When plotting a line graph you should:
Use a sharp pencil and a 12"
ruler.
Draw the whole graph in pencil first
and then when you are happy with it label the axes in ink, add a title
in ink and if you wish go over your points in ink or in a fine-tipped
felt or gel-ink pen.
Do NOT go over the graph line
in ink.
You must:
Choose an appropriate
scale
(i) so that
the graph fills most of the page. It doesn't matter which way round
you position the graph paper
(ii) so that the divisions on the axes make it
easy to plot the points accurately. Choose factors of 2 or 5 NOT
3 or 7!
Give the graph
a title that explains what the experiment
was about, not simply 'A graph of temperature against time'.... that
can be gleaned from the labels on the axes.... something like 'Melting
ice' explains what you were doing as you recorded temperature and time
readings.
Label
the axeswith the physical quantityand the unitit was measured in. For example
'mass (kg)'
Plot
the points accurately and clearly. The best way to mark a point
is to use a neat cross. If the line is then drawn so that it obliterates
the point you can still see where it is.
Draw an appropriate
best fit linegraph (NOT DOT-TO-DOT graphs)
to fit the data, This may be a straight line graph or a curve. Your
points are NOT perfect, they
are subject to experimental error... your line can only give an indication
of the trend that they follow. Your line should be smooth...
no 'bumps' or 'wiggles'! A straight line should be drawn with a ruler,
not freehand!
Interpreting your graph
If your graph
gives you a straight line it shows that
the two physical quantities you plotted are proportional.
If the straight line goes through the originthe graph indicates that they are directly proportional....
i.e. if you double one quantity the other will double too.
Any points that
are well away from the line are called anomalies.
They are probably due to experimental error. You should try to think
of how these anomalies could have occurred or what you could do next
time to avoid them happening.
The line you
have drawn can be used to make predictions.
You can draw a line parallel to one of the axes and then direct it towards
the other axis after it has reached your graph line of best fit. This
can be done from any value on either axis and allow you to predict what
a pair of values in the experiement would probably be. In an exam always
pencil in these lines (draw
them as dashed lines) to show the examiner how you reached your answer.
Finding
the gradient of a straight line graph
The equation
of a straight line graph is:
c
is the intercept and
the
gradient 'm' can be worked out from the change in Y (DY)
values divided by the change in X (DX)
values
Here are the
steps to follow when finding the gradient of your graph:
- Draw
a LARGE (smallest
side greater than 8cm) triangle ,
marking the verteces A,B and C and using dashed lines, as shown
above.
- Find what
value the sides AC and BC represent
by reading off the axes (don't forget their units!).
- Write out
the equation for the gradient EXACTLY
as shown on the diagram above - do NOT miss out steps!
- Calculate
the gradient value
- Write
the value
down in the same number of significant figures as it was possible
to read from the axes.
- Add
the unit
For additional information on graph plotting
at AS level
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