• Mathematics General
• Year 12

# Bivariate statistics

approx. 12 hrs

8 topics

17 concepts

Enrol in Bivariate statistics and gain proficiency in the techniques required to perform regression analysis on linear and exponential models.

Available in
NT SA

### Overview

Bivariate statistics introduces students to some methods for identifying, analysing and describing associations between pairs of variables, including using the least-squares method as a tool for modelling and analysing linear associations. Students will develop proficiency to conduct regression analysis on both linear and exponential models, with the aid of a CAS calculator. We will help students to effectively communicate results and make predictions using appropriate terminology.

### Topics & Concepts We Cover

This learning program is made up of the following 8 topics, broken down into 17 concepts.

• #### Statistical investigaion 1 concept

1. Implement the statistical investigation process to answer questions

• #### EV and RV 1 concept

1. Identify independent and dependent variables in bivariate data analysis

• #### Association and categorical and numerical variables 2 concepts

1. Use box plots, dot plots and stem plots to identify and describe associations between a numerical and a categorical variable

2. Construct a scatterplot using technology

• #### Association and two numerical variables 2 concepts

1. Construct a scatterplot using technology

2. Interpret scatterplots including direction, form and strength

• #### Correlation 4 concepts

1. Calculate the coefficient of determination and interpret its value

2. Calculate Pearson's correlation coefficient using technology

3. Demonstrate understanding of correlation and causation

4. Classify the correlation coefficient from a scatterplot or given a value for r

• #### Regression line 4 concepts

1. Fitting a least squares line and calculating the correlation coefficient

2. Interpolation and extrapolation of regression lines

3. Find the equation of the least-squares line of best fit

4. Interpret the slope and intercept of a regression line

• #### Residuals 2 concepts

1. Use a residual plot to determine the appropriateness of using the equation of the least squares line to model the association

2. Calculate residuals

• #### Exponential regression 1 concept

1. Perform regression analysis on an exponential function

### What you'll get Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Bivariate statistics Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program? Simply pick a time that works for you  We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime