Problem

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

Solution

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 \(\boxed{8.0}\).

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Source: https://solvelyapp.com/problems/Jc5R3iNUgd/

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