The table below shows the result of an experimental study conducted by a group of civil engineering students on the coefficient of thermal expansion (a) of a steel structure. Temperature [°C] a [mm / mm °C] | 7.3 | 7.2 | 7.1 | 6.8 6.6 5.4 6.3 6.2 6.0 5.9 5.7 5 | 30 20 10 60 50 40 0 -10 -20 | -30 -40 | -5

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The table below shows the result of an experimental study
conducted by a group of civil engineering students on the
coefficient of thermal expansion (a) of a steel structure.
Temperature
°C]
a [mm / mm °C] | 7.3 | 7.2 | 7.1 | 6.8 | 6.6 5.4 | 6.3 6.2 6.0 5.9 5.7 5.5 5.3
60 50 40 30 20 10 0 -10 -20 30 -40 -50 -60
(a) Draw a scatter diagram of the coefficient of thermal
expansion (a) against temperature (T). Comment the plot
and suggest an equation that seems appropriate in relating
a to T? e
(b) Using linear regression to determine the relation between
thermal expansion and the temperature.
Transcribed Image Text:The table below shows the result of an experimental study conducted by a group of civil engineering students on the coefficient of thermal expansion (a) of a steel structure. Temperature °C] a [mm / mm °C] | 7.3 | 7.2 | 7.1 | 6.8 | 6.6 5.4 | 6.3 6.2 6.0 5.9 5.7 5.5 5.3 60 50 40 30 20 10 0 -10 -20 30 -40 -50 -60 (a) Draw a scatter diagram of the coefficient of thermal expansion (a) against temperature (T). Comment the plot and suggest an equation that seems appropriate in relating a to T? e (b) Using linear regression to determine the relation between thermal expansion and the temperature.
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