Test the significance of the correlation coefficient $r$ at $\alpha = 0.05$ for the data below. $\begin{array} { l c c c c c } \text { X values } & 53 & 60 & 68 & 78 & 83 \ \text { Y values } & 81 & 86 & 91 & 97 & 104 \end{array}$ A) Reject $\rho = 0$ because $12.15 2.78$ B) Accept $\rho = 0$ because $12.47 3.18$ D) Accept $\rho = 0$ because $12.15

Question

Test the significance of the correlation coefficient $r$ at $\alpha = 0.05$ for the data below. $\begin{array} { l c c c c c } \text { X values } & 53 & 60 & 68 & 78 & 83 \ \text { Y values } & 81 & 86 & 91 & 97 & 104 \end{array}$ A) Reject $\rho = 0$ because $12.15 > 2.78$ B) Accept $\rho = 0$ because $12.47 <$ C) Reject $\rho = 0$ because $12.47 > 3.18$ D) Accept $\rho = 0$ because $12.15 <$

Quizplus · Accepted Answer

The test statistic calculated for the correlation coefficient is greater than the critical value at $\alpha = 0.05$, leading to the rejection of the null hypothesis that $\rho = 0$.

Test the Significance of the Correlation Coefficient rrr At α=0.05\alpha = 0.05α=0.05

Test the Significance of the Correlation Coefficient $r$ At $\alpha = 0.05$