Question

A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from 6 countries. The following data were read from a graph that appeared in the paper. Compute the correlation coefficient for this data set. (Give the answer to three decimal places.)
r =

Country	Sugar Consumption	Depression Rate
Korea	150	2.4
United States	290	2.9
France	360	4.5
Germany	375	5.1
Canada	390	5.3
New Zealand	490	5.7

Answer 1

Answer :

Given data is :

Sample size n = 6

Assume Sugar consumption =X

and Depression rate = Y

Country	Sugar consumption(X)	Depression rate(Y)
Korea	150	2.4	22500	5.76	360
United states	290	2.9	84100	8.41	841
France	360	4.5	129600	20.25	1620
Germany	375	5.1	140625	26.01	1912.5
Canada	390	5.3	152100	28.09	2067
New zealand	490	5.7	240100	32.49	2793

Formula for Correalation coefficient r is :

r =

=

=

=

=

=

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Correlation coefficient r = 0.933