Large herds of wild horses can become a problem on some federal lands in the West. Researchers hoping to improve the management of these herds collected data to see if they could predict the number of foals that would be born based on the size of the current herd. Their attempt to model this herd growth is summarized in the output shown.

a) How many herds of wild horses were studied?
b) Are the conditions necessary for inference satisfied?
c) Create a 95% confidence interval for the slope of this relationship.
d) Explain in this context what that slope means.
e) Suppose that a new herd with 80 adult horses is located. Estimate, with a 90% prediction interval, the number of foals that may be born.

Transcribed Image Text:

# of Foals 30 20 10 Residuals (# of foals) 10+ 5 0 -5 50 7.5 100 150 # of Adults 200 15.0 22.5 30.0 Predicted (# of foals)