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:

$$\begin{array} { l r r r r }
\text { Predictor } & \text { Coef } & \text { SE Coef } & \mathrm { T } & \mathrm { P } \
\text { Constant } & 101.46 & 79.05 & 1.28 & 0.207 \
\text { age } & - 1.627 & 1.559 & - 1.04 & 0.303
\end{array}$$
S = 41.5236 R-Sq = 2.9% R-Sq(adj) = 0.2%
Using a significance level of 0.05, which of the following conclusions best describes the findings?

Question

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:
​
 $$\begin{array} { l r r r r } 
\text { Predictor } & \text { Coef } & \text { SE Coef } & \mathrm { T } & \mathrm { P } \
\text { Constant } & 101.46 & 79.05 & 1.28 & 0.207 \
\text { age } & - 1.627 & 1.559 & - 1.04 & 0.303
\end{array}$$ ​
S = 41.5236 R-Sq = 2.9% R-Sq(adj) = 0.2%
Using a significance level of 0.05, which of the following conclusions best describes the findings?

Quizplus · Accepted Answer

The output shows that the p-value is greater than 0.05, indicating a lack of significant evidence to reject the null hypothesis that there is no linear relationship between age and the six-month percent change in LH during the menopausal years. Therefore, the best choice is A, which states that the study failed to find evidence (P > 0.05) of a linear relationship between age and the six-month percent change in LH during the menopausal years.

Researchers Examined Hormonal Changes in 39 Women During the Menopausal