5.06 Scatter plots and fitted functions
Interactive practice questions
The following table shows the approximate total number of patent applications in the U.S. for a number of years since 1900.
| Year | Number of U.S. Patent Applications (in thousands) |
| 2010 | $520$520 |
| 2005 | $420$420 |
| 1995 | $230$230 |
| 1980 | $110$110 |
| 1950 | $80$80 |
| 1900 | $40$40 |
Create a scatter plot using the data in the table:
Which of the following functions best models the data?
An exponential function.
A logarithmic function.
A linear function.
An independent organization conducts quality testing of various products. One of their aims is to determine if more highly priced goods reflect better quality products. The following scatter plot shows price and quality rating given to $12$12 different cooking pans on the market.
When CTech first released a digital application (an ‘app’) onto the market, the number of sales increased slowly at first, but then the number of sales started to increase very rapidly.
The following exponential curve of best fit was used to model the set of data points:
$\left(8,0.02\right),\left(9,0.1\right),\left(10,0.3\right),\left(11.5,2\right),\left(13.5,15\right)$(8,0.02),(9,0.1),(10,0.3),(11.5,2),(13.5,15)