# Q.1. Plot the following data asa a scatter diadram and comment over the result :X : 1110 15 13 10 16 13 8 17 14Y : 67 99 7 11 9 6 1211Q.2. From the following data compute the product moment corralation between x and y .x series y seriesArithmetic mean 25 18square of deviations from arithmetic mean136 138Q.3. Calculate karl pearsons cofficient of corralation on the following data :x : 1518 21 24 27 3036 39 42 48y : 25 25 27 27 3133 35 41 4145Q.4. Calculate correlation cofficient between x, the number of raniy days per month and y , the number of rain coats sold in that month in a certain shop for 12 month . interpret the results .X : 14 8 18 10 22 9 3 5 6 11 13 13Y : 15 11 20 12 15 7 3 4 7 10 11 29Q.5. The deviations from their means of two series (x and y) are given below :x : -4 -3 -2 -1 0 +1 +2 +3 +4y : +3 -3 -4 0 +4 +1 +2 -2 -1Q.6. Find suitable coefficient of correlation for the following data :Fertilizers used (in tons) : 15 18 20 24 30 35 40 50Productivity (in tons) : 85 93 95 105 120 130150 160

Solution 3

 15 25 225 625 375 18 25 324 625 450 21 27 441 729 567 24 27 576 729 648 27 31 729 961 837 30 33 900 1089 990 36 35 1296 1225 1260 39 41 1521 1681 1599 42 41 1764 1681 1722 48 45 2304 2025 2160

Solution 4

 14 15 196 225 210 8 11 64 121 88 18 20 324 400 360 10 12 100 144 120 22 15 484 225 330 9 7 81 49 63 3 3 9 9 9 5 4 25 16 20 6 7 36 49 42 11 10 121 100 110 13 11 169 121 143 13 29 169 841 377

Solution 6

 Fertilizers(in tons) Productivity(in tons) 15 85 225 7225 1275 18 93 324 8649 1674 20 95 400 9025 1900 24 105 576 11025 2520 30 120 900 14400 3600 35 130 1225 16900 4550 40 150 1600 22500 6000 50 160 2500 25600 8000

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