Botanists at the University of Toronto conducted a series of experiments to investigate the feeding habits of
Question:
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 scatter-plot. 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 a = .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 fiber x. Repeat parts a-d for these two variables.
f. Fit the simple linear regression model to the data using x = digestion efficiency.
g. Do you recommend using the model to predict weight change y? Explain.
h. Use the model to form a 95% confidence interval for the mean weight change of all baby snow geese with a digestion efficiency of x = 15%. Interpret the interval?
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