Researchers Examined Hormonal Changes in 39 Women During the Menopausal

Short Answer

Researchers examined hormonal changes in 39 women during the menopausal years. They found a weak linear relationship between age (in years) and the six-month percent change in plasma level of the reproductive hormone LH (luteinizing hormone). Software gives the following output for a least-squares regression analysis:
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$$\begin{array} { l c r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\\text { Constant } & 101.46 & 79.05 & 1.28 & 0.207 \\\text { age } & - 1.627 & 1.559 & - 1.04 & 0.303\end{array}$$ ​
S = 41.5236 R-Sq = 2.9% R-Sq(adj) = 0.2%
Based on this output, when testing the hypotheses H₀: β₁ = 0 versus H_a: β₁ ≠ 0, the value of the t statistic is ______________.