Question

4) / 24 points ) Long-term records from the Serengeti National Park in Tanzania show interesting ecological relationships. When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more trees grow. Lions feed more successfully when there are more trees, so the lion population increases. Researchers collected data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass area burned in the same year. The results of a least-squares regression on the data are shown here." 92.29 -0.05762x, where y is the percent of the grass burned and x is the number of wildebeest

Answer 1

ŷ = 92.29 - .05762 X I is percent of gras burned X is the number of wild beest. . In scatter PIC blot between percent shows the negative been percent grayburned and grassburg relationship between old beert both. Second that is graph show beween residual and wildsheet that presidual are randomly dutributed and there no fix patteren in the graph. B 9 = 92.29 - .05762X sto slope is = 05762. negative sign. It means that per unit change in wildbeest the grass burned amount is dan decreases as - 05762 cnit, © Û - 92:29 -.05762 x. Interopt term is 92.29. gt means that if x=0 wild beest is zero even there percentage of burneed grass. Y = 92.29 is 92.29 number of amount of ① O There is grass burned the number strongly negative and cauldbeert of wildbeest correlation between of grass burned increas decreases.

but a= 1600 ŷ = 92:29 - 05762x1600 ý = 0.098 Yes because rumberot wild beeats large as 1600 as only 0.098 percent. graus area burned.