Snow geese feeding trial. Botanists at the University of Toronto conducted a series of experiments to investigatethe feeding habits of baby snow geese ( Journal of Applied Ecology , Vol. 32, 1995). Goslings were deprived of food until their guts were empty and then were allowed to feed for 6 hours on a diet of plants or Purina® Duck Chow®. For each feeding trial, the change in the weight of the gosling after 2.5 hours was recorded as a percentage of the bird’s initial weight. Two other variables recorded were digestion efficiency (measured as a percentage) and amount of acid-detergent fiber in the digestive tract (also measured as a percentage). Data on 42 feeding trials are saved in the SNOWGEESE file. The first and last 5 observations are listed in the table below.
Feeding Trial | Diet | Weight Change (%) | Digestion Efficiency (%) | Acid-Detergent Fiber (%) |
1 | Plants | -6 | 0 | 28.5 |
2 | Plants | -5 | 2.5 | 27.5 |
3 | Plants | -4.5 | 5 | 27.5 |
4 | Plants | 0 | 0 | 32.5 |
5 | Plants | 2 | 0 | 32 |
. . . | . . . | . . . | . . . | . . . |
38 | Duck Chow | 9 | 59 | 8.5 |
39 | Duck Chow | 12 | 52.5 | 8 |
40 | Duck Chow | 8.5 | 75 | 6 |
41 | Duck Chow | 10.5 | 72.5 | 6.5 |
42 | Duck Chow | 14 | 69 | 7 |
Based on Gadallah, F. L., and Jefferies, R. L. “Forage quality in brood rearing areas of the lesser snow goose and the growth of captive goslings.” Journal of Applied Biology , Vol. 32, No. 2, 1995, pp. 281–282.
a. The botanists were interested in the correlation between weight change ( y ) and digestion efficiency ( x ). Plot the data for these two variables in a scatterplot. Do you observe a trend?
b. Find the coefficient of correlation relating weight change y to digestion efficiency x. Interpret this value.
c. Conduct a test to determine whether weight change y is correlated with digestion efficiency x. Use α = .01.
d. Repeat parts b and c , but exclude the data for trials that used duck chow. What do you conclude?
e. The botanists were also interested in the correlation between digestion efficiency y and acid-detergent fibe x. Repeat parts a – d for these two variables.
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