9.05 Fitting functions to exponential data
Interactive practice questions
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.
A new pan comes into the market priced at $\$75$$75.
Using data from the scatter plot:
the new pan’s quality rating can be approximated by fitting a linear function to the data
we cannot approximate the new pan's quality rating by fitting a linear, exponential or quadratic function to the data.
the new pan’s quality rating can be approximated by fitting a quadratic function to the data
the new pan’s quality rating can be approximated by fitting an exponential function to the data
According to the information given, the new pan’s quality rating can be approximated by finding a point on the scatter plot which corresponds to a similar price. True or false?
True
False
The scatter plot below shows the altitude and average annual temperature of ten randomly selected locations on Earth.
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)