Jun is investigating the growth patterns of a certain species of slug and measures their thickness, t, and length, l. The results are shown below.
Thickness, t (mm) |
9 |
8 |
4 |
3 |
6 |
10 |
Length, l (cm) |
5.9 |
4.1 |
2.1 |
1.8 |
3.0 |
7.8 |
Draw a scatter diagram of the data and explain why a line of best fit should not be used for this data.
Jun thinks that an exponential model of the form may fit the data, his sister Lily thinks that a quadratic model of the form is a better fit for the data.
Calculate the sum of the squared residuals, , for
Hence, choose whether Jun’s model or Lily’s model best fits the data, giving a reason for your answer.
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