Statistics - Third secondary
Klassenstufen:
Bildungssystem: National English
1. Understanding and applying statistical methods for data analysis and interpretation
Lernziele:
1. Calculate and interpret correlation coefficients (Pearson and Spearman)
2. Construct and analyze regression lines using least squares method
3. Use statistical software (Excel, SPSS) for data analysis and visualization
4. Apply stem-and-leaf displays for data representation
5. Calculate quartiles and semi-interquartile ranges
6. Make predictions using regression models
7. Interpret statistical results in real-world contexts
Module
1. Correlation and Regression
1. 1. Correlation
Lernergebnisse:
1. Define correlation and explain its significance in data analysis.
2. Interpret and construct scatter diagrams to visualize relationships between variables.
3. Differentiate between direct (positive) and inverse (negative) correlation with examples.
4. Explain linear correlation and its characteristics.
5. Calculate and interpret Pearson’s linear correlation coefficient.
6. Calculate and interpret Spearman’s rank correlation coefficient.
7. Distinguish between types of correlation and describe their real-world applications.
8. Analyze data sets to determine the strength and direction of correlations.
1. 2. Regression
Lernergebnisse:
1. Define regression and explain its purpose in statistical analysis.
2. Identify and describe different types of regression.
3. Explain the method of least squares for fitting a regression line.
4. Derive and interpret the regression line equation from a given data set.
5. Apply the least squares method to calculate the regression line.
6. Use the regression line equation to make predictions based on data.