In: Economics
Consider the data provided in the table below, which shows years of education and income for ten individuals.
Education | Income(1) | Income(2) |
10 | 15,000 | 15 |
12 | 20,000 | 20 |
12 | 35,000 | 35 |
12 | 40,000 | 40 |
12 | 60,000 | 60 |
16 | 50,000 | 50 |
16 | 60,000 | 60 |
16 | 70,000 | 70 |
18 | 60,000 | 60 |
21 | 80,000 | 80 |
A) Calculate the covariance and correlation of education and income, using the “Income1” column for income, which is measured in dollars.
B) Calculate the covariance and correlation of education and income, this time using the “Income2” column for income, which is measured in thousands of dollars.
C) Based on what you have done, discuss the merits of using covariance and correlation to measure the relationship between two variables.