Consider the following data:

diameter ,age (in years) 1.8, 4 1.8, 5 2.2, 8 4.4, 8 6.6, 8 4.4, 10 7.7, 10 10.8, 12 7.7, 13 5.5, 14 9.9, 16 10.1, 18 12.1, 20 12.8, 22 10.3, 23 14.3, 25 13.2, 28 9.9, 29 13.2, 30 15.4, 30 17.6, 33 14.3, 34 15.4, 35 11, 38 15.4, 38 16.5, 40 16.5, 42

The 27 statistical units are trees of thesame species. For each unit, we have the diameter of the tree (in inches) and the age of the tree (in years). Suppose it is reasonable to use a simple linear model to express the age of the tree according to its diameter.

Use R markdown

a - Give the estimated line that expresses the age of the tree according to linear diameter

b - Test for the significance of the regression. Give the observed value of the statistic, the p-value of the statistics, and give your conclusion at = 5%?

c - Obtain the coefficient of determination and interpret it in the context of the question