Listed below are altitudes​ (thousands of​ feet) and outside air temperatures​ (°F) recorded during a flight. 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​ 95% confidence level with the altitude of 6327 ft​ (or 6.327 thousand​ feet).   Altitude   4   8   14   24   27   31   32   Temperature   55   37   20   −5   −27   −41   −57     a. Find the explained variation.   ______________ (Round to two decimal places as​ needed.)   b. Find the unexplained variation.   _______________ (Round to five decimal places as​ needed.)   c. Find the indicated prediction interval.   _____________°F < y < ____________ °F (Round to four decimal places as​ needed.)

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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Listed below are altitudes​ (thousands of​ feet) and outside air temperatures​ (°F) recorded during a flight. 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​ 95% confidence level with the altitude of 6327 ft​ (or 6.327 thousand​ feet).

 

Altitude

 

4

 

8

 

14

 

24

 

27

 

31

 

32

 

Temperature

 

55

 

37

 

20

 

−5

 

−27

 

−41

 

−57

 

 

a. Find the explained variation.

 

______________

(Round to two decimal places as​ needed.)

 

b. Find the unexplained variation.

 

_______________

(Round to five decimal places as​ needed.)

 

c. Find the indicated prediction interval.

 

_____________°F < y < ____________ °F

(Round to four decimal places as​ needed.)

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