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Question: What percentage of the variation in percent growth in wealth is explained by the regression in problem?

Problem: An article in the Journal of Monetary Economics assesses the relationship between percentage growth in wealth over a decade and a half of savings for baby boomers of age 40 to 55 with these people's income quartiles. The article presents a table showing five income quartiles, and for each quartile there is a reported percentage growth in wealth. The data are as follows.

Income quartile:                 1              2              3              4               5

Wealth growth (%):          17.3         23.6          40.2          45.8           56.8

Run a simple linear regression of these five pairs of numbers and estimate a linear relationship between income and percentage growth in wealth.

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