1. The problem is to determine whether the given trend line is a good fit for the data points on the graph.
2. A trend line is a good fit if it closely follows the pattern of the data points, minimizing the total vertical distance (residuals) between the points and the line.
3. Important rules:
- The line should minimize the sum of vertical distances from all points.
- The number of points above and below the line should be roughly balanced.
- Outliers that do not follow the pattern can affect the fit.
4. Observing the graph:
- The total vertical distance between the line and the points is small.
- The number of points above and below the line is not equal.
- There is an outlier point at (5,7) that does not follow the pattern.
- The line passes through at least one point.
5. Conclusion:
- The trend line is a good fit because the total vertical distance is small.
- However, the imbalance of points above and below and the presence of an outlier suggest it is not a perfect fit.
6. Final answer: The best justification is "The trend line is a good fit because the total vertical distance between the line and the points in the plot is small."
Trend Line Fit 0365Ef
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