Question

19 1 point For a particular set of \( x \) and \( y \) values, a calculator gives the following information: \[ n=4, \sum x=20, \sum x^{2}=140, \sum y=19, \sum y^{2}=97, \sum x y=111, \bar{x}=5, \bar{y}=4.75, r=0.974 \] and for the regression equation \( \hat{y}=b_{0}+b_{1} x \), it is found that \( b_{0}=2.75 \) and \( b_{1}=0.40 \). State the prediction interval at \( x_{0}=4 \) with \( 95 \% \) confidence as a compound inequality: \( \hat{y}-E<y<\hat{y}+E \), or in interval notation: \( (\hat{y}-E, \hat{y}+E) \). (Round values to 2 decimal places.) \( \square \) or type your answer... , type your answer... Note (1): You only have to do one of the notations. Note (2): Round to 2 decimal places.

          19
1 point
For a particular set of \( x \) and \( y \) values, a calculator gives the following information:
\[
n=4, \sum x=20, \sum x^{2}=140, \sum y=19, \sum y^{2}=97, \sum x y=111, \bar{x}=5, \bar{y}=4.75, r=0.974
\]
and for the regression equation \( \hat{y}=b_{0}+b_{1} x \), it is found that \( b_{0}=2.75 \) and \( b_{1}=0.40 \).
State the prediction interval at \( x_{0}=4 \) with \( 95 \% \) confidence as a compound inequality: \( \hat{y}-E<y<\hat{y}+E \), or in interval notation: \( (\hat{y}-E, \hat{y}+E) \). (Round values to 2 decimal places.)
\( \square \) or
type your answer...
, type your answer...

Note (1): You only have to do one of the notations.
Note (2): Round to 2 decimal places.

19
1 point
For a particular set of x and y values, a calculator gives the following information:

n=4, ∑ x=20, ∑ x^2=140, ∑ y=19, ∑ y^2=97, ∑ x y=111, x̅=5, y̅=4.75, r=0.974

and for the regression equation ŷ=b0+b1 x, it is found that b0=2.75 and b1=0.40.
State the prediction interval at x0=4 with 95 % confidence as a compound inequality: ŷ-E<y<ŷ+E, or in interval notation: (ŷ-E, ŷ+E). (Round values to 2 decimal places.)
□ or
type your answer...
, type your answer...

Note (1): You only have to do one of the notations.
Note (2): Round to 2 decimal places.

Added by Jennifer H.

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