The correct statement about a trend line is:
A regression line and trend line are equivalent terms.
Some additional details about trend lines:
• A trend line represents the overall direction or general movement of a set of data points over time.
• It is calculated using the same techniques as a regression line, such as least squares.
• A trend line passes through the center of the data cloud to show the trend or pattern, without necessarily passing close to all the points.
• A trend line can represent the general upward, downward, or linear trend of the data. It does not have to pass close to extreme data points.
• Trend lines and regression lines have the same purpose of illustrating relationships and patterns in data. The terms can be used interchangeably.
The other options are incorrect:
• A regression line and trend line are not opposite terms.
• A trend line does not represent only smallest or largest data points.
• It represents the overall trend across the range of data points.
So in summary, option A is the correct statement about trend lines. Let me know if any part of the explanation needs more clarity.