Math Problem Statement
Problem sheet 5 (Business statistics).pdf
134.46 KB
Solution
The document contains multiple exercises focused on statistical analysis and regression. Here’s a breakdown of the problems included:
1. Exercise 1 (12-7):
- Comparison of language skills between single children, twins, and triplets.
- Tasks:
- Perform ANOVA to check for significant differences.
- Compute effect size ().
2. Exercise 2 (12-9):
- Comparing the effectiveness of three therapy techniques for phobias.
- Tasks:
- Conduct ANOVA for differences among therapies.
3. Exercise 3 (12-13):
- Complete missing ANOVA table values for an experiment with four treatment conditions.
4. Exercise 4 (12-21):
- Sociability scores comparison across three body types.
- Task:
- Conduct ANOVA to find significant differences.
5. Exercise 5 (17-1):
- Graphing two linear equations and analyzing slope coefficients.
6. Exercise 6 (17-3):
- Correlation and regression for a dataset with pairs.
- Tasks:
- Compute Pearson correlation.
- Find regression equation.
7. Exercise 7 (17-4):
- Regression predictions using .
8. Exercise 8 (17-7):
- Linear regression for a small dataset.
- Tasks:
- Find regression equation.
- Compute predictions and residuals.
9. Exercise 9 (17-8):
- Multiple regression tasks for a dataset:
- Find regression equation.
- Calculate predicted values.
- Compute SSres and Pearson correlation.
10. Exercise 10 (17-10):
- Regression equation determination for given data.
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Math Problem Analysis
Mathematical Concepts
Statistical Analysis
ANOVA
Effect Size (η²)
Regression
Correlation
Multiple Regression
Linear Equations
Formulas
ANOVA F-test
Effect Size (η²)
Pearson Correlation
Regression Equation: ŷ = mx + b
Multiple Regression Equation
Theorems
Analysis of Variance (ANOVA)
Regression Theorem
Pearson Correlation Coefficient Theorem
Suitable Grade Level
Grades 11-12 / University Level
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