Subjects statistics

Lemon Imports Crash Rate 753F4F

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1. The problem involves analyzing the relationship between Lemon Imports and Crash Fatality Rate using the given data points. 2. We can model the relationship with a linear equation of the form $$y = mx + b$$ where $y$ is the Crash Fatality Rate and $x$ is Lemon Imports. 3. To find the slope $m$, use the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Choose two points, for example $(221, 15.6)$ and $(530, 15.5)$: $$m = \frac{15.5 - 15.6}{530 - 221} = \frac{-0.1}{309} \approx -0.000323$$ 4. To find the intercept $b$, use one point and the slope: $$15.6 = -0.000323 \times 221 + b$$ $$b = 15.6 + 0.000323 \times 221 = 15.6 + 0.0714 = 15.6714$$ 5. The linear model is: $$y = -0.000323x + 15.6714$$ 6. This means as Lemon Imports increase by 1 unit, Crash Fatality Rate decreases by approximately 0.000323. 7. This is a simple linear approximation; more complex models may fit better.