Scatter graphs

    Cards (31)

    • What is a scatter graph also known as?
      Scatter plot
    • What does a scatter graph show?
      The relationship between two variables
    • What is the purpose of a scatter graph?
      To identify correlations or patterns
    • What are the key elements of a scatter graph?
      • Axes (X-axis and Y-axis)
      • Points representing data pairs
      • Appropriate scale on both axes
      • Clear title indicating data representation
    • What does the X-axis represent in a scatter graph?
      Independent variable
    • What does the Y-axis represent in a scatter graph?
      Dependent variable
    • What does each point on a scatter graph represent?
      A data pair (x, y)
    • Why is the scale on both axes important in a scatter graph?
      It must be appropriate for the data range
    • What should you always give a scatter graph?
      A clear title
    • What is positive correlation in a scatter graph?
      Both variables increase together
    • What is negative correlation in a scatter graph?
      One variable increases while the other decreases
    • What does no correlation mean in a scatter graph?
      No discernible pattern between variables
    • What is perfect correlation in a scatter graph?
      A straight line with consistent increases/decreases
    • How do you interpret a scatter graph?
      • Identify the overall trend (upward, downward, or none)
      • Look for outliers that may indicate anomalies
      • Draw a line of best fit to represent data
    • What should you look for when identifying trends in a scatter graph?
      The overall direction of the points
    • What are outliers in a scatter graph?
      Points far from the general pattern
    • What is the line of best fit?
      A line that best represents the data pattern
    • How can the line of best fit be used?
      To predict values and calculate correlation
    • What does the slope of the line indicate in a scatter graph?
      The direction of correlation (positive or negative)
    • What is the equation of the line of best fit?
      y=y =mx+ mx +c c
    • What do the variables m and c represent in the line equation?
      m is slope, c is y-intercept
    • How can you use the line of best fit?
      To estimate values for unplotted variables
    • What is the correlation coefficient (r)?
      A measure of relationship strength and direction
    • What is the range of the correlation coefficient?
      -1 to +1
    • What does r = 1 indicate?
      Perfect positive correlation
    • What does r = -1 indicate?
      Perfect negative correlation
    • What does r = 0 indicate?
      No correlation
    • How is the correlation coefficient calculated?
      Using a formula or statistical tools
    • What practical tips should you consider when analyzing scatter graphs?
      • Check for clusters of points
      • Look for outliers that may indicate errors
      • Be cautious of causation; correlation does not imply causation
    • What are common mistakes to avoid when interpreting scatter graphs?
      • Misinterpretation of no correlation
      • Overfitting the line of best fit
    • What practice problems can help with scatter graphs?
      • Drawing scatter graphs
      • Identifying correlation
      • Calculating the line of best fit
      • Understanding the correlation coefficient