Concept explainers
a.
To find: a linear regression equation for the data and superimpose its graph on a
a.
Answer to Problem 66RE
Explanation of Solution
Given information: The table shows the number of doctoral degrees earned by Hispanic students for several years. Let
Year | Number of Degrees |
1990 | 780 |
2000 | 1305 |
2005 | 1824 |
2006 | 1882 |
2007 | 2035 |
Calculation:
Let
Year | Number of Degrees |
0 | 780 |
10 | 1305 |
15 | 1824 |
16 | 1882 |
17 | 2035 |
Using linear regression calculator on the above data, the linear regression model is:
The graph of the linear model
b.
To predict: predict the number of doctoral degrees earned by Hispanic Americans in 2009 using the regression equation in part (a).
b.
Answer to Problem 66RE
Explanation of Solution
Given information:
Calculation:
c.
To find: the slope of the regression line and what does the slope represent.
c.
Answer to Problem 66RE
The slope of 72.695 represents the number of degrees earned by Hispanic Americans is increasing by about 72.695 degrees per year.
Explanation of Solution
Given information:
Calculation:
The linear regression is
The slope of 72.695 represents the number of degrees earned by Hispanic Americans is increasing by about 72.695 degrees per year.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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