Math
Slope inference.
Definition
Statistical procedures for making inferences about the true slope of a population regression line based on sample data. This includes constructing confidence intervals for the slope and performing hypothesis tests to determine whether the slope is significantly different from zero.
Examples
Real-world.
- 1 Testing whether hours studied has a statistically significant linear relationship with exam scores
- 2 Constructing a 95% confidence interval for the slope of the regression line predicting income from education years
Key Fact
Test statistic: t = (b − β₀) / SE_b, with df = n − 2