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 11 14 20 28 31 34   Temperature 55 39 26 −2 −34 −41 −59       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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Section 10.3 Question #6

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
11
14
20
28
31
34
 
Temperature
55
39
26
−2
−34
−41
−59
 
 
 
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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