(Continuation from Chapter 4, Number 5)You Have Learned in One $\widehat {\\text { RelPersInc }}$

question 40

Essay

(Continuation from Chapter 4, number 5)You have learned in one of your economics courses that one of the determinants of per capita income (the "Wealth of Nations")is the population growth rate. Furthermore you also found out that the Penn World Tables contain income and population data for 104 countries of the world. To test this theory, you regress the GDP per worker (relative to the United States)in 1990 (RelPersInc)on the difference between the average population growth rate of that country (n)to the U.S. average population growth rate (n_us )for the years 1980 to 1990. This results in the following regression output: $\widehat {\\text { RelPersInc }}$ = 0.518 - 18.831×(n - n_us), R²=0.522, SER = 0.197
(0.056)(3.177)
(a)Is there any reason to believe that the variance of the error terms is homoskedastic?
(b)Is the relationship statistically significant?

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Definitions:

Root Hair

Tiny outgrowths from a root's surface, increasing the root's surface area for more efficient absorption of water and nutrients from the soil.

Swollen Region

A physically larger or expanded area, typically due to inflammation, fluid retention, or growth processes within biological contexts.

Stomata

Tiny openings or pores in plant tissue that allow for gas exchange.

Openings

Natural or artificial apertures or cavities that provide access or passage in biological and structural contexts.