Data handling: Use variance and regression analysis to interpolate and extrapolate bivariate data
Subject outcome
Subject outcome 4.2: Use variance and regression analysis to interpolate and extrapolate bivariate data
Learning outcomes
- Calculate:
- variance, and
- standard deviation manually for small sets of data only.
- Interpret the meaning of variance and standard deviation for small sets of data only.
- Represent bivariate numerical data as a scatter plot.
- Identify intuitively whether a linear, quadratic or exponential function would best fit the data.
- Draw the intuitive line of best fit.
Range:- Data given should include problems related to health, social, economic, cultural, political and environmental issues.
- For small sets of data only (limited to 8).
- Use least squares regression method to determine a function which best fits a given set of bivariate data.
- Use the regression line to predict the outcome of a given problem.
Unit 1 outcomes
By the end of this unit you will be able to:
- Calculate variance for ungrouped data manually.
- Calculate standard deviation for ungrouped data manually.
- Interpret variance and standard deviation.
Unit 2 outcomes
By the end of this unit you will be able to:
- Draw a scatter plot.
- Understand when it is appropriate to use a scatter plot.
- Draw an intuitive line of best fit.
Unit 3 outcomes
By the end of this unit you will be able to:
- Determine the linear regression equation [latex]\scriptsize \hat{y}=a+bx[/latex].
- Use the regression line to predict the outcome of a given problem.
