4.13 Non-linear regression

4.13 Non-linear regression Quiz

IB Maths: Applications and Interpretation HL: Quiz

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5 questions, one answer each

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1. A regression model has $R^2=0.87$ . Which is the correct interpretation?
- A. $87\%$ of predictions are exactly right
- B. $87\%$ of the variability in $y$ is accounted for by the model
- C. The model is $87\%$ likely to be correct
- D. $87\%$ of the variability in $x$ is accounted for by the model
2. A linear regression has $r=-0.9$ . What is $R^2$ ?
- A. $-0.9$
- B. $-0.81$
- C. $0.9$
- D. $0.81$
3. Two models are fitted to the same data. Model A has $SS_{res}=12.4$ and model B has $SS_{res}=3.1$ . Which statement is correct?
- A. Model B fits the data more closely
- B. Model A fits the data more closely
- C. They fit equally well
- D. Model B must be the more valid model
4. Which regression model should be fitted to data that show a repeating wave pattern?
- A. Exponential
- B. Power
- C. Sine
- D. Quadratic
5. The exponential model $y=ab^x$ has $b=1.05$ . What does this mean?
- A. $y$ increases by $5$ each step
- B. $y$ is multiplied by $1.05$ each step
- C. $y$ increases by $1.05$ each step
- D. $y$ is multiplied by $5$ each step