4.4 Least Squares Regression and Correlation

Key ideas

• Different statistical techniques require justification and the identification of their limitations and validity.

• Approximation in data can approach the truth but may not always achieve it.

• Some techniques of statistical analysis, such as regression, standardization or formulae, can be applied in a practical context to apply to general cases.

• Modelling through statistics can be reliable, but may have limitations.

• I can explain what linear correlation of bivariate data is.

• I can use technology top determine Pearson’s product-moment correlation coefficient, r

• I can discuss and interpret scatter diagrams by eye and explain why the line of best fit, passes through the mean point.

• I can find the equation of the regression line of y on x using technology and use it for prediction purposes.

• I can interpret the meaning of the parameters a and b, in a linear regression y=ax+b.