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2.51 Decay in the log scale. Refer to the previous exercise and to Exercise 2.33 (page 99), where the counts were transformed by a log.

1. (a) Find the correlation between the log counts and the time after the start of the first counting period.

2. (b) Does the correlation give a good numerical summary of the relationship between these two variables? Explain your answer.

3. (c) Compare your results for this exercise with those from the previous exercise.