The following results were obtained as part of a multiple regression analysis involving 3 independent variables:
SSR = 12240, SSYY = 16900, and n = 31
The calculated value of the F statistic is: (6 pts)
| Sources | Sum of Square | Degree of freedom | Mean square | F value |
| Regression | 12240 | 3-1 = 2 | 12240/2 = 6120 | F = 6120/166.43 = 36.77 |
| Error | 16900 - 12240 = 4660 | 30-2 = 28 | 4660/28 = 166.43 | |
| Total | 16900 | 31-1 = 30 |
The following results were obtained as part of a multiple regression analysis involving 3 independent variables:...
eBook Video In a regression analysis involving 30 observations, the following estimated regression equation was obtained. 17.6+3.8z-2.3z +7.6z, +2.7z For this estimated regression equation SST- 1805 and SSR- 1,764. a. At a 0.05, test the significance of the relashionship among the variables. SSE (to 1 decimal, if necessary) MSR (to 1 decimal, if necessary) MSE (to 2 decimal if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table 4 in Appendix B. What is...
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. = 17.6 +3.821 -2.3x2 + 7.603 + 2.724 For this estimated regression equation SST = 1805 and SSR = 1,756. a. At a = 0.05, test the significance of the relashionship among the variables. SSE (to 1 decimal, if necessary) MSR (to 1 decimal, if necessary) MSE (to 2 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table...
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In a multiple regression analysis involving 8 independent variables and 165 observations, SST = 650 and SSE = 247. The coefficient of determination is equal to what value? (Report your answer as a proportion to 2 decimal places, using conventional rounding rules)
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST= 1805 and SSR=1756. a. At a= 0.05 , test the significance of the relationship among the variables. SSE=_________________ (to 1 decimal, if necessary) MSR=________________ (to 1 decimal, if necessary) MSE=+_______________ (to 2 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? _______________ What is the p-value? - Select your answer -less than .01,between...
a. In a regression analysis involving 30 observations, the following estimated regression equation was obtained: y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST=1805, and SSR=1760. At α=0.05, test the significance of the relationship among the variables.
in a multiple regression analysis, six independent variables are used in the equation based on a sample of 45 observations. what are the degrees of freedom associated with the F statistic?
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