4.4 Correlation and regression of y on x

4.4 Correlation and regression of y on x Quiz

IB Maths: Analysis and Approaches SL: Quiz

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1. A regression line is $y = 2.5x + 10$ . Estimate $y$ when $x = 6$ .
- A. 25
- B. 40
- C. 15
- D. 18.5
2. Which value of $r$ shows the strongest linear correlation?
- A. $0.72$
- B. $-0.91$
- C. $0.08$
- D. $-0.45$
3. A line $y = -4x + 60$ is found for $x$ from 2 to 9. Which prediction is extrapolation?
- A. $x = 3$
- B. $x = 5.5$
- C. $x = 12$
- D. $x = 8$
4. The regression line $y = 0.8x + 12$ passes through the mean point. If $\bar{x} = 20$ , find $\bar{y}$ .
- A. 16
- B. 28
- C. 32
- D. 9.6
5. Data lie closely on a U-shaped curve. Which is most likely?
- A. $r$ close to 1
- B. $r$ close to $-1$
- C. $r$ close to 0
- D. $r$ greater than 1