Scenario 38-3. Consider the following statistical model of workers salaries and years of job tenure, where e; stands for the random error: SALARY = 0 + ẞ1 × YEARS; + ej. Refer to Scenario 38-3. This model is called 20000 a singular regression. a multiple regression. an instrumental regression. a biased regression.
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- Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary=11,681.31+3418.97(Education)+1194.78(Experience) Suppose two employees at the company have been working there for five years. One has a bachelor's degree (8 years of education) and one has a master's degree (10 years of education). How much more money would we expect the employee with a master's degree to make?Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary=10,160.10+3147.75(Education)+1230.34(Experience) Suppose an employee with 8 years of education has been with the company for 20 years (note that education years are the number of years after 8th grade). According to this model, what is his estimated annual salary?8
- 10. Residual analysis Consider a regression of y on several independent variables, and the resulting predicted values of the dependent variable. The residual for the ith observation Consider a data set for a large sample of professional basketball players. Each observation contains the salary, as well as various performance statistics such as points, rebounds, and assists for each player. Suppose a regression of salary on all performance statistics is run, and the residuals are obtained. The player with the lowest (most negative) resid represents which of the following? (Assume the regression reasonably predicts salaries in most cases.) The most fairly paid player relative to her on-court performance The most overpaid player relative to her on-court performance The highest-paid player, regardless of her on-court performance The most underpaid player relative to her on-court performanceUsing data from a random sample of 1000 working adults, we obtain the following estimated regression to study the effect of experience (exper) on log of wage (log(wage)). log(wage) = 5.423 -0.034ezper +0.009ezper² + 0.082educ + 0.157male What other regression do you need to run to test the null hypothesis that, holding other factors fixed, experience has no effect on log(wage)? Explain what test you would perform.Consider the following ANOVA table for a multiple regression model relating housing prices (in thousands of dollars) to the number of bedrooms in the house and the size of the lot on which the house was built (in square feet). There were 77 total observations. Estimated Price = 27,756.55 + 2431.81 (Bedrooms) + 0.2732 (Lot Size) ANOVA df SS MS F Significance F Regression 2 357,061.4229 178,530.7115 21.0765 5.6943E-08 Residual 74 626,824.0170 Total 76 983,885.4399 8470.5948 Compute the adjusted coefficient of determination for this regression model. Round your answer to four decimal places.
- Consider the following ANOVA table for a multiple regression model relating housing prices (in thousands of dollars) to the number of bedrooms in the house and the size of the lot on which the house was built (in square feet). There were 90 total observations. Estimated Price = 24,838.74 + 2339.88 (Bedrooms) + 0.2685 (Lot Size) ANOVA df SS MS F Regression 2 382,993.4921 Residual 87 627,839.9910 Significance F 191,496.7461 26.5358 1.0066E-09 7216.5516 Total 89 1,010,833.4831 Compute the adjusted coefficient of determination for this regression model. Round your answer to four decimal places.please help me answer this questionWhat are the measures of fit that are commonly used for multiple regressions? How can an adjusted R2 take on negative values?
- You are given a sample of 600 working individuals, with data on their location and earnings. You construct the following model: wage=Bo+Binorth+u, where the dependent variable is the annual earnings (wage) in $1,000. The explanatory variable is north (which equals one if a worker lives in the north, and equals zero otherwise). An OLS regression yields B 24.8. B₁ = 2.1. = As we have learned in class, education matters a lot in explaining wages-more years of education lead to higher wages. In the above econometric model, education belongs to the error term, u. We also know that in our population of interest, workers in the north have lower drop-out rates than workers in the south. These facts imply that B₁ is biased and inconsistent because the estimation is subject to omitted variable bias. The correct model should be: wage Bo+Binorth + B₂educ + e, where educ denotes the number of years of education. The OLS estimate of B1 from our incorrect model presented at the beginning of this…Define Interpretation of coefficients in polynomial regression models?Consider the following ANOVA table for a multiple regression model relating housing prices (in thousands of dollars) to the number of bedrooms in the house and the size of the lot on which the house was built (in square feet). There were 89 total observations. Estimated Price = 29,222.81 +2632.18 (Bedrooms) + 0.2883 (Lot Size) ANOVA df SS MS F Significance F Regression 2 301,664.3734 150,832.1867 18.6861 1.8243E-07 Residual 86 694,182.9580 8071.8949 Total 88 995,847.3314 What percent of variation in housing prices is explained by the number of bedrooms and lot size? Round your answer to two decimal places.