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