Question

1. the scatter plot shows the ounces of caffeine consumed and the number of hours slept for several different individuals.

a. based on the scatter plot, how many hours would you expect a person to sleep that has had 0 ounces of caffeine?
b. based on the scatter plot, how many ounces of caffeine would you expect a person to have consumed if they slept for 8 hours?

Explanation:

Step1: Analyze part a

Looking at the scatter - plot, when the amount of caffeine is \(0\) (the \(y\) - value for caffeine is \(0\)), we find the corresponding \(x\) - value (hours slept). By visual inspection of the scatter - plot (assuming a linear or general trend), if we consider the left - most part of the data (where caffeine is close to \(0\)), we can estimate the hours slept.

Step2: Analyze part b

For part b, we look at the \(x\) - value of \(8\) (hours slept). Then we find the corresponding \(y\) - value (ounces of caffeine) on the scatter - plot.

Answer:

a. If a person has had \(0\) ounces of caffeine, by looking at the left - most part of the scatter - plot (assuming a trend), we would expect a person to sleep about \(8\) hours.
b. If a person slept for \(8\) hours, by looking at the \(x = 8\) on the scatter - plot, we would expect a person to have consumed about \(24\) ounces of caffeine.