Mr. Taylor wanted to study the effect of being absent on student test scores in math class. Mr. Taylor plots the data he collected from his second period class on the graph below.

The scatter plot shows test score percent on the y-axis and days absent on the x-axis. The line of best fit passes through the points (0, 60), (5, 70), (10, 80)

The line of best fit is shown on the graph. Determine if the statements below are true or false.

True False
The line of best fit provides a good estimate of a student's test scores based on the attendance of all students in Mr. Taylor's math classes.

The y-intercept is at approximately (0, 91).

Point C is one outlier because it is far away from the other data points.

1 answer

Let's analyze each statement based on the given description of the scatter plot and line of best fit.

  1. The line of best fit provides a good estimate of a student's test scores based on the attendance of all students in Mr. Taylor's math classes.

    False. The line of best fit is based on data collected from the second period class only, so it may not accurately represent the attendance and test scores of students in other periods or classes.

  2. The y-intercept is at approximately (0, 91).

    False. According to the information provided, the line of best fit passes through the point (0, 60), which means that the y-intercept is approximately 60, not 91.

  3. Point C is one outlier because it is far away from the other data points.

    True. If point C is described as being far away from the other data points in the scatter plot, it would typically be considered an outlier. Outliers are data points that deviate significantly from the trend shown by the other data points.

In summary:

  1. False
  2. False
  3. True