A researcher plots data on a graph to examine the relationship between the number of hours a student studies per week (horizontal axis) and their final exam score (vertical axis). The resulting points on the graph show a general upward trend from left to right. A straight line is drawn through the data to summarize this trend. What is the most accurate interpretation of this line?

An economist is analyzing a scatterplot showing the relationship between a country's annual government spending (horizontal axis) and its annual economic growth rate (vertical axis). The data points are widely dispersed but show a general trend where higher spending is associated with higher growth. Four potential lines are drawn on the scatterplot to summarize this relationship. Which of the following lines is the most appropriate 'best-fit line'?

Interpreting Economic Data Trends

Evaluating a Conclusion from a Best-Fit Line

For a line to be considered a 'best-fit line' on a scatterplot, it must pass through the majority of the individual data points.

Match each term related to summarizing data on a scatterplot with its correct description.

Predicting a Trend Line from Economic Data

Evaluating a Prediction Based on a Best-Fit Line

The Role and Interpretation of a Best-Fit Line in Economic Analysis

An economist creates a scatterplot to analyze the relationship between the number of years of professional experience (horizontal axis) and annual salary in thousands of dollars (vertical axis) for a sample of individuals. A best-fit line is drawn through the data points. The line passes through the point (5 years, $60k) and the point (15 years, $100k). Based on this best-fit line, what is the predicted annual salary for an individual with 10 years of professional experience?