Solved: Bird colonies. One of natures patterns connects the percent of adult birds in

Chapter 0, Problem 5.4

(choose chapter or problem)

Bird colonies. One of natures patterns connects the percent of adult birds in acolony that return from the previous year and the number of new adults that jointhe colony. Here are data for 13 colonies of sparrowhawks:2As you saw in Exercise 4.4 (page 93), there is a linear relationship between thepercent x of adult sparrowhawks that return to a colony from the previous yearand the number y of new adult birds that join the colony.(a) Find the correlation r for these data. The straight-line pattern is moderatelystrong.(b) Find the least-squares regression line for predicting y from x. Make ascatterplot and draw your line on the plot.(c) Explain in words what the slope of the regression line tells us.(d) An ecologist uses the line, based on 13 colonies, to predict how many birdswill join another colony, to which 60% of the adults from the previous yearreturn. What is the prediction?