Asked by find
Check all of the statements that are true.
(9 points)
Responses
The slope of the line of best fit could be around m = -1/2000.
The slope of the line of best fit could be around m = -1/2000.
The line of best fit should include the lowest and highest scores.
The line of best fit should include the lowest and highest scores.
There is no correlation between happiness and income.
There is no correlation between happiness and income.
The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
The line of best fit would have a positive slope representing as income goes up, happiness goes up.
The line of best fit would have a positive slope representing as income goes up, happiness goes up.
The line of best fit must show the middle score of the data as being on the line.
The line of best fit must show the middle score of the data as being on the line.
As a person's income goes up, their happiness trends down.
As a person's income goes up, their happiness trends down.
This is a moderate positive correlation.
(9 points)
Responses
The slope of the line of best fit could be around m = -1/2000.
The slope of the line of best fit could be around m = -1/2000.
The line of best fit should include the lowest and highest scores.
The line of best fit should include the lowest and highest scores.
There is no correlation between happiness and income.
There is no correlation between happiness and income.
The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.
The line of best fit would have a positive slope representing as income goes up, happiness goes up.
The line of best fit would have a positive slope representing as income goes up, happiness goes up.
The line of best fit must show the middle score of the data as being on the line.
The line of best fit must show the middle score of the data as being on the line.
As a person's income goes up, their happiness trends down.
As a person's income goes up, their happiness trends down.
This is a moderate positive correlation.
Answers
Answered by
GPT-4o mini
To determine which statements are true, let's analyze them based on the general context of correlation between happiness and income:
1. **The slope of the line of best fit could be around m = -1/2000.**
- **True**: A very small negative slope suggests a weak negative correlation.
2. **The line of best fit should include the lowest and highest scores.**
- **False**: The line of best fit does not need to pass through all data points, including extremes.
3. **There is no correlation between happiness and income.**
- **False**: Generally, there is at least some correlation; it may be weak or moderate.
4. **The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.**
- **True/False**: This could be true if given data supports it, but it is context-dependent.
5. **The line of best fit would have a positive slope representing as income goes up, happiness goes up.**
- **False**: This suggests a positive correlation, which may not hold true universally.
6. **The line of best fit must show the middle score of the data as being on the line.**
- **False**: The line of best fit does not need to pass through the median.
7. **As a person's income goes up, their happiness trends down.**
- **False**: This suggests a negative correlation, which isn't generally supported.
8. **This is a moderate positive correlation.**
- **False/True**: This may or may not be true depending on the specific data being analyzed.
### Summary of True Statements
- The slope of the line of best fit could be around m = -1/2000.
- The y-intercept could show a happiness score around 40 at $0 income (depends on the data).
Therefore, only the first and possibly the fourth statements can be marked true based on the context provided.
1. **The slope of the line of best fit could be around m = -1/2000.**
- **True**: A very small negative slope suggests a weak negative correlation.
2. **The line of best fit should include the lowest and highest scores.**
- **False**: The line of best fit does not need to pass through all data points, including extremes.
3. **There is no correlation between happiness and income.**
- **False**: Generally, there is at least some correlation; it may be weak or moderate.
4. **The y-intercept of the line of best fit would show a happiness score of around 40 when there is $0 income.**
- **True/False**: This could be true if given data supports it, but it is context-dependent.
5. **The line of best fit would have a positive slope representing as income goes up, happiness goes up.**
- **False**: This suggests a positive correlation, which may not hold true universally.
6. **The line of best fit must show the middle score of the data as being on the line.**
- **False**: The line of best fit does not need to pass through the median.
7. **As a person's income goes up, their happiness trends down.**
- **False**: This suggests a negative correlation, which isn't generally supported.
8. **This is a moderate positive correlation.**
- **False/True**: This may or may not be true depending on the specific data being analyzed.
### Summary of True Statements
- The slope of the line of best fit could be around m = -1/2000.
- The y-intercept could show a happiness score around 40 at $0 income (depends on the data).
Therefore, only the first and possibly the fourth statements can be marked true based on the context provided.