Suppose you ran a regression with a full model. After looking at the result, you decided to drop some variables and run another regression with a reduced model. The ANOVA tables of the two regression models are as follow: Full Model MS Significance F 3 3465.51 24 2925.463 27 6390.973 0.000259047 Regression Residual Total Reduced Model MS Significance F Regression Residual Total 1 3396.754 26 2994.219 27 6390.973 1.08156E-05 4.2. Question 4.2 How many variables were dropped from the full model? O A. 26 O B. 1 O C. 3 O D. 2
Suppose you ran a regression with a full model. After looking at the result, you decided to drop some variables and run another regression with a reduced model. The ANOVA tables of the two regression models are as follow: Full Model MS Significance F 0.000259047 Regression Residual Total 3 3465.51 24 2925.463 27 6390.973 Reduced Model MS Significance F Regression Residual Total 1 3396.754 26 2994.219 27 6390.973 1.08156E-05 4.3. Question 4.3 What are the degrees of freedom for the partial F-test in this case? O A. 1 and 26 B. 3 and 24 O C. 2 and 26 D. 2 and 24
Suppose you ran a regression with a full model. After looking at the result, you decided to drop some variables and run another regression with a reduced model. The ANOVA tables of the two regression models are as follow: Full Model MS Significance F 3 3465.51 24 2925.463 27 6390.973 0.000259047 Regression Residual Total Reduced Model MS Significance F Regression Residual Total 1 3396.754 26 2994.219 27 6390.973 1.08156E-05 4.5. Question 4.5 Let the p-value for your partial F-test be 0.7567. Then your conclusion would be O A. do not reject the null hypothesis. Use the full model. B. reject the null hypothesis. Use the reduced model. C. do not reject the null hypothesis. Use the reduced model. O D. reject the null hypothesis. Use the full model.
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Suppose you ran a regression with a full model. After looking at the result, you decided to drop ...
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...
1.The following tables give the results for the full model, as well as a reduced model, containing only experience Test Ho: ß,-Bs-0 vs HA: β2 and/or β3 # 0 Complete Model: Y-βο + β1X1 + β2X2 + β3Xs +...
1.The following tables give the results for the full model, as well as a reduced model, containing only experience Test Ho: ß,-Bs-0 vs HA: β2 and/or β3 # 0 Complete Model: Y-βο + β1X1 + β2X2 + β3Xs + ε ANOVA MS P-value df 76.9 Regression Residual Total 2470.4 823.5 224.7 2695.1 .0000 10.7 21 24 Reduced Model: Y = β0 + β X + ε MS df 1 23 24 value 2394.9 2394.9 183.5 0.0000 300.2 13.1 2695.1 Regression...
A regression model relating x, number of salespersons at a branch office, to y, annual sales...
A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where n total=26. a. Write the estimated regression equation (to whole number). y=_____+_____x b. Compute the F statistic and test the significance of the relationship at a .05 level of significance. (to 2 decimals) F-value ____ p-value is _______, we _________ h0 c. Compute the...
Suppose a random sample of 28 runners was measured on the number of minutes it took...
Suppose a random sample of 28 runners was measured on the number of minutes it took to run 1.5 miles, resting heart rate (centered at the mean of 54), and age (centered at the mean of 49). The following regression equation was obtained: runtime_hat = 10.82 + .05(restpulse -54) + .11(age-49). Conduct an F-test for model at the alpha = .05 significance level. Round answers to two decimal places. Source SS df MS F Regression 23.23 Residual 48.84 Total What...
3. Examples - Miscellaneous, problem 6 Aа Aa Assume you have conducted two regressions using the...
3. Examples - Miscellaneous, problem 6 Aа Aa Assume you have conducted two regressions using the same data. The first regression on the full model had 11 independent variables and a sample size of 220. You then run a reduced model after eliminating 6 of the independent 101,421 variables that appeared insignificant on the basis of the individual t-tests. Data for the full model: SSR and MSE 901. Data for the reduced model: SSR = 10,005. What The partial F...
QUESTION 27 Q27. A manager at a local bank analyzed the relationship between monthly salary (y,...
QUESTION 27 Q27. A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model: Salary = Bo + B1 Service + ε. The following ANOVA table below shows a portion of the regression results. df SS M S F Regression 555,420 555,420 7.64 Residual 27 1,962,873 72,699 Total 28 2 ,518,293 Coefficients Standard Error t-stat p-value Intercept 784.92 322.25 2.44 0.02...
Suppose you are interested in buying a new Toyota Corolla. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approach...
Suppose you are interested in buying a new Toyota Corolla. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of Toyota Corollas of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle....
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF...
Use the following ANOVA table for regression to answer the
questions.
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
1
3404.5
3404.5
22.3
0.000
Residual Error
174
26569.8
152.7
Total
175
29974.3
Give the F-statistic and p-value.
Enter the exact answers.
The F-statistic is ?
The p-value is ?
Choose the conclusion of this test using a 5% significance
level.
Reject H0. The model is effective.
Do not reject H0. We did not find evidence that the model...
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF...
Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF SS MS F P Regression 1 289.0 289.0 2.01 0.158 Residual Error 174 25021.2 143.8 Total 175 25310.2 Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is Choose the conclusion of this test using a 5% significance level. Do not reject H0. We did not find evidence that the model is effective. Reject H0. The model is...
A regression model relating number of salespersons at a branch office, to y, annual sales at...
A regression model relating number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where th =26. ANOVA SS MS F Significance F u Significance Regression Residual Total 8756.4 p-value 510 s.com Coefficients Standard Error Stat Intercept 7 7.0 10.723 Number of 5.609 Salespersons Write the estimated regression equation (to whole number). V= b. Compute the statistic and test 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...
1.The following tables give the results for the full model, as well as a reduced model, containing only experience Test Ho: ß,-Bs-0 vs HA: β2 and/or β3 # 0 Complete Model: Y-βο + β1X1 + β2X2 + β3Xs + ε ANOVA MS P-value df 76.9 Regression Residual Total 2470.4 823.5 224.7 2695.1 .0000 10.7 21 24 Reduced Model: Y = β0 + β X + ε MS df 1 23 24 value 2394.9 2394.9 183.5 0.0000 300.2 13.1 2695.1 Regression...
3. Examples - Miscellaneous, problem 6 Aа Aa Assume you have conducted two regressions using the same data. The first regression on the full model had 11 independent variables and a sample size of 220. You then run a reduced model after eliminating 6 of the independent 101,421 variables that appeared insignificant on the basis of the individual t-tests. Data for the full model: SSR and MSE 901. Data for the reduced model: SSR = 10,005. What The partial F...
QUESTION 27 Q27. A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model: Salary = Bo + B1 Service + ε. The following ANOVA table below shows a portion of the regression results. df SS M S F Regression 555,420 555,420 7.64 Residual 27 1,962,873 72,699 Total 28 2 ,518,293 Coefficients Standard Error t-stat p-value Intercept 784.92 322.25 2.44 0.02...
Suppose you are interested in buying a new Toyota Corolla. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of Toyota Corollas of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle....
Use the following ANOVA table for regression to answer the
questions.
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
1
3404.5
3404.5
22.3
0.000
Residual Error
174
26569.8
152.7
Total
175
29974.3
Give the F-statistic and p-value.
Enter the exact answers.
The F-statistic is ?
The p-value is ?
Choose the conclusion of this test using a 5% significance
level.
Reject H0. The model is effective.
Do not reject H0. We did not find evidence that the model...
A regression model relating number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where th =26. ANOVA SS MS F Significance F u Significance Regression Residual Total 8756.4 p-value 510 s.com Coefficients Standard Error Stat Intercept 7 7.0 10.723 Number of 5.609 Salespersons Write the estimated regression equation (to whole number). V= b. Compute the statistic and test the...
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