Question

For the following pair of variables, state the units that might be used to measure each variable. Then state whether you believe that the two variables are correlated. If you believe they are correlated, state whether the comrelation is positive or negative. Explain your reasoning. The heights and weights of 50 randomly selected females between the ages of 1 and 21 To measure height, the unit might be used. To measure weight, the unit might be used. What correlation, if any, is there between the variables?

A. There is a positive correlation because women's weight tend to increase when height decreases
B. There is a negative correlation because women's weight tend to increase when height decreases.
C. There is a positive correlation because women's weight tend to increase when height increases
D. There is a negative correlation because women's weight tend to increase when height increases.
E. The variables are not correlated.

Answer 1

positive correlation

Answer 2

The correct answer is:

There is a positive correlation because women's weight tend to increase when height increases (D)

Explanation:

The units that might be used to measure each variable are:

Height : meter (m) or foot (plural, feet) (Ft.)

weight : kilograms (kg) or Pounds (lb)

A positive correlation is said to occur between two variables when they both move in the same direction, that is, when they both increase or decrease, while a negative correlation occurs when the movement is not in tandem, i.e, as one increases, the other decreases. The relationship between height and weight is a positive correlation because, an increase in height, which is mainly as a result of elongation of bones, leads to an accumulated increase in total body mass, which in turn increases the body weight.