Question

given a scatterplot and trend line, which statements are true? check all that apply.
the trend line must go through at least one of the data points.
the trend line should have roughly the same number of data points on each side of the line.
the trend line must go through the origin.
the trend line represents the correlation between the two variables.
the equation of the trend line shows the relationship between two variables.

Explanation:

• The trend line represents the correlation between the two variables. This is a fundamental concept in scatterplot analysis where the trend line (also known as a line of best fit) is used to show the general relationship between two variables.
• The trend line should have roughly the same number of data points on each side of the line. A good trend line balances the data points around it, minimizing the overall distance of the points from the line.

Answer:

• The trend line represents the correlation between the two variables.
• The trend line should have roughly the same number of data points on each side of the line.