A random sample of 15 pairs of values of X and Y from a normal population gives a correlation coefficient of + 0.6. Is the correlation in the population significant?
| A. | r is significant with -1 |
| B. | r is significant with +1 |
| C. | r is significant |
| D. | r is not significant |
Answer : C Explanation : N = 15, r = 0.6 Z = 1.1513 log 1 + r/1 - r = 1.1513 log 1 + 0.6/1 - 0.6 = 1.1513 log 4 = 1.1513 x 0.6021 = 0.6932 S.E.2 = 1/√(N - 3) = 1√(15 - 3) = 1√12 = 1/3.464 = 0.29 Z/(S.E.)2 = 0.6932/0.29 =2.39 > 1.96 Hence 'r' is significant at 5% level of significance. The answer is (c). |
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Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |
