1. The problem asks to identify the correct regression line equation from the given options. 2. A regression line equation is generally written as $$Y = mX + b$$ where $m$ is the slope and $b$ is the intercept. 3. The options given are four possible regression lines with different slopes and intercepts: - $Y = 0.4297X + 9.0733$ - $Y = -0.4927X + 9.0373$ - $Y = -0.4297X + 9.0733$ - $Y = 0.4927X + 9.0373$ 4. Without additional data or a graph, we cannot calculate or verify the slope and intercept values. 5. Therefore, the correct regression line equation cannot be determined from the information provided. 6. If you have data points or a scatter plot, you can calculate the slope $m$ using: $$m = \frac{n\sum XY - \sum X \sum Y}{n\sum X^2 - (\sum X)^2}$$ and the intercept $b$ using: $$b = \frac{\sum Y - m \sum X}{n}$$ where $n$ is the number of data points. 7. Please provide data or a graph to identify the correct regression line.