(Answered) Question conduct the f test for the existence of a linear

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Question: Conduct the F test for the existence of a linear relationship between the two variables 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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