Which of the following is true about a trend line for data?

A. The minimum data point always lies on the trend line.
B. Every data point must lie on the trend line.
C. The trend line describes the pattern in the data if one exits.
D. The trend line includes the effect of all outliers in the data.
Is the answer C?
Thank you

Correct.

Yes, the correct answer is C. The trend line describes the pattern in the data if one exists. In order to arrive at this answer, we can eliminate the other options through logical reasoning and understanding of what a trend line represents.

A. The minimum data point always lies on the trend line: This statement is not true. The trend line does not necessarily pass through the minimum data point. Depending on the distribution of data, the trend line may be above or below the minimum data point.

B. Every data point must lie on the trend line: This statement is not true either. The trend line is an estimation or approximation of the pattern in the data, so it is not expected for every individual data point to fall exactly on the trend line.

D. The trend line includes the effect of all outliers in the data: This statement is also not true. Outliers are data points that deviate from the general trend or pattern in the data. Depending on the method used to calculate the trend line, outliers may or may not have a significant impact on its positioning.

Therefore, we can conclude that the correct answer is C. The trend line describes the pattern in the data if one exists.