In estimating a regression based on monthly observations from January 1987 to December 2002 inclusive, you find that the coefficient on the independent variable is positive and significant at the 0.05 level. You are concerned, however, that the t−statistic on the independent variable may be inflated because of serial correlation between the error terms. Therefore, you examine the Durbin-Watson statistic, which is 1.8953 for this regression.
(3.1) Based on the value of the Durbin-Watson statistic, what can you say about the serial correlation between the regression residuals? Are they positively correlated, negatively correlated, or not correlated at all? (3)
Since the value of the Durbin-watson test statistic i.e. 1.8953 is less than 2 it means that the regression residuals are positively correlated.
In estimating a regression based on monthly observations from January 1987 to December 2002 inclusive, you find that the...
In estimating a regression based on monthly observations from January 1987 to December 2002 inclusive, you find that the coefficient on the independent variable is positive and significant at the 0.05 level. You are concerned, however, that the t−statistic on the independent variable may be inflated because of serial correlation between the error terms. Therefore, you examine the Durbin-Watson statistic, which is 1.8953 for this regression. (3.1) Based on the value of the Durbin-Watson statistic, what can you say about...
In estimating a regression based on monthly observations from January 1987 to December 2002 inclusive, you find that the coefficient on the independent variable is positive and significant at the 0.05 level. You are concerned, however, that the t−statistic on the independent variable may be inflated because of serial correlation between the error terms. Therefore, you examine the Durbin-Watson statistic, which is 1.8953 for this regression. Perform a statistical test to determine if serial correlation is present. Assume that the...
Pick a minimum of 20 observations on any subject. This will include a dependent variable plus two independent variables that you may think are either negatively or positively correlated with the dependent variable. List the observed data (include the source). Then do the following: a. State before doing any calculations whether you think they are positively or negatively correlated. What is your rationale? Example: I test for a correlation between the quantity of coffee that people buy (Y) with the...
Use it and Excel to answer this question. It contains the United States Census Bureau’s estimates for World Population from 1950 to 2014. You will find a column of dates and a column of data on the World Population for these years. Generate the time variable t. Then run a regression with the Population data as a dependent variable and time as the dependent variable. Have Excel report the residuals. (a) (4 marks) Based on the ANOVA table and t-statistics,...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...
4. Testing for significance Aa Aa Consider a multiple regression model of the dependent variable y on independent variables x1, x2, X3, and x4: Using data with n = 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: 0.04 + 0.28X1 + 0.84X2-0.06x3 + 0.14x4 y She would like to conduct significance tests for a multiple regression relationship. She uses the F test to determine whether a significant relationship exists...
Which one of the following is a good candidate to forecast the cyclical component for the future? HES SES WES All of the above In OLS, deviations of predicted values from actual values are called Residuals Population errors Random deviations All of the above When computing the MAt, _________ is(are) removed Seasonality and irregular fluctuations Seasonality, irregular fluctuations, and cyclical movements Seasonality and cyclical movements Irregular fluctuations and cyclical movements A common source of unusual coefficient estimate signs and statistical...
What is the relationship between the price of crude oil and the price you pay at the pump for gasoline? The accompanying table shows the prices of crude oil and the price you pay at the pump for 24 consecutive months. Complete parts (a) through (h) below. Month Crude_Oil Gasoline 1 75 1.858 2 76 1.477 3 75 1.372 4 76 1.204 5 75 2.344 6 75 2.424 7 78 1.399 8 81 1.296 9 74 1.496 10 79 1.196...
Lab Activity 6: Multiple Regression We are looking at the research question: Will positive affectivity (PA) and social support (ASOCS) predict academic burnout (ABO) levels? Previous research has shown that people who have more positive affect tend to experience burnout less. Research has also shown that social support can help prevent burnout. Previous research has not found any relationship between positive affectivity and social support. | Descriptive Statistics Mean Std. Deviation N 3.3154 .92736 227 ABO PA 3.356 .6729 227...
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...