1. The problem is to find the regression line for the scatter plot of crime rate vs. poverty rate.
2. The regression line is given by the formula $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept.
3. To find $m$ and $b$, we use the least squares method:
$$m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}$$
$$b = \frac{\sum y - m \sum x}{n}$$
4. Since the exact data points are not provided, we estimate from the description:
- Poverty rate ($x$) ranges mostly from 0 to 80.
- Crime rate ($y$) ranges mostly from 20 to 70.
- No clear linear trend, so slope $m$ is approximately 0.
5. Therefore, the regression line is approximately horizontal near the average crime rate.
6. Estimating average crime rate $b \approx 45$ (midpoint of 20 and 70).
7. Final regression line:
$$y = 0 \cdot x + 45 = 45$$
This means crime rate does not significantly change with poverty rate in this data.
Regression Line 2E8D27
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