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- Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is from this study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studen th = 19.6 + 0.73 × Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. Interpret the estimated slope coefficient and intercept coefficient. What is the meaning of the regression R2 ? What is the prediction for the height of a child whose parents have an average height of 70.06 inches? a. b. с. d. What is the interpretation of the SER here? Is the slope coefficient statistically significantly different from zero (at the 5% significance level)? e.Question 9 5 pts For a multiple regression model, SSR = 555 and SSE = 661. What is the multiple coefficient of determination? (Enter the number below.)I estimate a multiple linear regression model with three explanatory variables and a sample size of 363 observations. The RSS of this model is 0.428217, the adjusted R squared is 0.453103. When I regress the depended variable on a constant only, I find that the RSS of this simple model is 0.789537 The value of the realized F stat for the test on the significance of the regression is: Select one: Ⓒa. 100.9721 and the null is that all betas except the intercept are simultaneously equal to zero O b. 145.056123 and the null is that the model is in the overall significant for the population statistically at 1% significance level 145.056123 and the null is that all betas are simultaneously equal to zero Gm. My Moodle O c. O d. 145.056123 and the null is that all betas except the interecpt are simultaneously equal to zero O e. 100.9721 and the null is that all betas are simultaneously equal to zero Clear my choice
- This exercise refers to the drunk driving panel data regression, summarizedin Regression analysis of Drunk Driving (see attachment)a. New Jersey has a population of 8.85 million people. Suppose that NewJersey increased the tax on a case of beer by $2 (in 1988 dollars). Use theresults in column (5) to predict the number of lives that would be savedover the next year. Construct a 99% confidence interval for your answer. b. The drinking age in New Jersey is 21. Suppose that New Jersey loweredits drinking age to 19. Use the results in column (5) to predict the changein the number of traffic fatalities in the next year. Construct a 95% confidence interval for your answer.c. Suppose that real income per capita in New Jersey increases by 3% inthe next year. Use the results in column (6) to predict the change in thenumber of traffic fatalities in the next year. Construct a 95% confidenceinterval for your answer.d. How should standard errors be clustered in the regressions in columns(2) through…In which of the following cases OLS estimation of Healthcare=a+bAge+u will be biased? a) Only include in your estimation sample individuals whose health care spending is more than 500 per year. b) Use a random sample. c) Healthcare is recorded with some random typing errors. d) The error variance is larger at an older age.Test whether the slope coefficient in both Model is statistically significant at 10% significance level.
- Q.3. A random sample of ten families had the following income and food expenditure Families A B C D E F G H I J Income 18 28 31 38 15 13 24 36 33 40 Food Expenditure 7 10 8 10 6 4 7 10 9 10 Estimate the regression line of food expenditure on income.Suppose that a study at UCR found the following regression model: 1. If the R-square (R2) = 0.4 and the sample size N = 11. Furthermore, suppose that the number of independent variables K = 2. Find the adjusted R-square? 2. If you know that R-square exceeds the adjusted R-square by 0.10 (i.e. Adjusted R2 = R2 - 0.10). Given a sample size of 21 observations (N=21) and 4 independent variables ( K=4), find both R-square and adjusted R-square?In a regression analysis, if SSE = 600 and SSR = 200, find the coefficient of determination. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 0.250 0.500 0.600 0.750 P.
- You use a dataset with 538 observations to run a simple linear regression. You find that the coefficient estimate is 3.258 and that the standard error of the coefficient estimate is 1.794. What is the lower end of the 98% confidence interval (of a two- sided test)? (you need to write a number that is rounded to the fourth digit after the decimal).Assess whether the error terms of the econometric model in Wage=b0+b1(lQ) are normally distributed using the residuals from the sample regression function in wage=166.99+8.3(IQ), based on a histogram of frequency distribution, the skewness and kurtosis values, as well as the Jarque-Bera test statistic.A researcher investigating whether government expenditure crowds out investment estimates a regression on data for 30 countries. I-investment; G-government recurrent expenditure; Y=gross domestic product; all measured in $US billion. P= population measured in million. Standard errors are in parentheses. Î= 18.10 (7.79) R² = 0.99 1.07G + 36Y (0.14) (0.02) She suspects that countries with higher GDP may have more variability in their investment. She sorts the observations by increasing size of gdp per capita (Y)and estimates the regression again for the 11 countries with the lowest gdp(Y)and the 11 countries with the largest gdp(Y). The RSS1 from the first regression is 7186. The RSS2 from the second regresison is 28101. Perform a Goldfeld-Quandt Test at a 5% significance level. a. The test statistic for this test is 0.256 b. The critical value defining the rejection region for Ho is 3.18 c. Is there heterscedasticity? Yes=1 or No-0. The answer is 0