High School

A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table.

(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable.

(b) Draw a scatter diagram. Which of the following represents the data?

Answer :

Final answer:

The child's height is the explanatory variable and the child's head circumference is the response variable. Without the specific data, we can't draw the scatter diagram. However, the child's height would be on the x-axis and the head circumference on the y-axis in such a graph.

Explanation:

In the context of this question, the explanatory variable is the child's height, because it is the variable that is expected to influence or predict the other variable. The response variable is the child's head circumference, as it is the variable being predicted or explained. So, the pediatrician is exploring whether there is a relationship where changes in a child's height could potentially cause changes in a child's head circumference.

As for the scatter diagram, unfortunately, without the specific data from the table, it's not possible to draw it. Normally, you'd plot the child's height on the x-axis (as the explanatory variable) and the child's head circumference on the y-axis (as the response variable). Each point on the graph would represent a child from the sample of 8 children.

Learn more about Explanatory and Response Variables here:

https://brainly.com/question/32400499

#SPJ11

Height as the independent variable and head circumference as the dependent variable are depicted on a scatter plot to analyze their relationship.

a. In this case study, the height of the children should be the independent (explanatory) variable, and the head circumference should be the dependent (response) variable.

b. A scatter plot will visually represent the relationship between height and head circumference, allowing for a visual inspection of any potential patterns or trends.

c. From the scatter plot, if points on the graph exhibit a general pattern or direction, it suggests a relationship between height and head circumference.