Bivariate Data Analysis - Year 12 Mathematics Standard 2

Flashcards created for bivariate data analysis concepts covered in Year 12 Mathematics Standard 2 lecture notes.

What is a bivariate scatterplot used for?

To identify patterns in data and describe the features and associations of bivariate datasets.

What do you identify in a bivariate dataset?

The dependent and independent variables.

How is Pearson's correlation coefficient interpreted?

It quantifies the strength of a linear association of a sample, ranging from -1 to 1.

What does a linear association in a scatterplot show?

The points tend to follow a straight line.

What indicates a positive association in a scatterplot?

The gradient of the line is positive.

How can the strength of an association be categorized?

Strong, weak, or moderate, based on the amount of scatter in the plot.

What are the steps for constructing a bivariate scatterplot?

Draw a number plane, determine scales and titles for axes, and plot ordered pairs.

What is interpolation in the context of linear regression?

Predicting values within the range of the dataset.

What does the method of least squares achieve?

It minimizes the sum of the squares of the vertical distances (residuals) to find the line of best fit.

What does a strong positive correlation coefficient indicate?

Both quantities increase simultaneously with a correlation coefficient (r) of +0.75 to +0.99.

What does extrapolation entail?

Predicting values outside the range of the dataset.

What are the four steps of a statistical investigation?

Collecting data, organizing data, summarizing and displaying data, and analyzing data.

What ethical issues can arise in a statistical investigation?

Bias, accuracy, copyright, and privacy.

What does causation indicate in statistics?

One event is the result of the occurrence of another event or variable.