t-interval for slopes

Definition

The t-interval for slopes is a statistical method used to estimate the range of possible values for the slope of a regression line. It provides a confidence interval that helps determine if there is a significant relationship between two variables.

Analogy

Imagine you are trying to estimate how much your height increases with each year of age. The t-interval for slopes is like using a measuring tape to calculate the range of heights you could potentially reach at different ages, giving you an idea of how much your height might change over time.

Related terms

T-test for a slope: A hypothesis test that determines whether the slope of a regression line is significantly different from zero.

Null hypothesis: The assumption that there is no relationship or difference between variables in a statistical analysis.

Confidence interval: A range of values within which we can be reasonably confident that the true population parameter lies.