1. The problem asks to identify which situation best represents causation. 2. Causation means one event directly causes another. Correlation means two events happen together but one does not necessarily cause the other. 3. Analyze each option: - A: More bus stops and fewer car sales could be correlated but not necessarily causal. - B: Fewer firefighters leading to less damage is unlikely; usually fewer firefighters cause more damage. - C: Ice cream sales and sunburns both increase in summer, correlation but no direct causation. - D: Rain causing lake water level to rise is a direct cause-effect relationship. 4. Therefore, option D best represents causation. --- 5. The problem asks about the correlation coefficient between height and length of rectangles. 6. Correlation coefficient $r$ measures strength and direction of linear relationship: - $r$ close to 1 means strong positive correlation. - $r$ close to -1 means strong negative correlation. - $r$ close to 0 means weak or no correlation. 7. Given heights and lengths, both vary positively (larger heights tend to have larger lengths). 8. So the correlation is positive and likely strong due to consistent size relation. 9. The best answer is D: Strong positive correlation. --- 10. The scatterplot shows monthly high temperatures decreasing from about 111°F at Month 1 to about 85°F at Month 9. 11. We want a linear function $y=mx+b$ that fits this decreasing trend. 12. Calculate slope $m = \frac{85 - 111}{9 - 1} = \frac{-26}{8} = -3.25$ approximately. 13. Check options with negative slope near -3.25: F ($-1.6$), J ($-3.3$). 14. $-3.3$ is closer to calculated slope. 15. So the best model is $y = -3.3x + 130$ (option J). --- 16. The problem gives visits and clicks data and asks to predict clicks for 1500 visits using a linear model. 17. Use two points to find slope: for example, (629,40) and (1045,83). 18. Slope $m = \frac{83 - 40}{1045 - 629} = \frac{43}{416} \approx 0.1034$ clicks per visit. 19. Find intercept $b$ using point (629,40): $40 = 0.1034 \times 629 + b \Rightarrow b = 40 - 65.0 = -25.0$ approximately. 20. Linear model: $y = 0.1034x - 25$. 21. Predict clicks for $x=1500$: $y = 0.1034 \times 1500 - 25 = 155.1 - 25 = 130.1$ clicks. 22. Closest answer choice is 137 (option G). --- Final answers: 7. D 8. D 9. J 10. G