Mongolian desert ants. Refer to the Journal of Biogeography

(Dec. 2003) study of ants in Mongolia, presented in Exercise 2.167 (p. 125). Data on annual rainfall, maximum daily temperature, and number of ant species recorded at each of 11 LO9 study sites are listed in the table.

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

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 squares 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.

Transcribed Image Text:

Regression Analysis: Rain versus Temp The regression equation is Rain 295 - 16.4 Temp Predictor Coef SE Coef T P Constant 295.25 22.41 13.18 0.000 Temp -16.364 2.346 -6.97 0.000 S = 17.5111 R-Sq 84.4% R-Sq (adj) = 82.7% Analysis of Variance Source DF SS MS F P Regression 1 14915 14915 48.64 0.000 Residual Error 9 2760 307 Total 10 17675