Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The volume of oxygen consumed (in liters per minute) while a person is at rest a

ID: 3222950 • Letter: T

Question

The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) were both measured for 50 subjects. The goal is to determine the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below. If the outlier is removed, the correlation coefficient t will: increase decrease Neither increase nor decrease. There is not enough information to tell. A researcher states that bone density in women is negatively associated with age. This means that: as women get older, bone density tends to decrease. as women get older bone density tends to increase. below-average values of age tend to accompany below average values of bone density. older women aren't any more likely than younger women to have below average bone density.

Explanation / Answer

8) An outlier is a score that falls outside the range of the rest of the scores on the scatterplot. Depending upon where the outlier falls, the correlation coefficient may increase or decrease.

Outliers can have a very large effect on the correlation coefficient, which can lead to very different conclusion regarding your data.

An outlier which falls near where the regression line will normally fallwould necessarily increase the size of the correlation coefficient.

An outlier that falls some distance away from the original regression line would decrease the size of the correlation coefficient.

From the given scatter plot, it is seen that the outlier is far from the regression line. So. the correlation coefficient decreases. If the outlier is removed then the correlation coefficient will increase.

9) Negative association is a relationship between two variables in which one variable increases as the other decreases and vice versa. A perfect negative association means the relationship that exists between two variables is negative 100% of the time.

As the bone density in woman is negatively associated with age , this means that as woman gets older, bone density tends to decrease.

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Chat Now And Get Quote