# Coefficient can be used when the data are of

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coefficient can be used when the data are of qualitative nature like, honesty , efficiency intelligence etc. 17.7. TERMINAL EXERCISES 1) What is correlation? 2) Distinguish between positive and negative correlation. 3) Distinguish between linear and non-linear correlation. 4) Distinguish between simple partial and multiple correlation. 5) What is spearman correlation coefficient. Choose the correct answer 1) The coefficient of correlation a. has no limits b. can be less than one. c. can be more than one d. varies between 1. 2) The product moment correlation coefficient is obtained by the formula a. 2 2 x y xy   b. x y xy  

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159 c. 2 2 2 2 x y x y   d. 2 2 x y x y   3) If the 0 XY variables X and Y are a. linearly related b. independent c. not linearly related d. none of the data 4) Coefficient of determination is defined as a. a) 2 r b. b) 2 1 R c. c) 2 1 r d. d) 2 r 5) If the relationship between x any y is positive, as variable y decreases, variable x a. Increases b. Decreases c. Remains same d. Changes linearly 17.8. SUPPLEMENTARY MATERIALS 1) 2) 3) 4) 5) 17.9. ASSIGNMENTS 1) From the heights of a group of father and sons given in the table below, construct a scatter diagram. Is the correlation positive or negative ? Height of Fathers (inches) 65 63 67 64 68 62 Height of sons (inches) 68 66 68 65 69 66 2) The out-patient department of a hospital has collected the following data on the total number of patients attended to and the total nursing hours spent for 10 days. Nursing hours 483 432 475 474 471 460 460 475 465 479
160 Total patients 147 132 142 145 144 140 145 148 141 162 Calculate the correlation coefficient between nursing hours and the number of patients and draw your conclusions. 3) Twelve salesmen were ranked for their efficiency and length of service as tabulated. Find the rank correlation coefficient. Rank for efficiency 5 7 8 5 9 10 2 3 1 5 11 12 Length of service 7 7 6 9 4 11 1 5 2 3 10 11 4) Calculate coefficient of rank correlation by spearman’s method for the following data X 50 50 55 60 65 65 65 60 60 50 Y 11 13 14 16 16 15 15 14 13 13 5) Two departmental managers ranked a few trainees according to their perceived abilities. The ranking are given below Trainee A B C D E F G H I J Manager A 1 9 6 2 5 8 7 3 10 4 Manager B 3 10 8 1 7 5 6 2 9 4 Calculate an appropriate correlation coefficient to measure the consistency in the ranking. 17.10. REFERENCE BOOKS 1) Agarwal B.L., ‘Basic Statistics’ Wiley Eastern Ltd, New Delhi. 5 th ed, 2009. 2) R.P. Hooda, ‘Statistics for Business and Economics’, Macmillan India Limited , 2001 3) G.V. Shenoy and Madan pant, ‘Statistical Methods in Business and Social Sciences’, Macmillan, I ndia, Limited, 1994.

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