Use the regression capabilities of a graphing calculator to complete Exercises 29
Patents issued: An increase in the number of patent applications (see Exercise 28), typically brings an increase in the number of patents issued, though many applications are denied due to improper filing, lack of scientific support, and other reasons. The table given shows the number of patents issued for the odd years from 1993 to 2003 (1999→ 0). Use the data to (a) draw the scatterplot; (b) determine whether the association is linear or nonlinear; (c) determine whether the association is positive or negative; and (d) find the regression equation and use it to predict the number of applications that will be approved in 2011. Which is increasing faster, the number of patent applications or the number of patents issued? How can you tell for sure?
Source: United States Patent and Trademark Office at www.uspto.gov/web
Year (1990→0) | Patents (1000s) |
3 | 107.3 |
5 | 114.2 |
7 | 122.9 |
9 | 159.2 |
11 | 187.8 |
13 | 189.6 |
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