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QUESTION IMAGE

review the graph and respond in the provided text box below to explain …

Question

review the graph and respond in the provided text box below to explain and identify key features from a scatter plot.
determine if the graph is positive or negative?
does the graph have a linear or non - liner trend?
does it contain any outliers? be specific and include values?
what does the graph tell you?
essay 1 point
identify and explain the relationship between the variables from the graph.
average years of education vs salary

Explanation:

Brief Explanations
  • Positive/Negative: As the average years of education increase, the average salary also increases. So, there is a positive relationship.
  • Linear/Non - linear: The data points seem to follow a trend that can be approximated by a straight - line (the orange line). So, it has a linear trend.
  • Outliers: There is an outlier. When the average years of education is around 15 (approximate value from the x - axis), the average salary is much lower than the trend. Let's assume the x - value (average years of education) is \(x = 15\) and the y - value (average salary) is \(y=15000\) (approximate from the graph, actual values may vary depending on exact graph scale).
  • What the graph tells: It implies that, in general, more years of education are associated with higher salaries, but there can be some exceptional cases (the outlier) where this relationship does not hold as strongly.

Answer:

  • Positive relationship.
  • Linear trend.
  • Outlier at (approx) \(x = 15\), \(y = 15000\).
  • More education is generally linked to higher salary, but with exceptions.