The average monthly temperature and the average wind speed in a particular location was plotted over several months. The graph shows the points for each month’s data and their line of best fit.

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A scatter plot is displayed with temperature (°C) on the horizontal axis, ranging from 0 to

10

, and wind speed (knots) on the vertical axis, ranging from 0 to 8. A series of black dots represent individual data points plotted on the graph. The data points show a decreasing trend from the top left to the bottom right. A straight line descends diagonally across the plot, suggesting a linear relationship as it passes through the scattering of points. The line passes through points $\left(0,8\right)$(0,8) and $\left(10,2\right)$(10,2), but is not explicitly given in the image.

Use the line of best fit to approximate the wind speed on a day when the temperature is $5$5°C.

Easy

< 1min

A plane's altitude ($A$A) is measured at several times ($t$t) during its descent.

The data and the line of best fit are shown below.

Easy

2min

Chirping crickets can be an excellent indication on how hot or cool it is outside. Different species of crickets have different chirping rates but for a particular species the following data was recorded.

Easy

1min

The equation $d=58-0.63h$d=58−0.63h represents the line of best fit relating the air humidity, $h$h, and the depth in metres, $d$d, of snow in an area.

Easy

3min

Outcomes

9.D1.3

Create a scatter plot to represent the relationship between two variables, determine the correlation between these variables by testing different regression models using technology, and use a model to make predictions when appropriate.

9.D2.1

Describe the value of mathematical modelling and how it is used in real life to inform decisions.

8.03 Fitting a straight line - least squares regression

Interactive practice questions

Outcomes

9.D1.3

9.D2.1

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