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General Mathematics · Unit 3 · Bivariate data analysis 1 · Identifying and describing associations between two numerical variables

Construct and use a scatterplot to identify the association between two numerical variables.

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Question 1

A researcher investigates the relationship between weekly study hours and exam scores for a group of students. The data collected is shown in the table below. Which scatterplot correctly displays this data with study hours as the explanatory variable?

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Question 2

A wildlife researcher records the average daily temperature and the number of lizards observed at a reserve over nine consecutive days. Which scatterplot correctly displays this data with average daily temperature as the explanatory variable?

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Calculate the coefficient of determination, 𝑅2, from raw data using technology, and interpret it to assess the strength of a linear association in terms of the explained variation.
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Describe an association between two numerical variables in terms of direction (positive/negative), form (linear/non-linear) and strength (strong/moderate/weak).
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