1. An independent variable should be removed to improve the regression model if ____________. A) the...
1. An independent variable should be removed to improve the regression model if ____________.
A) the correlation coefficient is -1
B) the R2 value is 1
C) the t-statistic is less than 1
D) the p-value is greater than 0.05
Homework Answers
We test the null hypothesis that regression coefficient of an independent variable is zero..If p value is greater than 0.05, we accept the null hypothesis and remove the independent variable
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1. An independent variable should be removed to improve the
regression model if ____________.
A) the...
The ANOVA summary table to the right is for a multiple regression model with five independent...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Err...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
Multiple regression analysis produces a _______ for each independent variable in the model. Choices A. Partial...
Multiple regression analysis produces a _______ for each independent variable in the model. Choices A. Partial adjusted R-Square B. Partial regression coefficient C. Partial chi-square D. Partial correlation coefficient
Consider the following results of a multiple regression model of dollar price of unleaded gas (dependent variable) and a set of independent variables: price of crude oil, value of S&P500, price U....
Consider the following results of a multiple regression model of dollar price of unleaded gas (dependent variable) and a set of independent variables: price of crude oil, value of S&P500, price U.S. Dollars against Euros, personal disposal income (in million of dollars) : Coefficient t-statistics Intercept 0.5871 68.90 Crude Oil 0.0651 32.89 S&P 500 -0.0020 18.09 Price of $ -0.0415 14.20 PDI 0.0001 17.32 R-Square = 97% What will be forecasted price of unleaded gas if the value of independent...
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 0.0...
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...
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...
When working on a linear regression model, if adding an additional independent variable into the model...
When working on a linear regression model, if adding an additional independent variable into the model (that is, from Y = a + bX1 to Y = a + bX1 + bX2) increases the resultant r2 slightly and the resultant adjusted r2 decreases in the larger model (Y = a + bX1 + bX2), then one would be able to conclude that a) Y= a + bX1 is better forecasting model than Y= a + bX1 + bX2 b) Y=...
INDEPENDENT OR DEPENDENT ARE IN THE DROP DOWN BOXES. Degrees of Sum of The ANOVA summary...
INDEPENDENT OR DEPENDENT ARE IN THE DROP DOWN BOXES.
Degrees of Sum of The ANOVA summary table to the right is for a multiple regression model with two independent variables. Complete parts (a) through (e) Source Freedom Squares Regression Eror Total 15 17 70 160 230 Draw a conclusion. Choose the correct answer below o A. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than...
A multiple linear regression model based on a sample of 30 weeks is developed to predict...
A multiple linear regression model based on a sample of 30 weeks is developed to predict standby hours based on the total staff present and remote hours. The SSR is 24672.31and the SSE is 32019.36. Complete parts (a) through (d) below. a. Determine whether there is a significant relationship between standby hours and the two independent variables (total staff present and remote hours) at the 0.05 level of significance. What are the correct hypotheses to test? H0:________________ H1: ________________ Calculate...
Question 3 (3 points) The table below shows the regression results when calculating the least squares...
Question 3 (3 points) The table below shows the regression results when calculating the least squares line of regression relating variable x (predictor) to variable y (response): Intercept Coefficients 0.083 1.417 Standard Error 3.56 0.63 t Star 0.02 2.25 P-value 0.9822 0.0745 Does variable x share a statistically significant linear relationship with variable y at the 5% significance level? Yes, since the p-value of 0.0745 is greater than 0.05. Yes, since the slope coefficient of 1.417 is less than the...
*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...
INDEPENDENT OR DEPENDENT ARE IN THE DROP DOWN BOXES.
Degrees of Sum of The ANOVA summary table to the right is for a multiple regression model with two independent variables. Complete parts (a) through (e) Source Freedom Squares Regression Eror Total 15 17 70 160 230 Draw a conclusion. Choose the correct answer below o A. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than...
Question 3 (3 points) The table below shows the regression results when calculating the least squares line of regression relating variable x (predictor) to variable y (response): Intercept Coefficients 0.083 1.417 Standard Error 3.56 0.63 t Star 0.02 2.25 P-value 0.9822 0.0745 Does variable x share a statistically significant linear relationship with variable y at the 5% significance level? Yes, since the p-value of 0.0745 is greater than 0.05. Yes, since the slope coefficient of 1.417 is less than the...
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