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An economics student wants to find out whether the length of time people spend in education affects how much they earn - Leaving Cert Mathematics - Question f - 2012
Question f
An economics student wants to find out whether the length of time people spend in education affects how much they earn. She asks twelve adults to state their annual ... show full transcript
Worked Solution & Example Answer:An economics student wants to find out whether the length of time people spend in education affects how much they earn - Leaving Cert Mathematics - Question f - 2012
Step 1
Insert the last three rows of data into the scatter plot
Answer
The last three rows of data are:
- 17 years of education, £55,000
- 18 years of education, £40,000
- 19 years of education, £58,000
Inserting these points into the scatter plot will require placing them at the coordinates (17, 55), (18, 40), and (19, 58), respectively.
Step 2
What can you conclude from the scatter plot?
Answer
The scatter plot shows a positive correlation between the years spent in education and annual income. As the number of years of education increases, the annual income tends to increase as well. This suggests that individuals with more years of education may earn higher incomes.
Step 3
Give one possible problem that might make the results of the investigation unreliable.
Answer
One possible issue is that the sample for the survey may not be representative of the entire population. Since the student used a telephone directory, individuals without a landline or those who were not available during the call times were excluded. This could lead to a bias in the data, affecting the reliability of the conclusions drawn about the relationship between education and income.