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(a)
To find the
(a)
Answer to Problem 42E
The correlation between flights with year is 0.8275 .
Explanation of Solution
The number of flights by U.S. airlines has grown rapidly and the number of flights flown in each year from 1995 to 2005 is given in the question as:
| Year | Flights |
| 1995 | 53,27,435 |
| 1996 | 53,51,983 |
| 1997 | 54,11,843 |
| 1998 | 53,84,721 |
| 1999 | 55,27,884 |
| 2000 | 56,83,047 |
| 2001 | 59,67,780 |
| 2002 | 52,71,359 |
| 2003 | 64,88,539 |
| 2004 | 71,29,270 |
| 2005 | 71,40,596 |
We will be calculation the correlation between the year and fights by using excel. That is,
Formula used:
The CORREL
CORREL(array 1 ,array 2 )
Calculation:
Now, we will calculate the correlation coefficient using the excel. We will use the above CORREL function for this and we will have,
=CORREL(G8:G22,H8:H22)
And the answer to this will be as:
| Correlation coefficient | 0.8275 |
So, the correlation between flights with yearis 0.8275 .
(b)
To make a
(b)
Explanation of Solution
The scatterplot between the flights and the year is as follows:
The number of flights is on the vertical axis and the year is on the horizontal axis. From the scatterplot on the above, we can say that the points are moving upwards and is positive. Thus, the association is positive and we can also see that the number of flights are increasing over the years or as the time increases.
(c)
To note two reasons that the correlation you found in part (a) is not suitable summary of the strength of the association and can you account for these violations of the conditions.
(c)
Answer to Problem 42E
First is in the year 2002 , number seems to be an outlier and second is in the year 1995 to 1998 number of flights seems to be just flat and not really growing.
Explanation of Solution
The number of flights by U.S. airlines has grown rapidly and the number of flights flown in each year from 1995 to 2005 is given in the question. And the correlation between flights with year is 0.8275 . The two reasons that the correlation we found in part (a) is not suitable summary of the strength of the association are first is in the year 2002 , number seems to be an outlier and second is in the year 1995 to 1998 number of flights seems to be just flat and not really growing. Yes, we can account for these violations of the conditions.
Chapter 7 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
College Algebra (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics
Calculus: Early Transcendentals (2nd Edition)
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