Mongolian desert ants. Refer to the Journal of Biogeography (Dec. 2003) study of ant sites in Mongolia, presented in Exercise.
Mongolian desert ants. Refer to the Journal of Biogeography (Dec. 2003) study of ants in Mongolia, presented in Exercise 2.155 (p. 91).Data on annual rainfall, maximum daily temperature, and number of ant species recorded at each of 11 study sites are listed in the table and saved in the GOBIANTS file
Site | Region
| Annual Rainfall (mm) | Max. Daily Temp. (°C)
| Number of Ant Species |
1 | Dry Steppe | 196 | 5.7 | 3 |
2 | Dry Steppe | 196 | 5.7 | 3 |
3 | Dry Steppe | 179 | 7.0 | 52 |
4 | Dry Steppe | 197 | 8.0 | 7 |
5 | Dry Steppe | 149 | 8.5 | 5 |
6 | Gobi Desert | 112 | 10.7 | 49 |
7 | Gobi Desert | 125 | 11.4 | 5 |
8 | Gobi Desert | 99 | 10.9 | 4 |
9 | Gobi Desert | 125 | 11.4 | 4 |
10 | Gobi Desert | 84 | 11.4 | 5 |
11 | Gobi Desert | 115 | 11.4 | 4 |
Based on Pfeiffer, M., et al. “Community organization and species richness of ants in Mongolia along an ecological gradient from steppe to Gobi desert.” Journal of Biogeography, Vol. 30, No. 12, Dec. 2003
a. Consider a straight-line model relating annual rainfall ( y ) and maximum daily temperature ( x ). A MINITAB printout of the simple linear regression is shown below. Give the least squares prediction equation.
b. Construct a scatterplot for the analysis you performed in part a. Include the least square line on the plot. Does the line appear to be a good predictor of annual rainfall?
c. Now consider a straight-line model relating number of ant species ( y ) to annual rainfall ( x ). On the basis of the MINITAB printout below. repeat parts a and b.
You applied the method of least squares to the data in the GOBIANTS file to estimate the straight-lie model relating annual rainfall ( y ) and maximum daily temperature ( x ). A SAS printout giving 95% prediction intervals for the amount of rainfall at each of the 11 sites is shown above. Select the interval associated with site (observation) 7 and interpret it practically.
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