Consider the following data values of variables x and y. $$\begin{array} { | l | l c c c c c | }
\hline \boldsymbol { x } & 2 & 4 & 6 & 8 & 10 & 13 \
\hline \boldsymbol { y } & 7 & 11 & 17 & 21 & 27 & 36 \
\hline
\end{array}$$
a.Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables.
b.Calculate the Pearson coefficient of correlation. What sign does it have? Why?
c.What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

Question

Consider the following data values of variables x and y. $$\begin{array} { | l | l c c c c c | } 
\hline \boldsymbol { x } & 2 & 4 & 6 & 8 & 10 & 13 \
\hline \boldsymbol { y } & 7 & 11 & 17 & 21 & 27 & 36 \
\hline
\end{array}$$ 
a.Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables.
b.Calculate the Pearson coefficient of correlation. What sign does it have? Why?
c.What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

Quizplus · Accepted Answer

The Answer of Consider the following data values of variables x and y. $$\begin{array} { | l | l c c c c c | } 
\hline \boldsymbol { x } & 2 & 4 & 6 & 8 & 10 & 13 \
\hline \boldsymbol { y } & 7 & 11 & 17 & 21 & 27 & 36 \
\hline
\end{array}$$ 
a.Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables.
b.Calculate the Pearson coefficient of correlation. What sign does it have? Why?
c.What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

Consider the Following Data Values of Variables X and Y