Simple linear regression with One regressor: Inference

3 important questions on Simple linear regression with One regressor: Inference

Interpret the meaning of a 95% confidence interval (2 interpretations)

1. the set of values that cannot be rejected at the 5% significance level;
2. a set-valued function of the data (an interval that is a function of the data) that contains the true parameter value in 95% of the time in repeated samples.

UQ: What does "linear in Y" mean?

Abc

How do we interpret a regression with a binary regressor?

In simple terms: the coefficient is represents the average difference between the 2 groups (denoted with 1 and 0).

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