In simple linear regression, most often we perform a two-tailed test of the population slope\(\style{font-family:Times New Roman;}{\beta_1}\)to determine whether there is sufficient evidence to infer that a linear relationship exists. The null hypothesis is stated as:

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*H*_{0}:\(\style{font-family:Times New Roman;}{\beta_1}\)= 0.

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*H*_{0}:\(\style{font-family:Times New Roman;}{\beta_1}\)=*b*_{1}.

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*H*_{0}:\(\style{font-family:Times New Roman;}{\beta_1}\)= 1.

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*H*_{0}:\(\style{font-family:Times New Roman;}{\beta_1}\)≠ 0.