Topics
2. Bivariate Data & Linear Models
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AustraliaQLD
Year 12

2.01 Bivariate data and line of best fit

Lesson
Worksheet
Practice

Interactive practice questions

The following scatter plot shows the data for two variables, $x$x and $y$y.

Determine which of the following graphs contains the line of best fit.

A

B

C

D
Easy
< 1min

The following scatter plot graphs data for the number of people in a room and the room temperature collected by a researcher.

Easy
< 1min

The following scatter plot graphs data for the number of copies of a particular book sold at various prices.

Easy
< 1min

A least squares regression line is given by $y=3.59x+6.72$y=3.59x+6.72.

Easy
1min
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Outcomes

3.1.2.3

calculate and interpret the correlation coefficient (𝑟) to quantify the strength of a linear association using Pearson’s correlation coefficient, where covariance and standard deviation are determined, using appropriate technology

3.1.3.3

model a linear relationship by fitting a least-squares line to the data

3.1.3.5

interpret the intercept and slope of the fitted line

3.1.3.6

use, not calculate, the coefficient of determination (R2) to assess the strength of a linear association in terms of the explained variation

3.1.4.3

solve practical problems by identifying, analysing and describing associations between two categorical variables or between two numerical variables.

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