Confidence Interval

Question

Explain the confidence interval of the slope or b in a simple linear regression, positive vs negative and what this means

Answer 1

The CI of the slope is the estimated range of value for the population slope at the defined level of confidence.

Example is CI = 95%, then we are 95% sure the CI contains the population slope or we are 95% sure that the CI contains the range of plausible values for the population slope.

Positive slope means that the independent and dependent variables are changing in the same direction (both increasing or decreasing).

Negative slope means they are changing in opposite directions