In an experiment (courtesy of W. Burkholder) involving stored-product beetles {Trogoderma glabrum) and their sex-attractant pheromone, the pheromone is placed in a pit-trap in the centers of identical square arenas. Marked beetles are then released along the diagonals of each square at various distances from the pheromone source. After 48 hours, the pit-traps are inspected. Control pit-traps containing no pheromone captured no beetles.

(a) Plot the original data with y = number of beetles captured. Also plot y with
x = loge. (distance).
(b) Fit a straight line by least squares to the appropriate graph in part (a).
(c) Construct a 95% confidence interval for β1 ..
(d) Establish a 95% confidence interval for the mean at a release distance of 18 cm.

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Release Distance (centimeters) No of Beetles Captured out of 8 6.25 12.5 24 50 100 5,3,4,6 5, 2, 5,4 4, 5,3, 0 3, 4,2,2 1, 2, 2,3