Question

A researcher found a study relating the mortality rates for women aged 65 to 74, y, to the proportion of calories from sweeteners in their diets, x. When researchers looked at the association of x and y, they found that the coefficient of determination was r squared equals 0.486. Select two conclusions that the researcher can make from this data.

Answer 1

Using correlation coefficients, it is found that the two conclusions that the researcher can make from this data are:

• The relation is positive, that is, the higher the proportion of calories from sweeteners in their diets, the higher the mortality.

• The relationship is not strong.

Correlation coefficient:

• Between two variables, assuming values between -1 and 1.

• If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

• If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, the correlation is of 0.486, hence, the conclusions are:

• The relation is positive, that is, the higher the proportion of calories from sweeteners in their diets, the higher the mortality.

• The relationship is not strong.

To learn more about correlation coefficients, you can take a look at https://brainly.com/question/20127237