The table below lists measured amounts of redshift and the distances (billions of light-years) to randomlyselected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicatedprediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable touse the regression equation when making predictions. For the prediction interval, use a 90% confidence levelwith a redshift of 0.0126.RedshiftDistance0.02380.31a. Find the explained variation.0.05430.74(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.0.07221.02billion light-years

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Answered: The table below lists measured amounts…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 7E

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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 leve with a redshift of 0.0126. Redshift Distance 0.0231 0.31 a. Find the explained variation. 0.0536 0.77 (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. 0.0716 0.0395 1.01 0.53 billion light-years
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