ul><ul><li>Plot data with a fine, accurate point. Circle data points so they are easily located. </li></ul><ul><li>Connect data points with a smooth curve or with a line of best fit. </li></ul>
5. 5. Dependent and Independent Variables <ul><li>The Dependent variable is always assigned to the y-axis . </li></ul><ul><ul><li>relies on the changes in the independent variable. </li></ul></ul><ul><ul><li>The dependent variable is what we measure . </li></ul></ul><ul><li>The Independent variable is always assigned to the x-axis </li></ul><ul><ul><li>does not relying on an other variable. </li></ul></ul><ul><ul><li>The values of the independent variable can be chosen freely. </li></ul></ul>
6. 7. Sample data for graphing <ul><li>Height vs. # of boxes </li></ul><ul><li># of boxes height (m) </li></ul><ul><li>1 0.5 </li></ul><ul><li>2 1.0 </li></ul><ul><li>3 1.5 </li></ul><ul><li>4 2.0 </li></ul><ul><li>5 2.5 </li></ul><ul><li>6 3.0 </li></ul><ul><li>Height vs. # of lamps </li></ul><ul><li># of lamps height (m) </li></ul><ul><li>1 0.4 </li></ul><ul><li>2 1.0 </li></ul><ul><li>3 1.3 </li></ul><ul><li>4 2.1 </li></ul><ul><li>5 4.1 </li></ul><ul><li>6 4.5 </li></ul>
7. 8. If graphed data forms a straight line… <ul><li>Shows a constant relationship between the variables. </li></ul><ul><li>Interpolated and extrapolated data is reliable. </li></ul><ul><li>What was graphed was consistent or uniform. </li></ul>
8. 9. If graphed data does not form a straight line… <ul><li>Shows a non-constant (changing) relationship between the variables. </li></ul><ul><li>Interpolated and extrapolated data is unreliable. </li></ul><ul><li>What was graphed was not uniform. </li></ul>
9. 10. Interpreting the Graphs <ul><li>Which graph would give more reliable interpolated and extrapolated data? </li></ul><ul><li>If I had 7.5 m of stacked boxes, how many boxes would I have? </li></ul><ul><li>Approximately how tall would a stack of 7 lamps be? </li></ul><ul><li>How many boxes could I stack in a room with a 4 m ceiling? </li></ul>