(2). We would like to do a F test of goodness of fit for the whole equation. Please demonstrateyour answer. (Note: at 5% significance level, the critical value of F statistic is: F(4,180)=2.42,F(4,181)=2.43, and F(5,180)=2.26)(3) How to test whether there isa gender differentiation in the impact ofearnsie and ageie on contrib;ie at the same time ? Specifically, (i) Please write out thenew model you would like to estimate. (ii) Please write out the null hypothesis. (iii) Pleasewrite out the test statistic (Hint: The goal of this question is to examine interactive term andF test relating to groups of explanatory variables) 6. Government initiated a new pension program, in which employees are allowed todetermine his/her annual pension contribution ratio. To investigate what factors will affectthe decision on contribution ratio, researcher surveyed 185 employees coming from 10 firmsand set up the following regression model.contrib, = Bo + Bearns, + B,age, + Bmale + B,mrate, + ue(1)Where, i denotes firm; e denotes employee; contrib, denotes firmi employee e'sannual pension contribution ratio; earns denotes the employee's annual income;age denotes the age of employee e;male is a dummy variable, with value of 1 if theemployee is male, 0 otherwise; mrate, denotes the pension contribution ratio made by firmi; u denotes the disturbance term. This model is satisfying the six assumptions for classiclinear regression model. OLS estimation results are reported as follows (standard errors arereported in the parentheses) :contrib,e = 0. 12 + 0.24earnsie + 1.2ageie - 2.46maleie + 0.66mrate;(0.06) (0.06)(0.31)(0.50)(0.12)R2 = 0.40 n = 185

Answered: ow to test whether there is a gender…

ow to test whether there is a gender differentiatio and agete on contribie at the same time ? Specifically, odel you would like to estimate. (ii) Please write out the nul

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

(2). We would like to do a F test of goodness of fit for the whole equation. Please demonstrate
your answer. (Note: at 5% significance level, the critical value of F statistic is: F(4,180)=2.42,
F(4,181)=2.43, and F(5,180)=2.26)
(3) How to test whether there is
a gender differentiation in the impact of
earnsie and ageie on contrib;ie at the same time ? Specifically, (i) Please write out the
new model you would like to estimate. (ii) Please write out the null hypothesis. (iii) Please
write out the test statistic (Hint: The goal of this question is to examine interactive term and
F test relating to groups of explanatory variables)

6. Government initiated a new pension program, in which employees are allowed to
determine his/her annual pension contribution ratio. To investigate what factors will affect
the decision on contribution ratio, researcher surveyed 185 employees coming from 10 firms
and set up the following regression model.
contrib, = Bo + Bearns, + B,age, + Bmale + B,mrate, + ue
(1)
Where, i denotes firm; e denotes employee; contrib, denotes firmi employee e's
annual pension contribution ratio; earns denotes the employee's annual income;
age denotes the age of employee e;male is a dummy variable, with value of 1 if the
employee is male, 0 otherwise; mrate, denotes the pension contribution ratio made by firm
i; u denotes the disturbance term. This model is satisfying the six assumptions for classic
linear regression model. OLS estimation results are reported as follows (standard errors are
reported in the parentheses) :
contrib,e = 0. 12 + 0.24earnsie + 1.2ageie - 2.46maleie + 0.66mrate;
(0.06) (0.06)
(0.31)
(0.50)
(0.12)
R2 = 0.40 n = 185

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