Question

Body Temperatures Listed below are the temperatures from nine males measured at 8 AM and again at 12 AM (from Data Set 3 “Body Temperatures” in Appendix B). Construct a scatterplot. Based on the graph, does there appear to be a relationship between 8 AM temperatures and 12 AM temperatures?

8 AM	12AM
98	98
97	97.6
98.6	98.8
97.4	98
97.4	98.8
98.2	98.8
98.2	97.6
96.6	98.6
97.4	98.6

Short answer

The following scatterplot is constructed.

As the points on the plot do not follow any pattern, it can be inferred that there is no relationship between the temperatures recorded at 8 AM and 12 AM.

Step-by-step solution

Given information

Data are given on body temperatures recorded at 8 AM and 12 AM measured in degrees Fahrenheit.

8 AM	12 AM
98	98
97	97.6
98.6	98.8
97.4	98
97.4	98.8
98.2	98.8
98.2	97.6
96.6	98.6
97.4	98.6

Describe a scatterplot

A scatterplot is a sketched corresponding to a pair of observations recorded for two different variables. The values of the two given variables are plotted on one of the axes.

The pattern of the plotted points helps to decide whether the two variables have a certain relationship or not. If the points are scattered randomly and do not follow any pattern, the two variables are not related to each other.

Construct a scatterplot

The following steps are adopted to sketch a scatterplot for the given data.

• Mark the values 96.5, 97.0, 97.5 till 99.0 on the horizontal axis.
• Mark the values 97.5, 98.0 till 99.0 on the vertical axis.
• Plot points on the graph corresponding to each pair of values for the temperatures at 8 AM and 12 AM.
• Label the horizontal axis as ‘8 AM Temperature’ and the vertical axis as ‘12 AM Temperature’.

The following scatterplot is constructed.

As the points on the plot do not follow any pattern, it can be inferred that there is no relationship between the body temperatures at 8 AM and 12 AM.