topic badge

9.01 Scatter plots and fitted functions

Adaptive
Worksheet

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
a

Create a scatter plot using the data in the table:

Loading Graph...
b

Which of the following functions best models the data?

An exponential function.

A

A logarithmic function.

B

A linear function.

C
Medium
2min

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.

Easy
1min

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.

Medium
5min

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)

Medium
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.N.Q.A.1

Use units as a way to understand real-world problems.*

A2.N.Q.A.1.D

Choose an appropriate level of accuracy when reporting quantities.

A2.S.ID.B.4

Represent data from two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.*

A2.MP2

Reason abstractly and quantitatively.

A2.MP4

Model with mathematics.

A2.MP5

Use appropriate tools strategically.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

What is Mathspace

About Mathspace