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The diagram on the right shows part of the line of the best fit of against .
Given = 5 − 3 2 , find the value of and ℎ.
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The table below shows the value of two variables, and , obtaioned from an
experiment.
The variables and are related by the equation = , such that and are
constants.
1.5 3.0 4.5 6.0 7.5 9.0
2.51 3.24 4.37 5.75 7.76 10.00
(a) Plot the graph of log10 against , by using a scale of 2 to 1 unit on the -axis
and 2 to 0.1 unit on the log10 -axis. Hence, draw the line of best fit.
(b) From the graph, find the value of
(i) ,
(ii) ,
(iii) when = 4.
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The table below shows the value of two variables, and , obtaioned from an
experiment. The variables and are related by the equation 2 − = ,
such that and are constants.
1 2 3 4 5 6
5 3.5 3.1 2.7 2.6 2.5
(a) Plot the graph of against , by using a scale of 2 to 1 unit on the -axis
and 2 to 2 unit on the axis. Hence, draw the line of best fit.
(b) From the graph in (a), find the
value of
(i) ,
(ii) ,
(iii) when = 3.5.
(c) Calculate the value of when = 50.
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