(Solved): (b) The data in Table 1 show the average growth of 7 cherry trees since being planted. At the time ...

(b) The data in Table 1 show the average growth of 7 cherry trees since being planted. At the time of planting, the trees were one year old and were all $1.8\mathrm{m}$ in height. Table 1: Average height of trees as a function of time If the age of the trees is related to height via a logarithmic formula $h=C\ln (t)+\lambda$, find the values of the regression coefficients $C$ and $\lambda$, then use them to estimate the average height of the trees at (i) age 1.5 years and (ii) age 15 years. [13 marks] of Questions. Formulae sheets follow from page 6 onwards.