Bivariate Data Analysis Worksheet
Analyze relationships between two variables using scatter plots, correlation, and regression at a Grade 12 level.
Includes
Topics
Bivariate Data Analysis
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Read each question carefully and provide detailed answers. Show all your work for calculations.
1. Define bivariate data and provide two examples of real-world scenarios where bivariate data would be collected.
2. Which of the following scatter plots most likely represents a strong negative correlation?
3. Correlation does not imply , meaning that just because two variables are related, one does not necessarily cause the other.
4. A correlation coefficient of -0.9 indicates a (strength) and (direction) linear relationship between two variables.
5. A study found a strong positive correlation between hours spent studying for a test (x) and the test score (y). The least-squares regression line was found to be ŷ = 5x + 60. Interpret the slope and y-intercept in the context of this problem.
6. A residual plot shows the difference between the observed y-values and the predicted y-values from a regression model.
True
False
7. Explain what the coefficient of determination (r-squared) represents in the context of a linear regression model.