$$\begin{array}{l}
\text { Find the value for } r \text { and test the significance of } r \text { at the } 5 \% \text { level and at the } 1 \% \text { level. }\
\begin{array} { c | c c c c }
x & 21 & 14 & 18 & 23 \
\hline y & 9 & 1 & 5 & 11
\end{array}
\end{array}$$
A) r = 0.998. r is significant at the 5% level, but not at the 1% level
B) r = 0.998. r is significant at the 5% level and the 1% level
C) r = 0.995. r is significant not significant at the 5% level or the 1% level
D) r = 0.995. r is significant at the 5% level, but not at the 1% level

Question

$$\begin{array}{l}
\text { Find the value for } r \text { and test the significance of } r \text { at the } 5 \% \text { level and at the } 1 \% \text { level. }\
\begin{array} { c | c c c c } 
x & 21 & 14 & 18 & 23 \
\hline y & 9 & 1 & 5 & 11
\end{array}
\end{array}$$
A) r = 0.998. r is significant at the 5% level, but not at the 1% level
B) r = 0.998. r is significant at the 5% level and the 1% level
C) r = 0.995. r is significant not significant at the 5% level or the 1% level
D) r = 0.995. r is significant at the 5% level, but not at the 1% level

Quizplus · Accepted Answer

The correlation coefficient r is calculated to be 0.998, which is very close to 1, indicating a strong positive linear relationship. Given the small sample size (n=4), the critical values for significance at both the 5% and 1% levels are lower than 0.998, making r significant at both levels.

A) R = 0998