Question
The following equation models a linear relationship of a worker's hourly remuneration (Wage in dollars) with her or his education (Educ in years), work experience
The following equation models a linear relationship of a worker's hourly remuneration (Wage in dollars) with her or his education (Educ in years), work experience (Exper in years) and tenure with the current employer (Tenur in years):
Wage = 0 + 1Educ + 2Exper + 3Tenur + with~N(0, some constant)
Answer the following questions by selecting the best option from the drop down menu or typing your answer in the box next to the question.
You may use Excel for calculation in answering the questions below.
Provide your numerical answers after rounding them to 3 digits after the decimal point. (Round up if the fourth digit is 5 or larger, down if it is 4 or smaller, e.g. type 1.783 if your calculation results in 1.7832, type 0.039 if it results in 0.0387, type 0.101 if it results in 0.1006, etc.) However, in order to obtain accurate final answers, do not round numbers during your calculation. If your answer is an integer, just type it, e.g. type 12 if your answer is 12.
The following table has been obtained by regressing Wage on the three exogenous variables. Several statistics are deliberately missing in the table. Obtain and type them in the relevant boxes provided.
Regression statistics Descriptive statistics for error
Multiple R 0.618 Skewness (S) 1.170
R2 0.382 Kurtosis (K) 4.830
Adjusted R2 Answer
Jarque-Berra (JB) Answer
S.E. Answer
Observations 65
ANOVA
df SS MS F stat F=.05, Reg. df, Error df
Regression Answer
507.720 169.240 Answer
Answer
Error Answer
Answer
13.471
Total 64 1329.448
Regression results
Coefficient S.E. t stat p-value 95% conf. int. lower limit 95% conf. int. upper limit
Intercept 6.700 2.701 2.481 0.016 1.299 12.101
Educ 4.899 2.189 2.238 0.029 0.522 9.276
Exper 2.500 1.146 Answer
Answer
0.208 4.792
Tenur 1.975 1.345 1.468 0.147 Answer
Answer
The p-values for the 4 estimated coefficients imply that Answer
.
The computed F statistic and the upper-5% critical value imply that, at the 5% level of significance, we can reject the null hypothesis that the regression model can Answer
.
The adjusted R2 implies that the regression model can Answer
very well. Together with the p-values for the 4 estimated coefficients, the difference between the R2 and adjusted R2 implies that the regression model might Answer
.
The estimated 1 implies that Answer
The 95% confidence interval estimate for the parameter 2 implies that Answer
, holding the worker's education and workplace tenure constant.
The JB statistic implies that errors are Answer
, which Answer
the validity of the regression analysis.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started