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 0.0236 0.0535 0.0722 0.0398 0.0438 0.0108 Distance 0.34 0.75 0.98 0.55 0.63 0.14 a. Find the explained variation. ______________ (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. _____________billion light-years < y < ____________ billion light-years (Round to three decimal places as needed.)
Section 10.3 Question #8
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
|
Redshift
|
0.0236
|
0.0535
|
0.0722
|
0.0398
|
0.0438
|
0.0108
|
|---|---|---|---|---|---|---|
|
Distance
|
0.34
|
0.75
|
0.98
|
0.55
|
0.63
|
0.14
|
a. Find the explained variation.
______________
(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.
_____________billion light-years < y < ____________ billion light-years
(Round to three decimal places as needed.)
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