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? make the writing short

Answer 1

The data pair (0, 100) represents a situation where a student slept for zero hours and scored 100 on a test. This is an extreme outlier, as it defies the expected relationship between sleep and test scores—typically, more sleep correlates with better performance. Including this outlier could skew the regression trend line, making it less representative of the general trend that more sleep typically leads to higher scores. Thus, excluding such extreme points helps maintain the integrity of the analysis.