The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift Distance + 0.0238 0.31 a. Find the explained variation. 0.0543 0.74 (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. 0.0722 1.02 billion light-years

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The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly
selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated
prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to
use the regression equation when making predictions. For the prediction interval, use a 90% confidence level
with a redshift of 0.0126.
Redshift
Distance
0.0238
0.31
a. Find the explained variation.
0.0543
0.74
(Round to six decimal places as needed.)
b. Find the unexplained variation.
(Round to six decimal places as needed.)
c. Find the indicated prediction interval.
0.0722
1.02
billion light-years <y< billion light-years
(Round to three decimal places as needed.)
0.0393
0.54
0.0442
0.61
0.0102
0.13
Transcribed Image Text:The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift Distance 0.0238 0.31 a. Find the explained variation. 0.0543 0.74 (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. 0.0722 1.02 billion light-years <y< billion light-years (Round to three decimal places as needed.) 0.0393 0.54 0.0442 0.61 0.0102 0.13
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