topic badge

2.10 Extension: Fitting functions to quadratic data

Interactive practice questions

The scatter diagram shows the number of restaurants in a city over time.

Loading Graph...
A scatter plot is depicted with a vertical y-axis and a horizontal x-axis, both unlabeled except for the notations 'y' and 'x' at their respective ends. There are seven distinct black dots scattered across the plot, with coordinates at $\left(1,\frac{11}{20}\right)$(1,1120), $\left(2,\frac{27}{20}\right)$(2,2720), $\left(3,\frac{53}{20}\right)$(3,5320), $\left(4,\frac{69}{20}\right)$(4,6920), $\left(5,\frac{17}{4}\right)$(5,174), $\left(6,\frac{101}{20}\right)$(6,10120), and $\left(7,\frac{107}{20}\right)$(7,10720). The dots form a not-so-perfect straight line if they are connected. The graph indicates that as time increases, the number of parks in a city also increases. The coordinates of the points are not explicitly shown in the image.
a

Which type of model would be appropriate for this data?

Linear

A

Quadratic

B
b

Will the slope of the line in the linear model be positive or negative?

Positive

A

Negative

B
Easy
< 1min

The scatter diagram shows the number of sales of hot-chocolate a cafe makes as a function of temperature.

Easy
< 1min

The scatter diagram shows the number of fish in pond as a function of time.

Easy
< 1min

The scatter diagram shows the average fuel economy of a car as a function of speed.

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

What is Mathspace

About Mathspace