Question

before data is entered into the regression calculator,
some data may be excluded. explain why the data pair
(0, 100) was excluded for the comparison of hours slept
the night before and the test score. describe what this
data point represents. if it was included, would the trend
line describe the data well?

Explanation:

The data pair \((0,100)\) was excluded because it is an outlier. In the context of hours slept and test scores, \(0\) hours of sleep is an extreme value. This data point represents a person who scored \(100\) on a test with \(0\) hours of sleep. If included, the trend line (which is supposed to show the general relationship between hours slept and test scores) would be pulled towards this outlier. Since most people have some amount of sleep (not \(0\) hours), the trend line would not describe the relationship for the majority of the data well.

Answer:

The data pair \((0,100)\) is an outlier. It represents a person scoring \(100\) with \(0\) hours of sleep. If included, the trend line would not describe the data well.