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 does not have to pass through any data point. So the first statement is false.
• The trend line should balance the data points on either side. So the second statement is true.
• The trend line does not have to pass through the origin. So the third statement is false.
• The trend line shows the correlation (positive, negative, or no correlation) between two variables. So the fourth statement is true.
• The equation of the trend line (like \(y = mx + b\)) shows the relationship between the two variables. So the fifth statement is true.

Answer:

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