1.3 - Formulae
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Practice Questions
Test your understanding with targeted questions
What does the independent variable represent in a regression analysis?
💡 Hint: Think about what we manipulate in experiments.
What is the purpose of the regression coefficient?
💡 Hint: What might it indicate about the relationship between x and y?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary purpose of regression analysis?
💡 Hint: Remember, regression helps us understand relationships between variables.
The regression coefficient indicates what?
💡 Hint: Think about how steep the line would be.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using a dataset with points { (1, 1), (2, 3), (3, 5), (4, 7) }, calculate r, then derive the regression coefficients and write the regression equation of y on x.
💡 Hint: Work step-by-step: find means, calculate the correlation, then apply the coefficients.
Analyze the impact of study hours on exam scores using linear regression to predict the score of a student who studies for 10 hours, given your regression equation is y = 5 + 1.5x.
💡 Hint: Directly plug the value into your equation to make the prediction!
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