a-1)
std error of estimate =sqrt(MSE)=sqrt(45.52)=6.75
a-2)
95% of residuals will be between -13.5 and 13.5
b-1)
coefficient of deternination =R2 =SSR/SST=0.629
b-2)
% of variation =r2*100 =62.9%
c)
| R2adj= | 1-(n-1)*SSE/(SST(n-k-1)) = | 0.581 | |
2 Consider the ANOVA table that follows. Analysis of Variance Source Regression Residual Error47 2,139.35 Total...
Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 5 3710.00 742.00 12.89 Residual Error 46 2647.38 57.55 Total 51 6357.38 a-1. Determine the standard error estimate. (Round your answer to 2 decimal places.) a-2. About 95% of the residuals will be between what two values? (Round your answers to 2 decimal places.) b-1. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) b-2. Determine the percentage variation for the...
Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 4 4,105.03 1,026.26 23.75 Residual Error 49 2,117.05 43.21 Total 53 6,222.08 a-1. Determine the standard error of estimate. (Round your answer to 2 decimal places.) a-2. About 95% of the residuals will be between what two values? (Round your answers to 2 decimal places.) b-1. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) b-2. Determine the percentage variation for...
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Consider the ANOVA table that follows. Analysis of Variance Source DFSS Regression 6 3,229.14 Residual Error 51 2,187.03 Total 57 5,416.16 MSF 538. 19 12.55 42.88 a-1. Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate a-2. About 95% of the residuals will be between what two values? (Round your answers to 2 decimal places.) 95% of the residuals will be between and b-1. Determine...
Given the following ANOVA table: Source Regression Error Total F 24.00 DF 1 12 13 SS 1,050.0 525.0 1,575.0 MS 1,050.00 43.75 a. Determine the coefficient of determination. (Round your answer to 3 decimal places.) Coefficient of determination c. Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate
Given the following ANOVA table: Source DF SS MS F Regression 1 1,050 1,050.00 24.00 Error 12 525 43.75 Total 13 1,575 a. Determine the coefficient of determination.(Round your answer to 2 decimal places.) Coefficient of determination _____ b. Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.) Coefficient of correlation _____ c. Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate...
The ANOVA summary table to the right is for a multiple regression model with nine independent variables. Complete parts (a) through (e) Degrees of Source Freedom Squares Sum of Regression Error Total 260 180 440 19 28 5909 (Round to four decimal places as needed.) Interpret the meaning of the coefficient of multiple determination The coefficient of multiple determination indicates that 59.09% of the variation in the dependent variable can be explained by the variation in the independent variables e....
Given the following ANOVA table: Source DF SS MS F Regression 1 1,500.0 1,500.00 24.00 Error 12 750.0 62.50 Total 13 2,250.0 Determine the coefficient of determination. (Round your answer to 3 decimal places.) Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.) Determine the standard error of estimate. (Round your answer to 2 decimal places.)
Given the following ANOVA table: Source DF SS MS F Regression 1 1,190.0 1,190.00 38.90 Error 17 520.0 30.59 Total 18 1,950.0 Determine the coefficient of determination. (Round your answer to 3 decimal places.) Assuming a direct relationship between the variables, what is the correlation coefficient? (Round your answer to 2 decimal places.) Determine the standard error of estimate. (Round your answer to 2 decimal places.)
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 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...