Question

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.

Answer 1

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.