In simple linear regression, most often we perform a two-tail test of the population slope b ₁ to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

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The null hypothesis in simple linear regression testing for the slope ($b_1$) typically states that there is no linear relationship between the independent and dependent variables, which is mathematically represented as $H_0: b_1 = 0$. This implies that any observed relationship is due to random chance.

In Simple Linear Regression, Most Often We Perform a Two-Tail