Question

In a diabetes study we compared fathers' blood sugar levels and their sons' blood sugar levels. We took a sample of 200 fathers and for each father we measured his blood sugar level and his son's blood sugar level. We obtain correlation coefficient R =.84. That means

A. Diabetes is genetically inherited

B. the lower the father's blood sugar level the lower the son's blood sugar level

C. father's blood sugar level is not significantly different from his son's blood sugar level

D. if a father has a low blood sugar level then his son will have a low blood sugar level

Answer 1

C. father's blood sugar level is not significantly different from his son's blood sugar level.

Explanation:

The study consists on comparing the blood sugar levels of sons and the blood sugar levels of their parents. A high correlation indicates that both sugar levels are not significantly different to each other. Then, the right answer is option C.

Answer 2

B. the lower the father's blood sugar level the lower the son's blood sugar level

Explanation:

Correlation coefficient is the measure of relationship or association between two variables. It ranges between -1.0 and 1.0, negative correlation coefficient(-1.0 to 0) means there is negative relationship between the two variables, an increase in one variable leads to a decrease in the other. Positive correlation coefficient (0 to 1.0) means that there is a positive relationship between the two variables, an increase in one variable leads to an increase in the other variable. And correlation coefficient of 0.0 shows that there is no relationship between the two variables. For the case above, the correlation coefficient of 0.84 shows that there is a strong positive correlation coefficient between father's blood sugar levels and son's blood sugar levels, so the lower the father's blood sugar level the lower the son's blood sugar level