In the Multiple Regression Model with Two Explanatory Variables

question 42

Essay

In the multiple regression model with two explanatory variables
Yi = β0 + β1X1i + β2X2i + ui
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 (X1i)and the saving rate (X2i)(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
The heteroskedasticity-robust standard errors of the two slope coefficients are 1.99 (for population growth)and 0.23 (for the saving rate).Calculate the 95% confidence interval for both coefficients.How many standard deviations are the coefficients away from zero?

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Definitions:

Cell-mediated Immune Response

The branch of the immune response that involves the activation of T-cells and the direct destruction of infected cells.

T cells

A type of lymphocyte developed in the thymus, crucial for the adaptive immune response, playing roles in cell-mediated immunity and the activation of other immune cells.

Opsonization

The process where pathogens are marked for destruction by immune cells through the binding of antibodies or complement proteins.

Phagocytosis

The process by which a cell engulfs particles such as bacteria or cellular debris to digest them.