I'm unable to view images, including the scatterplot or the trend lines you mentioned. However, I can give you some general advice on how to determine which trend line might best describe the data relationship.
-
Linear Trend Line: Use this if the data points show a straight-line pattern. A positive slope indicates a positive correlation, while a negative slope shows a negative correlation.
-
Quadratic Trend Line: This is suitable if the data points resemble a U-shape or an inverted U-shape, indicating a parabolic relationship.
-
Exponential Trend Line: Consider this when data points increase or decrease at an increasing rate, which suggests exponential growth or decay.
-
Logarithmic Trend Line: This may be the best fit for data that increases rapidly and then levels off.
-
Power Trend Line: Use this if the data points seem to follow a polynomial trend and can be useful for data that spans several orders of magnitude.
When analyzing the scatterplot, look for the pattern formed by the points to determine which type of line fits best. If you have specific characteristics from the scatterplot that you can describe, feel free to share them, and I can help you analyze which trend line would be the most appropriate.