Subjects statistics

Trend Line Fit 0365Ef

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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."