Question 18

Suppose that you run a correlation and find the correlation coefficient is 0.71 and the regression equation is $\hat{y}=8 x-45.5$. The means of your data were $\bar{x}=7.7$ and $\bar{y}=15.6$.

If the critical value is .606 , use the appropriate method to predict the $y$ value when $x$ is 9.6

Answer

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Answer

$\boxed{31.3}$ is the predicted y value when x is 9.6.

Steps

Step 1 ：The problem provides us with a regression equation $\hat{y}=8 x-45.5$, and asks us to predict the y value when x is 9.6.

Step 2 ：We can do this by substituting x = 9.6 into the equation and calculating the corresponding y value.

Step 3 ：Substituting x = 9.6 into the equation gives us $\hat{y}=8(9.6)-45.5$.

Step 4 ：Solving this equation gives us $\hat{y}=31.3$.

Step 5 ：$\boxed{31.3}$ is the predicted y value when x is 9.6.