Flashcards and recall.

Try this with General Mathematics

1. Write one prompt per card. Use definitions, explanations or examples from your current topic.
2. Answer aloud before turning the card. Split a card if it asks for several unrelated facts.
3. Set aside missed cards and revisit them in a later session.

View General Mathematics resources on ATARMAXXING ↗

Recall topics

• Statistical investigation process
• Dependent (response) variable
• What is a scatter plot and what must be labelled on it?
• The three features you must give when describing an association from a scatter plot
• Positive association
• Form of an association
• How is the strength of a linear association judged?
• Pearson's correlation coefficient (r)
• Rough guide for describing strength from the value of r
• Why can a high value of r be misleading if you have not looked at the scatter plot?
• Does swapping the explanatory and response variables change r?
• To how many decimal places should r, r² and other statistics be quoted in the exam?
• Write a full interpretation of r² = 0.836 for hours studied and test score
• Outlier (bivariate data)
• When is it legitimate to remove an outlier from a data set?
• What effect does removing an outlier usually have on r and r²?
• How do you answer 'comment on the effect of the outlier' for 2 marks?
• Give the two standard reasons a strong correlation need not mean causation
• Confounding (third) variable
• A report claims 'r = 0.93 proves that using the app improves sleep'. How do you respond?
• Least squares line of best fit
• In y = a + bx, which letter is the slope and which is the intercept?
• Slope (rate of change) of a regression line: what does it mean?
• Intercept (initial value) of a regression line: what does it mean?
• When is the intercept of a least squares line not meaningful in context?
• How should you write the final regression equation to gain full marks?
• Why should you use the stored regression equation rather than rounded coefficients when predicting?
• Does the least squares line always pass through a data point?
• Residual
• Residual plot
• What does a random, patternless residual plot tell you?
• What does a curved (∪ or ∩ shaped) pattern in a residual plot indicate?
• Steps to calculate and plot residuals by hand
• Can r² alone tell you whether a linear model is appropriate?
• How do you decide between a linear and an exponential model for a data set?
• Exponential regression
• In y = a·b^x, what does 'b' represent?
• Interpret b = 1.152 in P = 320 × 1.152^t, where t is years since 2020 and P is the number of members
• Interpret b = 0.874 in an exponential model for the mass of a decaying sample per hour
• What is the key difference between the linear and exponential models in how the response changes?