is the line shown on the scatter plot a good line of fit for the given data?\nyes, because the line is close…

is the line shown on the scatter plot a good line of fit for the given data?\nyes, because the line is close to most of the points, excluding the outlier.\nyes, because the line models a positive association.\nno, because the data do not show a linear association.\nno, because the line does not pass through any of the data points.

is the line shown on the scatter plot a good line of fit for the given data?\nyes, because the line is close to most of the points, excluding the outlier.\nyes, because the line models a positive association.\nno, because the data do not show a linear association.\nno, because the line does not pass through any of the data points.

Answer

Explanation:

Step 1: Analyze the scatter plot trend

The line has a negative slope, and most points (excluding the outlier at the top right) are close to the line, indicating a linear trend.

Step 2: Evaluate each option

  • Option A: Correct. The line fits most points, ignoring the outlier.
  • Option B: Incorrect. The line shows a negative, not positive, association.
  • Option C: Incorrect. Data shows a linear trend despite the outlier.
  • Option D: Incorrect. A line of fit doesn’t need to pass through data points.

Answer:

A. Yes, because the line is close to most of the points, excluding the outlier.