RANK CORRELATION ,SEMI AVERAGE

8. A person while calculating the co-efficient of correlation between two yarlaEles x, y from a set of 25 observations obtained the following results. 2x = 125, 2y = 100, Exy = 503, {:2 = 550, zyz = 450. But it was later found that the pair of values X 8 6 y 12 8 Were wrongly copied as )(68 y146 Obtain the correct value for the correlation coefficient. {Ans Corrected r = 0.5555} 9. Calculate the rank correlation coefficient for the following marks of 2 tests given to a candidate for a clerical job. First test 92 89 82 85 83 22 21 63 53 50 Second test 85 83 91 22 68 85 52 82 32 52 {Ans. R= 0.73333} 10. From the following table obtain the coefficient of rank correlation X 43 96 24 38 35 43 22 56 35 80 Y 30 94 84 13 30 18 3D 41 48 95 {Ans R= 0.630303} 11. Calculate Rank correlation coefficient between marks assigned to 10 students by Judges X and ii in a certain competitive test. Marksgiyen byludgex 52 53 42 50 45 41 32 38 25 22 Marksgiyen byludgey 65 as 43 38 n as 35 so 25 so {Ans R= 0.539393] 12. Quotations of index numbers of security prices of a certain joint stock company are given below: Year 2004 2005 2006 2002 2008 2009 2010 Debenture-{Rsl 92.8 99.2 98.8 98.3 98.4 96.2 92.1 Share {RS} 23.2 85.8 28.9 25.8 22.2 82.2 83.8 Using Spearman's rank correlation method. determine the relationship between debenture price and share prices. {Ans. R = 0.107143} 13. App y the method of semi averages for determining trend of the following data ans estimate the value for 2000: Years 1993 1994 1995 1995 199'.Ir 1993 Sales {thousand units] 20 24 22 30 28 32 If the actual figure ofsales for 2000 is 35000 units, how do you account for the difference between the figures you obtain and the actual figures given to you? {Ans: Value for 2000:38001 units; linear relation assumption}