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In Simple Linear Regression, Most Often We Perform a Two-Tail β1\beta _ { 1 }

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In simple linear regression, most often we perform a two-tail test of the population slope β1\beta _ { 1 } to determine whether there is sufficient evidence to infer that a linear relationship exists. Which of the following best describes the null and alternative hypotheses needed for a test of significance? AH0:β0=0Ha:β00BH0:β10Ha:β1=0CH0:β0=0Ha:β00DHo:β1=0Ha:β10\begin{array}{|l|l|}\hline A&H_{0}: \beta_{0}=0 \\&\mathrm{H}_{\mathrm{a}}: \beta_{0} \neq 0\\\hline B&\mathrm{H}_{0}: \beta_{1} \neq 0\\&\mathrm{H}_{a}: \beta_{1}=0 \\\hline C&\mathrm{H}_{0}: \beta_{0}=0 \\&\mathrm{H}_{\mathrm{a}}: \beta_{0} \neq 0\\\hline D&\mathrm{Ho}: \beta_{1}=0\\&\mathrm{H}_{a}: \beta_{1} \neq 0 \\\hline \end{array}

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