9.04 Quadratic regression
Interactive practice questions
The scatter diagram shows the number of fish in pond as a function of time.
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 eight distinct black dots scattered across the plot, with coordinates at $\left(1,8\right)$(1,8), $\left(2,\frac{25}{6}\right)$(2,256), $\left(3,\frac{4}{3}\right)$(3,43), $\left(4,\frac{4}{5}\right)$(4,45), $\left(5,\frac{4}{3}\right)$(5,43), $\left(6,\frac{25}{6}\right)$(6,256), and $\left(7,8\right)$(7,8). The coordinates are not explicitly shown in the image.
Which type of model would be appropriate for this data?
Linear
Quadratic
Will the coefficient of $x^2$x2 in the quadratic model be positive or negative?
Positive
Negative
The scatter diagram shows the average fuel economy of a car as a function of speed.
The scatterplot shows the concentration of a medication in a patient's bloodstream as a function of time.
A high school physics class launched a toy rocket and recorded its height over time. Their tracking software produced the following results: