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The following table gives the apples eaten in a week and the times sick in the year of 10 friends:

Describe the correlation between the apples eaten per week and the times sick per year.

The following table gives the apples eaten in a week and the times sick in the year-example-1

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Answer:

The correlation coefficient is 0 which implies no association between the number of apples eaten per week and the times sick in a year.

Explanation:

The correlation coefficient between paired data gives information on the strength and the direction of the relationship between the paired data sets. The coefficient of correlation can imply strong or weak association as well as positive or negative association between data sets.

In the data given, the number of apples eaten per week can be used to explain the number of times an individual falls ill per year. This implies that the number of apples eaten per week is our explanatory or independent variable while times sick in a year is our response or dependent variable.

We can use Ms.Excel to compute the correlation coefficient between these two variables;

The first step is to enter the data in two adjacent columns in an excel workbook. We then type;

=CORREL

In an empty cell and enter the data arrays. This is an in-built function that computes the correlation coefficient.

Ms. Excel returns a correlation coefficient of 0. The correlation coefficient of 0 implies no association between the number of apples eaten per week and the times sick in a year.

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