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- 1. Obtain a formulation for the coefficient of determination. 2. Which assumptions are needed to obtain unbiased estimations of Po and P₁.Question 19 An economist wants to estimate the relationship between earnings (in thousands of dollars) and years of education. She estimates the model Earnings BO+B1 *Education + E. The following is a portion of her results. Coefficient Standard Error Intercept 15.77 Education 4.21 Which of the following is true? 3.8 1.4 p-value 0.003 0.032 O If education is increased by one year, we predict that earnings will increase by $4,210. O If earnings are increased by $1000, we predict that education will increase by 21 O If education is increased by one year, we predict that earnings will increase by $3200. O If earnings are increased by $1000, we predict that education will increase by .032 years,wages = B1 + B2educ + ßzexper + e where wages denotes hourly wages. We estimate the regression in R and obtain the output ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 2.0 1.0 2 0.0455 * ## educ 0.5 0.5 1 0.3173 ## exper 2.0 0.5 4 6.33e-05 *** ## --- ## Signif. codes: ****' 0. 001 '**' 0.01 **' 0.05 ' 0.1 ' ' 1 Build a 90% confidence interval for B3 using a normal approximation. (Use that if Z ~ N(0, 1) and z1-a satisfies P(Z > z1-a) = a, then zo9 = 1.28, zo95 = 1.64, Z0.975 = 1.96, zo.99 = 2.33, and z0.995 = 2.58). Oa. [2 – 1.64 x (0.5), 2 + 1.64 x (0.5)] O b. [2 – 1.28 × (0.5), 2 + 1.28 x (0.5)] c. [2 – 1.28 x (0.5)², 2 + 1.28 × (0.5)²] O d. [2 – 1.64 × (0.5)², 2 + 1.64 × (0.5)²] O e. [2 – 1.96 × (0.5)², 2 + 1.96 × (0.5)²] O f. [2 – 1.96 × (0.5), 2 + 1.96 × (0.5)]
- How should be the following given be treated while estimating national income (1) bonus paid to employeesGNP: PLUSES AND MINUSES The gross national product in recent years has basked in the warm glow of nearly universal praise. Econo mists, quite naturally, have been freest with the encomiums. Where else but the GNP could they get in one tidy number a measure of the growth in the mammoth U.S. economy. Businessmen, though not entirely persuaded of the value of statistics, especially esoteric statistics, nevertheless have been known to quote the GNP—possibly because of its powers to impress audiences with the speaker's grasp of the "big picture." Politicians, too, have been extravagant in their admiration of GNP, most especially when it was rising at a brisk pace. Even the ubiquitous cocktail party has paid homage to the GNP as assorted junior executives, research assistants, housewives, and dancing instructors have pronounced on the latest GNP numbers with a solemn and knowing air. Now all that seems to be changing. GNP increasingly is coming under attack. Dr. Arthur F.…We have estimated the impact of gross domestic product (GDP), energy consumption (ENERGY) and population (POP) on CO2 emiisions (CO2) in Cyprus. The results are as follows, Dependent Variable: CO2 Method: Least Squares Date: 04/20/17 Time: 09.46 Sample: 1990 2013 Included observations: 24 Variable Coefficient Std. Error t-Statistic Prob. GDP ENERGY POP 2.002813 0.022114 -0.734352 0.203927 6.458672 0.011872 0.328388 0.293686 0,310097 1.862670 -2.236233 0.694371 0.7597 0.0773 0,0369 0.4954 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic Prob(F-statistic) 0.825079 Mean dependentyar 0.798841 0.048515 Akaike info criterion 0.047074 Schwarz criterion 40.75460 Hannan-Quinn.criter. 31.44583 Durbin-Wats on stat 0.000000 3.625982 0.108170 -3.062883 -2.866541 -3.010793 1.410912 S.D. dependent yar a Write down the economie function for the above estimation by using the information obtained from above table| b- Write down the economic model for the above…
- 2. The following model allows the return to education to depend upon the total amount of both parents' education, called pareduc: log(wage) = Bo + Bieduc + Bzeduc * pareduc + Bzerper + Batenure + u (a) What sign do you expect for B2? Why? (b) Using the data in WAGE2.RAW, the estimated equation is log(wage) = 5.65 + 0.047educ + 0.00078educ * pareduc + 0.019erper + 0.010tenure, (0.13) (0.010) (0.00021) (0.004) (0.003)If the t-statistic for a variable is -1.74, is the variable statistically significant? O No O YesCandy is a Year 4 full-time undergraduate student majoring in marketing at a private university inHong Kong and she is going to be graduated after the summer break. She has collected some datafrom the Student Careers and Affairs Office (SCAO) related to her job planning.According to the graduate employment surveys conducted for the last two years by the privateuniversity, the average salary earned by the graduates of her programme is constant at around$14,000. Actually, Candy is quite disappointed.In view of this, Candy is considering to participate in an one-year internship program launched by theSCAO after her graduation. In other words, she would enter the job market “formally” one year laterif she joins the internship program. Finally, with the help of the SCAO, she could get an internshipoffer from a famous marketing company in Hong Kong. The monthly salary provided by the companyis $12,000 while a good reference letter would be prepared for the interns completing the…
- Imagine that you were told that the t-statistic for the slope coefficient of the regression line Test Score = 698.9-2.28 x STR was 4.38. What are the units of measurement for the t-statistic? OA. Number of students per teacher. O B. Points of the test score. O C. Standard deviations. OD. Test Score STRUse the following STATA output to test whether the variable wgt is significant at 5% level: Source | SS df Number of obs = EC 3. Prob > F R-squared MS 392 300.76 0.0000 0.6993 Adj R-squared anba6970 4.2965 388) = Model Juu16656.4443 Residual 162,54916 5552.1481 388 18.4601782 Total Juu23818.9935 391 60.9181419 Root MSE Coef. Std. Err. P>It| [95% Conf. Interval] syl ena wat .2677968 -.012674 -.0057079 44.37096 .4130673 .0082501 .0007139 1.480685 -0.65 -1.54 -8.00 29.97 0.517 0.125 0.000 0.000 -1.079927 -.0288944 -.0071115 41.45979 .5443336 0035465 .0043043 47.28213 _cons The variable is not significant because p-value is less than 0.05. The variable is significant because p-value is less than 0.05. The variable is significant because p-value is less than 0.1. The variable is not significant because p-value is greater than 0.05Y=16.8-3.9x (3.8) (1.2) The numbers 16.8 and -3.9 are the realized values for the intercept and slope (respectively) of the regression equation describing the sample, which are consistent estimators for what population parameters? The intercept and slope (respectively) of the sample determining function. The intercept and slope (respectively) of the regression equation that best fits the population. Instructions: Enter your responses rounded to three decimal places. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers: provide a 99% confidence interval for each estimator's corresponding population parameter Intercept (----------) (----------) Slope (---------) (-------------)