Q5 a) Demographic data from 126 countries is obtained for the year 2017. It is hypothesizedthat life expectancy (Y) is dependent on number of under five deaths (X2) , polioimmunization coverage (D), Per capita Govt. Exp. on Health Care (X3) (in Rs crores),Per Capita GNI (in Rs crores) (X4) and Average number of years of Schooling (Xs).Polio immunization coverage =1 if yes and 0 otherwise. Following regressions wereestimated:MODEL 1:= 0.903 – 0.561X2¡ + 2.008 X3i + 0.553X4¿ + 0.778 X5i + 3.638 D(0.405)se =(1.280)(0.765)(0.712)(0.491)R? = 0.787RSS = 1339.8MODEL 2:P, = 1.379 + 0.594 X31 + 2.139 Dse =(0.406) (0.465)R? = 0.677RSS = 1567.28i. Is it a time series or a cross sectional dataii. Show model 2 is a restricted version of model 1 and what is the restriction?iii. Test for the statistical significance of the restriction at 5% level.iv. Construct a 95% confidence interval for true per capita government healthexpenditure in model II and check whether it is statistically significant.v. In a CLRM what will be the effect on estimates of slope coefficient and intercept if:Y is multiplied by a constant cX is multiplied by a constant c?

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Description: Q5 a) Demographic data from 126 countries is obtained for the year 2017. It is hypothesizedthat life expectancy (Y) is dependent on number of under five deaths (X2) , polioimmunization coverage (D), Per capita Govt. Exp. on Health Care (X3) (in Rs c

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) Demographic data from 126 countries is obtained for the year 2017. It is hypothesized that life expectancy (Y) is dependent on number of under five deaths (X2), polio immunization coverage (D), Per capita Govt. Exp. on Health Care (X3) (in Rs crores), Per Capita GNI (in Rs crores) (X4) and Average number of years of Schooling (Xs). Polio immunization coverage = 1 if yes and 0 otherwise. Following regressions were %3D estimated:

) Demographic data from 126 countries is obtained for the year 2017. It is hypothesized that life expectancy (Y) is dependent on number of under five deaths (X2), polio immunization coverage (D), Per capita Govt. Exp. on Health Care (X3) (in Rs crores), Per Capita GNI (in Rs crores) (X4) and Average number of years of Schooling (Xs). Polio immunization coverage = 1 if yes and 0 otherwise. Following regressions were %3D estimated:

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Q5 a) Demographic data from 126 countries is obtained for the year 2017. It is hypothesized
that life expectancy (Y) is dependent on number of under five deaths (X2) , polio
immunization coverage (D), Per capita Govt. Exp. on Health Care (X3) (in Rs crores),
Per Capita GNI (in Rs crores) (X4) and Average number of years of Schooling (Xs).
Polio immunization coverage =1 if yes and 0 otherwise. Following regressions were
estimated:
MODEL 1:
= 0.903 – 0.561X2¡ + 2.008 X3i + 0.553X4¿ + 0.778 X5i + 3.638 D
(0.405)
se =
(1.280)
(0.765)
(0.712)
(0.491)
R? = 0.787
RSS = 1339.8
MODEL 2:
P, = 1.379 + 0.594 X31 + 2.139 D
se =
(0.406) (0.465)
R? = 0.677
RSS = 1567.28
i. Is it a time series or a cross sectional data
ii. Show model 2 is a restricted version of model 1 and what is the restriction?
iii. Test for the statistical significance of the restriction at 5% level.
iv. Construct a 95% confidence interval for true per capita government health
expenditure in model II and check whether it is statistically significant.
v. In a CLRM what will be the effect on estimates of slope coefficient and intercept if:
Y is multiplied by a constant c
X is multiplied by a constant c?

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