6. Assume we draw a random sample (ri, yi) :i = 1,.., N from a certain population and estimate the following linear model via OLS: b4jalF: y = Bo + B1r1 + u OLS? Which not? Why? (i) E[û\r1] = 0 %3D hold by construction of (ii) E[r1û] = 0 (iii) E[û] = 0 %3D %3D alF: id:KaAEftb4jalF:
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- 10 Suppose that in a particular state a standardized test is given to all graduating se- niors. Let score denote a student's score on the test. Someone discovers that perfor- mance on the test is related to the size of the student's graduating high school class. The relationship is quadratic: score = 45.6+ .082 class .000147 class², where class is the number of students in the graduating class. (i) How do you literally interpret the value 45.6 in the equation? By itself, is it of much interest? Explain. (ii) From the equation, what is the optimal size of the graduating class (the size that maximizes the test score)? (Round your answer to the nearest integer.) What is the highest achievable test score? (iii) Sketch a graph that illustrates your solution in part (ii). (iv) Does it seem likely that score and class would have a deterministic relationship? That is, is it realistic to think that once you know the size of a student's graduating class you know, with certainty, his or her test…%19 1₁. 1₁. № Question * 15 Per Capita Alcohol Consumption (liters) AFrance Denmark reland Australia SwedenA UK Car USA Japan Germany Switzerland Belgium Which of the following statement is true? *Norway At follow up 0 200 400 600 800 1000 1200 CHD Death Rates: Males 55-64 years old *Finland This is a negative correlation of per capita alcohol consumption to death rates from coronary heart disease (CHD) This is an ecological study correlated different countries to per capita alcohol consumption The alcohol consumption is a risk factor for coronary heart disease (CHD) This is a positive correlation of per capita alcohol consumption to death rates from coronary heart disease (CHD) When conducting a cohort study, exposure is measured After the outcome was measured At the start of the study None of the other options are correct ۸:۰۲a) Figure 1 reports a scatter plot of hhinc (horizontal axis) and size (vertical axis). Do you see any correlation in the data? Can you conclude that a higher net income causes a higher home size? 300000 nhine 100000 200000 400000 Figure 1 000s COOP D001
- 18. Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Breweryemployee William Gosset, who first developed the t distribution), he recorded the ages of randomlyselected passenger cars and randomly selected taxis. The ages can be found from thelicense plates. (There is no end to the fun of traveling with the author.) The ages (in years) arelisted below. We might expect that taxis would be newer, so test the claim that the mean age ofcars is greater than the mean age of taxis.10 10Can you Do it fast. Please do not post which is already there on chegg need only fnrn format if not answer be devoted 10:-Certainly, it was a A)............ economy with the B).................... of the working population C).................... on the primary sector for occupationPls help with below homework-) Which are the three methods to handle the panel data model with fixed effects ? Also explain each method
- □ Regression through the origin Occasionally, one wants to impose that the predicted 9 is zero when all the jare zero. This means the intercept should be set to zero: ỹ = B₁x₁ + B₂x2 + - ... + Bkxk Prove when the population intercept is not zero all of the slope coefficients are biased.A justification for job training programs is that they improve worker productivity. Suppose that you are asked to evaluate whethe r more job training makes workers more productive. However, rather than having data on individual workers, you have access to data on manufacturing firms in Ohio. In particular, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output).(iv) If you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? Explain.A bag contains 12 yellow balls of 400 grams each and 18 blue balls of 700 grams each. Some yellow and some blue balls are taken from this bag and thrown into a second empty bag. At the end of this process; The average of the weights of the balls in the first bag was 500 grams, and the average of the weights of the balls in the second bag was 600 grams. What is the number of blue balls thrown into the second bag? A) 16 B) 14 C) 12 D) 10 E) 8
- Researchers were interested in collecting data to examine whether there was a relationship between air pollutant and preterm births in SouthernCalifornia. During the study, air pollution levels were measured by air quality monitoring stations. Length of gestation (weeks of pregnancy) data were collected on 143,196 births between1989 and 1993, and air pollution exposure during gestation was calculated for each birth. 1. Do you think "air pollution levels" are numerical or categorical variables? Give an example of what this data might look like. 2.Can the results of this study be used to establisha causal relationship between airpollution and preterm births? Why or why not? 3.Do you think the results of this study can be generalizedto the population? Why or whynot?Y = AK1/3L2/3; Y = 30, K = 10, L = 20. The TPF is A. 1.89 B. 0.89 C. 1.27 D. 1.05Y=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 (---------) (-------------)