Consider the results in Table 5. After running the regression, we test whether thecoefficients of the variables hhsize1 and hhsize2 are equal at 5% significance level.The value of the F-statistic is 26.32. Note that the sample size is 1,593. What is theoutcome of the test? The questions below are based on a dataset containing the characteristics of 5,407households. In particular, we will use the following variables:- size: home size, measured in square feet.- hhinc: annual household net income, measured in euros.- owner. dummy variable equal to 1 if the living space is owned, and 0 if the livingspace is rented.- hhsize1: dummy variable equal to 1 if the number of household's members is 1 or2, and 0 otherwise.hhsize2: dummy variable equal to 1 if the number of household's members is 3 or4, and 0 otherwise.hhsize3: dummy variable equal to 1 if the number of household's members is 5 orabove 5, and 0 otherwise.- edu: education level of household's members.The Appendix contains tables with the critical values of the standard normal distribution andthe F distribution. Table 5. regress size hhinc owner hhsizel hhsizez hhsize3, robust noconstantLinear regressionNunber of obs1,593F(5, 1588)3895.70Prob > F0.0000R-squared0.9255Root MSE353.16RobustsizeCoefficient std. err.tP>|t|(95% conf. interval)hhinc6.80 0.000.00456700067170032495.0058845owner404.7925442.6217hhsizel675.808624.2422227.88 0.00628.2585723.3587hhsize2788.660636.4762821.62717.1138860.2073hhsize)993.660958.6329416.95e.000878.65481108.667

Consider the given table that shows the regression analysis of the data. The value of the…

Consider the results in Table 5. After running the regression, we test whether the coefficients of the variables hhsize1 and hhsize2 are equal at 5% significance level.The value of the F-statistic is 26.32. Note that the sample size is 1,593. What is the outcome of the test?

Consider the results in Table 5. After running the regression, we test whether the coefficients of the variables hhsize1 and hhsize2 are equal at 5% significance level.The value of the F-statistic is 26.32. Note that the sample size is 1,593. What is the outcome of the test?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider the results in Table 5. After running the regression, we test whether the
coefficients of the variables hhsize1 and hhsize2 are equal at 5% significance level.The value of the F-statistic is 26.32. Note that the sample size is 1,593. What is the
outcome of the test?

Table 5
. regress size hhinc owner hhsizel hhsizez hhsize3, robust noconstant
Linear regression
Nunber of obs
1,593
F(5, 1588)
3895.70
Prob > F
0.0000
R-squared
0.9255
Root MSE
353.16
Robust
size
Coefficient std. err.
t
P>|t|
(95% conf. interval)
hhinc
6.80 0.000
.004567
0006717
0032495
.0058845
owner
404.7925
442.6217
hhsizel
675.8086
24.24222
27.88 0.00
628.2585
723.3587
hhsize2
788.6606
36.47628
21.62
717.1138
860.2073
hhsize)
993.6609
58.63294
16.95
e.000
878.6548
1108.667

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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