A survey was conducted by a researcher to study the impact of per capita gross national product (GNP, measured in thousand dollars), female literacy rate (FemLit, number of literate females as a percentage of the total female population, expressed in percentage terms - e.g., 10% expressed as 10) on infant mortality rate (IMR, number of deaths per 1,000 live births of children under one year of age, expressed in logarithmic terms). Data across 150 countries were collected and the following regression was estimated: IMR = 14.83-0.85FemLit -0.97 GNP-0.72FemLitx GNP, R² = 0.545. (1.23) (1.64) (3.45) (0.34) The standard errors are given in parentheses. The researcher wants to check if the effect of a unit increase in FemLit and GNP, above and beyond the sum of the effects of a unit increase in FemLit alone and a unit increase in GNP alone is significant or not. The t-statistic of the test the researcher wants to conduct keeping other variables constant will be. (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) At the 5% significance level, the researcher should the hypothesis that the effect on IMR of FemLit does not significantly depend on GNP. Suppose the researcher does not include the interaction term GNP X FemLit into the regression equation. He finds that all the estimated regression coefficients remain the same as in the previous case. Suppose the values of GNP and FemLit are $5.60 thousand and 65%, respectively. The effect on IMR of an increase in GNP by $1,000 in this case would be ▼than the effect on IMR of this increase when the interaction term was included in the regression by (Round your answer to two decimal places.)
A survey was conducted by a researcher to study the impact of per capita gross national product (GNP, measured in thousand dollars), female literacy rate (FemLit, number of literate females as a percentage of the total female population, expressed in percentage terms - e.g., 10% expressed as 10) on infant mortality rate (IMR, number of deaths per 1,000 live births of children under one year of age, expressed in logarithmic terms). Data across 150 countries were collected and the following regression was estimated: IMR = 14.83-0.85FemLit -0.97 GNP-0.72FemLitx GNP, R² = 0.545. (1.23) (1.64) (3.45) (0.34) The standard errors are given in parentheses. The researcher wants to check if the effect of a unit increase in FemLit and GNP, above and beyond the sum of the effects of a unit increase in FemLit alone and a unit increase in GNP alone is significant or not. The t-statistic of the test the researcher wants to conduct keeping other variables constant will be. (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) At the 5% significance level, the researcher should the hypothesis that the effect on IMR of FemLit does not significantly depend on GNP. Suppose the researcher does not include the interaction term GNP X FemLit into the regression equation. He finds that all the estimated regression coefficients remain the same as in the previous case. Suppose the values of GNP and FemLit are $5.60 thousand and 65%, respectively. The effect on IMR of an increase in GNP by $1,000 in this case would be ▼than the effect on IMR of this increase when the interaction term was included in the regression by (Round your answer to two decimal places.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Transcribed Image Text:A survey was conducted by a researcher to study the impact of per capita gross national product (GNP, measured in thousand dollars), female literacy rate (FemLit, number of literate females as a percentage of the total female
population, expressed in percentage terms - e.g., 10% expressed as 10) on infant mortality (IMR, number of deaths per 1,000 live births of children under one year of age, expressed in logarithmic terms). Data across 150
countries were collected and the following regression was estimated:
IMR = 14.83-0.85FemLit -0.97 GNP-0.72FemLitx GNP, R² = 0.545.
(1.23) (1.64)
(3.45)
(0.34)
The standard errors are given in parentheses. The researcher wants to check if the effect of a unit increase in FemLit and GNP, above and beyond the sum of the effects of a unit increase in FemLit alone and a unit increase in
GNP alone is significant or not.
The t-statistic of the test the researcher wants to conduct keeping other variables constant will be.
(Round your answer to two decimal places. Enter a minus sign if your answer
negative.)
At the 5% significance level, the researcher should
the hypothesis that the effect on IMR of FemLit does not significantly depend on GNP.
Suppose the researcher does not include the interaction term GNPx FemLit into the regression equation. He finds that all the estimated regression coefficients remain the same as in the previous case.
Suppose the values of GNP and FemLit are $5.60 thousand and 65%, respectively.
The effect on IMR of an increase in GNP by $1,000 in this case would be
than the effect on IMR of this increase when the interaction term was included in the regression by
(Round your answer to two decimal places.)
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