French and Schultz ("Water Use Efficiency of Wheat in a Mediterranean-type Environment, I The Relation between Yield, Water Use, and Climate," Australian Journal of Agricultural Research, 35, 743-64) studied the impact of water use on the yield of wheat in Australia. The data below are from 1970 for several locations assumed to be randomly selected for this study. The response, \(y\), is the yield of wheat in \(\mathrm{kg} / \mathrm{ha}\). The regressors are:
- \(x_{1}\) the amount of rain in \(\mathrm{mm}\) for the period October to April.
- \(x_{2}\) is the number of days in the growing season.
- \(x_{3}\) is the amount of rain in mm during the growing season.
- \(x_{4}\) is the water use in \(\mathrm{mm}\) for the growing season.
- \(x_{5}\) is the pan evaporation in \(\mathrm{mm}\) during the growing season.
Perform a thorough analysis of these data.

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Location xX1 X2 X3 X4 x5 y J ABBCCDEFGHLIK 227 145 196 203 727 810 243 194 193 226 810 1500 254 183 195 268 790 1340 296 179 239 327 711 2750 296 181 239 304 705 3240 327 196 358 388 641 2860 441 189 363 465 663 4970 356 186 340 441 846 3780 419 195 340 387 713 2740 293 182 235 306 638 3190 274 182 201 220 638 2350 363 194 316 370 766 4440 253 189 255 340 778 2110