85.1k views
4 votes
What is the typical nature of the correlation coefficient that is likely to be found between the height and weight of adults?

a) Strong positive correlation
b) Strong negative correlation
c) Weak positive correlation
d) No correlation

1 Answer

5 votes

Final answer:

The typical correlation between height and weight in adults is a strong positive correlation, whereby increased height is associated with increased weight, and this is quantified by a correlation coefficient close to +1.

Step-by-step explanation:

The typical nature of the correlation coefficient that is likely to be found between the height and weight of adults is a strong positive correlation. This means that, generally, as an adult's height increases, their weight also tends to increase. This type of relationship is represented by a correlation coefficient that is closer to +1, indicating a strong positive relationship between the two variables. For example, a tall individual is likely to weigh more compared to a shorter individual. The positive correlation between height and weight is seen because both variables move in the same direction; as one increases, so does the other.

It is important to remember that the correlation coefficient, denoted by r, can range from -1 to +1. A positive correlation is indicated when r is greater than zero but less than or equal to 1, and the closer r is to 1, the stronger the positive correlation. Conversely, a negative correlation is indicated when r is less than zero but greater than or equal to -1, and a correlation coefficient of 0 indicates no correlation at all.

The strong positive correlation between height and weight is seen in scatter plots where data points trend upward, forming a pattern that closely resembles a straight line ascending from left to right.

User Arnold Zahrneinder
by
8.8k points