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. 8.0
C. 17.0
D. 5.0

Answer

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Answer

So, the best predicted value of $y$ for $x = 2$ is $8.0$ .

Steps

Step 1 ：Given the regression equation $\hat{y} = 2 + 3 x$ , we substitute $x = 2$ into the equation to find the predicted value of y.

Step 2 ：After substitution, we get $\hat{y} = 2 + 3 * 2$ .

Step 3 ：Solving the equation, we get $\hat{y} = 8$ .

Step 4 ：So, the best predicted value of $y$ for $x = 2$ is $8.0$ .