Question

In: Statistics and Probability

Listed below are altitudes​ (thousands of​ feet) and outside air temperatures​ (°F) recorded during a flight....

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

6

16

22

27

31

33

  

Temperature

57

36

26

−3

−30

−41

−50

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.

degrees°F less than<y less than<degrees°F

​(Round to four decimal places as​ needed.)

Solutions

Expert Solution

The statistical software output for this problem is:

Hence,

a) Explained variation = 9931.00

b) Unexplained variation = 376.43

c) 95% prediction interval:

20.5431 < y < 72.7298

-


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