Concept explainers
a.
To graph: the given data on
a.
Answer to Problem 53SGA
Explanation of Solution
Given information:
Year | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2008 |
Visitors | 18458 | 20639 | 22658 | 24194 | 23698 | 24466 | 25975 | ? |
Calculation:
Let the year be x and the number of visitors be y. Plot of the graph from the given data will be as follows:
b.
To find: the equation of a best fit line by using two ordered pairs.
b.
Answer to Problem 53SGA
Explanation of Solution
Given information:
Year | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2008 |
Visitors | 18458 | 20639 | 22658 | 24194 | 23698 | 24466 | 25975 | ? |
Calculation:
Select any two ordered pairs like
Put any point coordinate and slope value into the slope intercept formula and evaluate the y -intercept as follows:
Now, put the values of slope and b into the slope intercept formula as follows:
Thus, the equation is
c.
To find: the equation of regression line and its
c.
Answer to Problem 53SGA
Explanation of Solution
Given information:
Year | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2008 |
Visitors | 18458 | 20639 | 22658 | 24194 | 23698 | 24466 | 25975 | ? |
Calculation:
From the graph
By using the graphing calculator, we get slope value as 1115.8928571429 and intercept value as
Now, put the values in the following equation and evaluate regression of equation of line
Thus, the regression line equation is,
By using graphing calculator, the value of
d.
To explain: the whether the relationship predicted by the equation for the number of visitors in 2008 is reliable.
d.
Answer to Problem 53SGA
35 million
Explanation of Solution
Given information:
Year | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2008 |
Visitors | 18458 | 20639 | 22658 | 24194 | 23698 | 24466 | 25975 | ? |
Calculation:
Since
Putting the value of
This suggests that each year more and more people visit the U.S from overseas. The reason behind the steadily increasing number of visitors is not known. It may be due to increase in population, more people travel, or maybe travel to U.S is easier.
35 million visitors seem like a reasonable number. It doesn't exceed the world population.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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