Systematic error is an error due to incorrectly calibrated instruments. It cannot be reduced by repeated measurements. In the experiment, if you find that you do get a straight line, but not through the origin, that is systematic error.
Random error is an error which vary from one measurement to another. In the experiment, if you repeat measure the same quantity, but the results show a spread of values, some too large some too small, that is the random error. It is normally marked as the error bar in diagram.
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