Question

Given a simple regression analysis, suppose that we have obtained a fitted regression model $$ \hat{y}_i=22+8 x_i $$ and also $$ s_e=3.45 \quad \bar{x}=11 \quad n=22 \sum_{i=1}^n\left(x_i-\bar{x}\right)^2=400 $$ Find the $95 \%$ confidence interval and $95 \%$ prediction interval for the point where $x=17$.

   Given a simple regression analysis, suppose that we have obtained a fitted regression model
$$
\hat{y}_i=22+8 x_i
$$
and also
$$
s_e=3.45 \quad \bar{x}=11 \quad n=22 \sum_{i=1}^n\left(x_i-\bar{x}\right)^2=400
$$
Find the $95 \%$ confidence interval and $95 \%$ prediction interval for the point where $x=17$.

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Statistics for Business and Economics: Global Edition

Statistics for Business and Economics: Global Edition

Newbold P., Carlson… 8th Edition

Chapter 11, Problem 41

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Step 1

\[ \hat{y} = 22 + 8(17) = 22 + 136 = 158 \] Show more…

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Given a simple regression analysis, suppose that we have obtained a fitted regression model $$ \hat{y}_i=22+8 x_i $$ and also $$ s_e=3.45 \quad \bar{x}=11 \quad n=22 \sum_{i=1}^n\left(x_i-\bar{x}\right)^2=400 $$ Find the $95 \%$ confidence interval and $95 \%$ prediction interval for the point where $x=17$.

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