High School

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

b. Draw a scatter diagram of the data. Draw the best-fit line on the scatter diagram.

c. Does this scatter diagram show a positive, negative, or no relationship between a child's height and head circumference?

Answer :

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

What is the equation to calculate the area of a circle?

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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