In: Statistics and Probability
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.)
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
-