In the Multiple Regression Model with Two Explanatory Variables

question 31

Essay

In the multiple regression model with two explanatory variables the OLS estimators for the three parameters are as follows (small letters refer to deviations from means as in zi = Zi - ): You have collected data for 104 countries of the world from the Penn World Tables and want to estimate the effect of the population growth rate ( )and the saving rate ( )(average investment share of GDP from 1980 to 1990)on GDP per worker (relative to the U.S. )in 1990.The various sums needed to calculate the OLS estimates are given below: = 33.33; = 2.025; = 17.313 = 8.3103; = .0122; = 0.6422 = -0.2304; = 1.5676; = -0.0520
(a)What are your expected signs for the regression coefficient? Calculate the coefficients and see if their signs correspond to your intuition.
(b)Find the regression ,and interpret it.What other factors can you think of that might have an influence on productivity?

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Definitions:

Maya Calendar

An ancient system of timekeeping developed by the Maya civilization, remarkable for its complexity and accuracy, including the Long Count calendar.

Agricultural Concerns

Issues affecting the agriculture sector, including sustainability, crop production, animal husbandry, environmental impact, and food security.

Mercantile Pursuits

Activities or endeavors concerned with trade, commerce, and the buying and selling of goods for profit.

High Status

A position of authority, respect, or high social ranking within a society, often associated with wealth, power, or prestige.