3.01 Least squares regression line

Lesson

Worksheet

Practice

Interactive practice questions

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.

Loading Graph...

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

Which of the following could be the equation for the line of best fit?

Easy

< 1min

Outcomes

U3.AoS1.23

answer statistical questions that require a knowledge of the associations between pairs of variables

U3.AoS1.11

least squares line and its use in modelling linear associations

U3.AoS1.25

use the least squares line of best fit to model and analyse the linear association between two numerical variables and interpret the model in the context of the association being modelled

3.01 Least squares regression line

Interactive practice questions

Outcomes

U3.AoS1.23

U3.AoS1.11

U3.AoS1.25

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