6.11 Assume that an r of .80 describes the relationship between daily food intake, measured in ounces, and body weight, measured in pounds, for a group of adults. Would a shift in the units of measurement from ounces to grams and from pounds to kilograms change the value of r ? Justify your answer.

The coefficient of correlation does not change.

Step-by-step explanation:

We are given the following in the question:

The daily intake food is measured in ounces.

The body weight is measured in pounds.

Correlation between food intake and body weight = 0.80

Properties of correlation:

Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. The correlation between two variables is not effected by the units of the variable.Even if the variable of the explanatory variable or the response variable changes, the correlation does not not change and remains same.

Conclusion:

A shift in units from ounces to grams and from pounds to kilogram does not change the value of coefficient of correlation.

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