What is the value of the correlation of the following set of data? (no need to c

Question

What is the value of the correlation of the following set of data? (no need to compute r) X Y 50 60 40 70 30 80 20 90 +1.00 +.50 -1.00 0.00 On which of the following situations would one use Spearman's Rank - Order correlation? To find the relationship between the number of fish caught and the amount of time people spend fishing To find the relationship between the finishing positions of 5 teams in a league this year and the same teams' finishing positions next year To find the relationship age (in years) and income (in dollars) To find the relationship between the cost of books in dollars and number of units taken In a Spearman's rank order correlation, "the sum of D square" equals 25 (that's the number in the parenthesis of the numerator of the equation). What is the value of the correlation co-efficient if there are 10 pairs of scores? .85 -.60 1.00 3.60 Mr. Smart E, Pants is afraid that if he buys an ice cream cone he will go to jail, so he avoids ice cream. Mr. Pants knows that eating ice cream makes people irrational and likely to commit crimes, so he stays away from the dangers of ice cream to prevent himself from committing a crime Mr. Pants has reasonably concluded that many crimes take place where ice cream is sold, such as at the local 7 - 11, so he avoids buying ice cream so he won't be victimized by a criminal robbing the store Mr. Pants has failed to realize that two variables can be related to each other even if one does not cause the other Mr. Pants is very logical - he makes perfect sense!

Explanation / Answer

Solutions

16. In this question we see that the values of the observations of the 1st column (i.e. 50,40,30,20) decrease at the same rate at which the values of the observations of the second column increases. So we can conclude that there is absolute negetive correlation among the observations of different columns. Hence the correct option is c.

17. We use spearman's rank-order correlation for ordinal data. Here in this question the only ordinal data is in option b. So the correct option is b.

18. Spearman's rank correlation coefficient is given by

r = 1 - (6*D2) / n(n2 - 1)

here D2 = 25 and n=10

then r = 0.8484848 =0.85 (approx)

Thus the correct option is a.

19. The two events buying of an ice cream and going to jail are completely uncorrelated events. So option b is more appropriate for this answer.

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