Concept explainers
To calculate: To write an equation for each line of fit and to find if slope and y-intercept of the graphs of the equation the same
Answer to Problem 10HP
Equation of line of fit for State A is
Equation of line of fit for State B is
Explanation of Solution
Given information: Table showing the population of two states for several years
Year | Population (millions) | |
State A | State B | |
2001 | 12.4 | 12.3 |
2002 | 12.5 | 12.3 |
2003 | 12.6 | 12.3 |
2004 | 12.7 | 12.4 |
2005 | 12.7 | 12.4 |
2006 | 12.8 | 12.4 |
Formula Used:
Equation of line passing through two points is given as
Slope intercept of line is given as
Where,
Calculation:
Data is given as
Year | Population (millions) | |
State A | State B | |
2001 | 12.4 | 12.3 |
2002 | 12.5 | 12.3 |
2003 | 12.6 | 12.3 |
2004 | 12.7 | 12.4 |
2005 | 12.7 | 12.4 |
2006 | 12.8 | 12.4 |
Consider State A
Point on line are as follows:
Equation of line passing through above points is
Consider State B
Point on line are as follows:
Equation of line passing through above points is
Slope of the equation remains same, but y-intercept changes
Conclusion:
Hence,
Equation of line of fit for State A is
Equation of line of fit for State B is
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