Consider the data set shown below. Find the coefficient of determination for the simple linear regression model. $$\begin{array} { c | c | c | c | c | c | c | c }
\mathrm { y } & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm { x } & - 2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$$
A) 0.9003
B) 0.8804
C) 0.9489
D) 0.9383

Question

Consider the data set shown below. Find the coefficient of determination for the simple linear regression model. $$\begin{array} { c | c | c | c | c | c | c | c } 
\mathrm { y } & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm { x } & - 2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$$
A) 0.9003
B) 0.8804
C) 0.9489
D) 0.9383

Quizplus · Accepted Answer

The coefficient of determination is a measure of how well the regression line fits the data. It is calculated as the square of the correlation coefficient. The correlation coefficient for the given data set is 0.9696, so the coefficient of determination is 0.9696^2 = 0.9383.

Consider the Data Set Shown Below A) 09003 B) 0

Consider the Data Set Shown Below A) 09003
B) 0