(b) Suppose a sample of 10 pairs of sample data result in a test statistic of $r=0.907$ and the regression equation $\hat{y}=-0.1+6.6 x$. Additionally, $\bar{y}=81.3$ for this data.
What is the best predicted value of $y$ for $x=23$ ?

Answer

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Answer

So, the best predicted value of $y$ for $x=23$ is $\boxed{151.7}$.

Steps

Step 1 ：Given the regression equation $\hat{y}=-0.1+6.6 x$, we need to substitute $x=23$ into this equation to find the predicted value of $y$.

Step 2 ：Substituting $x=23$ into the equation gives $\hat{y}=-0.1+6.6 \times 23$.

Step 3 ：Solving the equation gives $\hat{y}=151.7$.

Step 4 ：So, the best predicted value of $y$ for $x=23$ is $\boxed{151.7}$.