Tests of the b = 0 hypothesis are:

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Tests of the b = 0 hypothesis are typically performed using two-tail t tests. This is because the null hypothesis (b = 0) represents a range of possible values on either side of the alternative hypothesis (b ≠ 0), so a two-tail test is appropriate. One-tail tests might be used in some situations where there is a strong prior expectation about the sign of the coefficient, but this is not generally the case for b = 0 tests. Tests for the share of dependent variable variation explained by the regression model (R-squared) and tests of direction or comparative magnitude (e.g. comparing two regression coefficients to see which is larger) are different types of tests and have different purposes.

Tests of the B = 0 Hypothesis Are