1. Researchers measured the diameters of 22 trees in a central Amazon rain forest. They also used Carbon-dating to determine the age of each tree. After checking all relevant assumptions, they calculated a Pearson correlation coefficient of r = 0.67 for the age of the trees compared to their diameter. a. Calculate the 95% confidence interval for the correlation coefficient for this population of trees. (1.5pt) b. Given your answer to part (a), is there a significant linear relationship between age and diameter for these trees? Why/why not? (1pt)