Concept explainers
Doctorates in Mexico Exercises 29-32 are based on the following table showing the annual number of PhD graduates in Mexico in various fields:74
Natural Sciences | Engineering | Social Sciences | Education | |
1990 | 70 | 10 | 60 | 30 |
1995 | 130 | 40 | 110 | 40 |
2000 | 330 | 130 | 280 | 130 |
2005 | 490 | 370 | 460 | 210 |
2010 | 590 | 550 | 830 | 520 |
2012 | 590 | 590 | 1,000 | 900 |
a. With x = the number of natural science doctorates and y = the number of engineering doctorates, use technology to obtain the regression equation and graph the associated points and regression line. (Round coefficients to three significant digits.)
b. What does the slope tell you about the relationship between the number of natural science doctorates and the number of engineering doctorates?
c. Use technology to obtain the coefficient of
d. Does the graph suggest a roughly linear relationship between x and y? Why or why not?
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Finite Mathematics
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