The table below lists measured amounts of redshift and the distances(billions oflight-years) to randomly selected astronomical objects. Find the(a) explainedvariation, (b) unexplainedvariation, and(c) indicated prediction interval. There is sufficient evidence to support a claim of a linearcorrelation, so it is reasonable to use the regression equation when making predictions. For the predictioninterval, use a90% confidence level with a redshift of 0.0126.

Redshift

0.0236

0.0539

0.0722

0.0393

0.0442

0.0106

Distance

0.32

0.74

1.01

0.55

0.59

a. Find the explained variation.

(Round to six decimal places asneeded.)

b. Find the unexplained variation.

(Round to six decimal places asneeded.)

c. Find the indicated prediction interval.

billion light-years< y< billionlight-years

(Round to three decimal places asneeded.)