4.
Which of the following is true about a trend line for data? (1 point)
The minimum data point always lies on the trend line.
Every data point must lie on the trend line.
The trend line describes the pattern in the data if one exists.
The trend line includes the effect of all outliers in the data.
My answer:
4. The trend line describes the pattern in the data if one exists.
I agree.
thank you!
You're welcome.
To determine the correct answer, let's analyze each option:
1. The minimum data point always lies on the trend line: This statement is not necessarily true. The trend line is calculated based on the overall pattern of the data points, and it may or may not pass through the minimum data point. It depends on the specific data set.
2. Every data point must lie on the trend line: This statement is also not true. The trend line represents an approximation of the overall pattern in the data, so it is not expected to pass exactly through every single data point. There will typically be some deviation from the trend line for individual data points.
3. The trend line describes the pattern in the data if one exists: This statement is correct. The purpose of a trend line is to provide a visual representation of the general trend or pattern in the data. It helps to identify if there is a positive or negative relationship between the variables and can be used to make predictions or analyze trends.
4. The trend line includes the effect of all outliers in the data: This statement is not true. Outliers are data points that deviate significantly from the overall pattern of the data. A trend line is more influenced by the majority of the data points rather than outliers. In some cases, outliers may have a minimal effect on the trend line, while in others, they may have a more substantial impact.
Therefore, the correct answer is: The trend line describes the pattern in the data if one exists.