Does T-distribution have asymptotic tails?
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Does T-distribution have asymptotic tails?
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- A researcher collected a data set for a random sample of 930 individuals living in and around London, with data collected over 1-year period. The Table below reports the OLS coefficient estimates (intercept not reported) and standard errors (in parentheses), where the dependent variable is [100xIn(well-being)]. Commuting time/60 -0.267 (0.039) -0.14 (0.040) Age Age squared/100 0.12 (0.040) Hours worked -0.0053 (0.001) log real income 0.0267 (0.009) Married or cohabiting 0.589 (0.032) Num. of children. -0.051 (0.015) Saves Degree 0.299 (0.022) -0.022 (0.035) The explanatory variables are: Commuting time = Number of minutes of commuting time per day; Age= Age in years; Hours worked = Hours worked per week; Log of real household income = 100xLn(real household income measured in £10,000s); Num. of children = Number of children under the age of 18; Save regularly = 1 if save regularly, 0 otherwise; University degree = 1 if has a University degree, 0 otherwise. Calculate the test statistics…Define Sharp regression discontinuity designs with example?For a logistic regression looking at the log-odds of obesity among 20 to 70 year olds, age was included as a predictor. Age was recorded into categories: 20-29, 30-39. 40-49, 50-59, and 60-70. Given it is an ordinal variable, the statistician acknowledged that age could be included in the logistic regression model as continuous or categorical. Suppose that the statistician used loglikelihood ratio test of nested models to examine whether age could be treated as continuous. First, what is the null hypothesis? O Age is not a predictor of obesity Age is appropriate as a continuous variable O Age is appropriate as a categorical variable O Age is a predictor of obesity
- Explain the concept of Asymptotic Distribution of the OLS Estimatorand t-Statistic in the multi regression model?Compute the least-squares regression line for predicting the right foot temperature from the left foot temperature. Round the slope and y-Intercept values to four decimal places.Define the Distributed Lag Model with Additional Lags and AR(p) Errors?
- The number of new contributors to a public radio station's annual fund drive over the last ten years is 170, 168, 165, 172, 178, 180, 175, 185, 180, 188 Develop a trend equation (regression equation) for this information and use it to predict period 11's number of new contributors. What is the R square value? What does R square signify?EuStockMarkets is a built-in R dataset. The EuStockMarkets data set is a time series giving the Daily Closing Prices of Major European Stock Indices, 1991-1998. We are interested in some descriptive statistics related to German DAX index prices. We can access the data directly by using the assignment x <- as.vector(EuStockMarkets[ ,2]) (In R use ? EuStockMarkets for info on this dataset.) Remember: x <- as.vector(EuStockMarkets[ ,2]) a.Calculate the sample median of x. b. Using R, find the 60th quantile of x. c. Calculate the interquartile range of x using R. d. Calculate the sample mean of x. e. Calculate a 10% trimmed mean for x. f. Calculate the sample variance of x. g. Calculate the sample standard deviation of x. h. What proportion of the x values are within 0.5 sample standard deviation from the sample mean i. Calculate the range of x. (one number) j. What number do you get if you add up the reciprocals of the values in x?The coefficients in a distributed lag regression of Y on X and its lags can be interpreted as the dynamic causal effects when the time path of X is determined randomly and independently of other factors that influence Y. Explain How?
- The number of hours 9 students spent studying and their resulting test scores have a significant linear correlation. The equation of the regression line (line of best fit) y' = 42.518+7.013x If a student studies for 5 hours for the test, he/she can expect to get a score of Select ] on the test (round to the nearest whole number). The y-intercept of [Select] means that a student who studied [Select ] hours can expect to get a score of Select] on the test (round to the nearest whole number). The slope of [Select] means that for every additional hour a student studies for the test, he/she can expect to Select ] the test score by [Select] points (round to the nearest whole number).What is the residual?This table reports the regression coefficients when the returns of the size-institutionalownership portfolio (columns 1 and 2) returns are regressed on three variables: a constant(column 3), the stock market returns (column 4), and the change of the value weighted discountof the closed end fund industry (column 6). Columns 5 and 7 report the corresponding t-statistics of the coefficient estimates. Note that a t-statistic with an absolute value above 1.96means the coefficient estimate is significantly different from 0 at the 1% level. Column 8reports the R square of the regressions. Column 9 reports the mean institutional ownership ofeach portfolio. The last column reports the F-statistics for a multivariate test of the null hypothesis that the coefficient on ΔVWD in the Low (L) ownership portfolio is equal to theHigh (H) ownership portfolio. Two-tailed p-values are in parentheses. 1. What is the main finding of this Table? 2. What is the explanation for…
