1) In a multiple regression output, if individual test of slope coefficient for each variable shows...
1) In a multiple regression output, if individual test of slope coefficient for each variable shows that all the independent variables are not significant individually, but test on overall validity of model supports the alternative hypothesis at a specified level of significance, this is most likely due to:
A.
autocorrelation
B.
multicollinearity
C.
the presence of dummy variables
D.
the absence of dummy variables
2.
Homework Answers
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1) In a multiple regression output, if individual test of slope
coefficient for each variable shows...
Consider the following ANOVA table for a multiple regression model. Complete parts a through e be...
*ANSWERS IN BOX ARE INCORRECT*
Consider the following ANOVA table for a multiple regression model. Complete parts a through e below. Source Regression 3 3,600 1200 20 Residual 35 2,100 60 Total df SSMSF 38 5,700 a. What is the size of this sample? n41 b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination. R0.5882 Round to four decimal places as needed.) d. Test the significance of the overall regression model using α=0.05...
Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very...
Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: multicollinearity. spurious regression. omitted variable bias. serial correlation.
3. The table below shows the regression output of a multiple regression model relating the beginn...
3. The table below shows the regression output of a multiple regression model relating the beginning salaries of employees in a given company to the following independent variables: Sex : an indicator variable (1=man and 0-woman) ducation years of schooling at the time of hire Experience number of months of previous work experience Source Regression Residual Total Df 4 8822,387,82 254,407 92 MS F-value 23.763,297 5,940,82423.35 46,151,118 Coefficient table Variable Constant Sex Education Experience Months t-value 10.94 6.02 3.22 2.16...
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient...
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: spurious regression. omitted variable bias. multicollinearity. serial correlation.
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient...
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: omitted variable bias. o serial correlation. spurious regression. o multicollinearity.
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient...
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: O multicollinearity. omitted variable bias. O serial correlation. spurious regression. 3 pts Question 9
Using 17 observations on each variable, a computer program generated the following multiple regression model: ŷ...
Using 17 observations on each variable, a computer program generated the following multiple regression model: ŷ = 88.2 +7.03x, + 1.69x2 - 9.84x, If the standard errors of the coefficients of the independent variables are, respectively, 4.78, 0.92, and 3.38 can you conclude that the independent variable X, is needed in the regression model? Let B. By, and B, denote the coefficients of the 3 variables in this model, and use a two-sided hypothesis test and significance level of 0.05...
how other important characteristics of multiple regressions analysis such as interpretation of the coefficient values of...
how other important characteristics of multiple regressions analysis such as interpretation of the coefficient values of the estimated regression model, performing a multicollinearity test and interpretation of the results, interpretation of variance and the relationships of the overall significance of the regression model.
A researcher would like to predict the dependent variable Y from the two independent variables X1...
A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N=10 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes. Use a significance level α=0.02. X1 X2 Y 40.5 62.9 21.8 16.4 51.3 31.8 62.5 44.4 29.6 60.4 53.6 40.6 50.2 54 33.7 39.2 51.5 37 80.9 16.9 58.1 41.6 52.6...
*ANSWERS IN BOX ARE INCORRECT*
Consider the following ANOVA table for a multiple regression model. Complete parts a through e below. Source Regression 3 3,600 1200 20 Residual 35 2,100 60 Total df SSMSF 38 5,700 a. What is the size of this sample? n41 b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination. R0.5882 Round to four decimal places as needed.) d. Test the significance of the overall regression model using α=0.05...
3. The table below shows the regression output of a multiple regression model relating the beginning salaries of employees in a given company to the following independent variables: Sex : an indicator variable (1=man and 0-woman) ducation years of schooling at the time of hire Experience number of months of previous work experience Source Regression Residual Total Df 4 8822,387,82 254,407 92 MS F-value 23.763,297 5,940,82423.35 46,151,118 Coefficient table Variable Constant Sex Education Experience Months t-value 10.94 6.02 3.22 2.16...
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: spurious regression. omitted variable bias. multicollinearity. serial correlation.
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: omitted variable bias. o serial correlation. spurious regression. o multicollinearity.
Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high (above 0.8), while none of the estimated coefficients are (individually) statistically different from zero at the 5-percent level of significance. The most likely reason for this result is: O multicollinearity. omitted variable bias. O serial correlation. spurious regression. 3 pts Question 9
Using 17 observations on each variable, a computer program generated the following multiple regression model: ŷ = 88.2 +7.03x, + 1.69x2 - 9.84x, If the standard errors of the coefficients of the independent variables are, respectively, 4.78, 0.92, and 3.38 can you conclude that the independent variable X, is needed in the regression model? Let B. By, and B, denote the coefficients of the 3 variables in this model, and use a two-sided hypothesis test and significance level of 0.05...
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