Refer to the Journal of Biogeography (Dec. 2003) study of ants in Mongolia, presented in Exercise. 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.

a. Consider a straight-line model relating annual rain fall (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 .

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Annual Max. Daily Number of Site Region Rainfall (mm) Temp. (C) Ant Species 1 Dry Steppe 2 Dry Steppe 3 Dry Steppe 4 Dry Steppe 5 Dry Steppe 6 Gobi Desert 7 Gobi Desert 8 Gobi Desert 9 Gobi Desert 10 Gobi Desert 11 Gobi Desert 196 196 179 197 149 112 125 5.7 5.7 7.0 8.0 8.5 10.7 11.4 10.9 11.4 11.4 11.4 3 52 49 125 84 115 Regression Analysis: Rain versus Temp The regression equation is Rain 295-16.4 Temp Coef SE Coef Predictor 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 ) 82.74 Analysis of Variance Source Regression Residual Error 2760 307 Total DF HS 1 14915 14915 48.64 0.000 10 17675