Based on the information you provided regarding the relationship between happiness and income, here are the statements evaluated for truthfulness:
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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.
- True or False - Depends on the specific data set. This could be true if the data shows that individuals with $0 income have a happiness score around 40.
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This is a moderate positive correlation.
- True or False - If the data suggests that as income increases, happiness also increases, this may be true. However, if there's minimal correlation, this statement would be false.
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There is no correlation between happiness and income.
- True or False - This is false if there is any kind of positive or negative relationship established between the two.
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The slope of the line of best fit could be around m = -1/2000.
- True or False - This is likely false if the correlation is positive. A negative slope suggests that happiness decreases as income increases.
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The line of best fit must show the middle score of the data as being on the line.
- True or False - This is false. The line of best fit represents an average trend but does not need to pass through the median point.
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The line of best fit should include the lowest and highest scores.
- True or False - This is false. The line of best fit is determined by the overall trend of the data points, and may not necessarily pass through the lowest or highest scores.
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The line of best fit would have a positive slope representing as income goes up, happiness goes up.
- True or False - True if a positive correlation exists.
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As a person's income goes up, their happiness trends down.
- True or False - This would be false if there’s a positive correlation. This statement suggests a negative correlation.
Summary of Truthfulness:
- Statement 1: Uncertain - needs specifics about the data
- Statement 2: Possibly True if there's a moderate positive correlation.
- Statement 3: False
- Statement 4: False (if the correlation is positive)
- Statement 5: False
- Statement 6: False
- Statement 7: True if there's a positive correlation.
- Statement 8: False if there's a positive correlation.
You need to evaluate the data you have to determine which of the uncertain statements are actually true.