Based on the statements provided, here is an evaluation of their truthfulness regarding the relationship between a person's income and happiness:
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As a person's income goes up, their happiness trends down.
- False: Generally, studies suggest that happiness tends to increase with income, at least to a certain point.
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The slope of the line of best fit could be around m = -1/2000.
- False: A negative slope would imply that happiness decreases as income increases, which is contrary to the typical findings regarding income and happiness.
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The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
- Uncertain: This depends on the specific data being analyzed, as happiness scores at $0 income could vary widely.
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The line of best fit must show the middle score of the data as being on the line.
- False: A line of best fit represents a linear approximation of the data but does not necessarily pass through the median or mean of the dataset.
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The line of best fit should include the lowest and highest scores.
- False: A line of best fit may not intersect all data points, particularly the extremes, as it is intended to show the general trend in the data rather than individual data points.
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There is no correlation between happiness and income.
- False: Generally, there is a positive correlation between income and happiness.
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The line of best fit would have a positive slope representing as income goes up, happiness goes up.
- True: This is typically true based on research showing that higher income is associated with higher levels of reported happiness.
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This is a moderate positive correlation.
- True: Assuming a reasonable dataset, there is often found to be a moderate positive correlation between income and happiness.
Summary of True Statements:
- The line of best fit would have a positive slope representing as income goes up, happiness goes up.
- This is a moderate positive correlation.