Use the given data to find the best predicted value of the response variable. Ten pairs of data yield $r = 0.003$ and the regression equation $\hat { y } = 2 + 3 x$. Also, $\bar { y } = 5.0$. What is the best predicted value of $y$ for $x = 2$ ?
A) $7.0$
B) $5.0$
C) $8.0$
D) $17.0$

Question

Quizplus · Accepted Answer

Since the correlation coefficient $r$ is very close to 0, the linear relationship between $x$ and $y$ is weak. Therefore, the best predicted value of $y$ is the mean $\bar{y} = 5.0$.

Use the Given Data to Find the Best Predicted Value r=0.003r = 0.003r=0.003

Use the Given Data to Find the Best Predicted Value $r = 0.003$