On the Correlations of Areas of Matured Crop and the Rainfall, and certain allied 



Problems in Agriculture and Meteorology. 



(A preliminary enquiry). 



By S. M. Jacob, I.C.S. 



CONTENTS. 



Page 

 Introduction . . . . . . . . . . . . . . 347 



Part I. 



§ 1. The nature of the statistical data . . . . . . . . . . 351 



§ 2. The Method . . . . . . . . . . . . . . 353 



§ 3. Correlation for 30 villages in Raya, Pasrur, t Sialkot, Zafarwal (April to September, 



October to March) 355 



§ 4. Correlation for the whole of Tahsils : Daska, Pasrur, Sialkot, Zafarwal .. .. 364 



§ 5. Correlation with rainfalls April to August, and September to March . . . . 370 



§ 6. Prediction . . . . . . . . . . . . . . 372 



§ 7. The effect of errors of measurement on the correlation and regression coefficient . . 374 



§ 8. Probable errors = . . . . . . . . . . . . . 379 



Part II. 

 § 9. Frequency distributions as applied to rainfall . . . . . . . . 381 



Part III. 



§ 10. Seasonal correlation . . . . . . . . . . . . 385 



Appendix — Statistical Tables. .. .. .. .. .. .. 399 



INTRODUCTION. 



This paper is divided into three parts, as follows: — 



Part I deals with the interdependence of the crop and the rainfall which enables 

 it to come to maturity. This dependence is, of course, the most elementary fact in 

 Agriculture. Of the different ways in which this relationship might be expressed 

 quantitatively, that provided by Galton's correlation function appears to be the 



