# Question: Botanists at the University of Toronto conducted a series of

Botanists at the University of Toronto conducted a series of experiments to investigate the 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.

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.

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.

**View Solution:**## Answer to relevant Questions

Refer to the Journal of Experimental Psychology-Applied (June 2000) name-retrieval study. The data for the study are saved in the NAMEGAME2 file. Find and interpret the values of r and r2 for the simple linear regression ...a. Using no information about x, estimate and calculate a 95% confidence interval for the mean value of y. b. Plot the estimated mean value and the confidence interval as horizontal lines on your scatterplot. c. Compare the ...Explain the difference between a probabilistic model and a deterministic model. Chemists at Kyushu University (Japan) examined the linear relationship between the maximum absorption rate y (in nanomoles) and the Hammett substituent constant x for metacyclophane compounds (Journal of Organic Chemistry, ...Suppose you fit the first-order multiple-regression model y = β0 + β1x1 + β2x2 + ε to n = 25 data points and obtain the prediction equation y = 6.4 + 3.1x1 + .92x2 The estimated standard deviations of the sampling ...Post your question