The following estimated regression equation based on 30 observations was presented.
ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4
The values of SST and SSR are 1,807 and 1,758, respectively.
(a)
Compute R2. (Round your answer to three decimal places.)
R2 =
(b)
Compute
Ra2.
(Round your answer to three decimal places.)
Ra2 =
part 2:
the following estimated regression equation relating sales to inventory investment and advertising expenditures was given.
ŷ = 27 + 15x1 + 9x2
The data used to develop the model came from a survey of 10 stores; for those data, SST = 19,000 and SSR = 14,820.
(a)
For the estimated regression equation given, compute
R2.
R2 =
(b)
Compute
Ra2.
(Round your answer to two decimal places.)
Ra2 =
(c)
Does the model appear to explain a large amount of variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least 55%. Round your answer to the nearest integer.)
The adjusted coefficient of determination shows that % of the variability has been explained by the two independent variables
part2 78% of variation in y variable is explained by independent variables.
From the value of R square we say that large amount of variation in dependent variable is explained by two independent variables.
As R square is 0.78
Means r is 0.8832 means there is high positive correlation between the dependent and independent variable.
And
Adjusted R square say that 75% of variability has been explained by the two independent variables.
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1...
The following estimated regression equation based on 10 observations was presented. ŷ = 29.1220 + 0.5306x1 + 0.4880x2 The values of SST and SSR are 6,714.125 and 6,219.375, respectively. (a) Find SSE. SSE = (b) Compute R2. (Round your answer to three decimal places.) R2 = (c) Compute Ra2. (Round your answer to three decimal places.) Ra2 =
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.
The following estimated regression equation is based on 30 observations. y= 17.8- 3.5x1 -2.2x2 +7.6x3 +2.5x4 The values of SST and SSR are 1,810 and 1,755, respectively. 1) Compute R2 (round to 3 decimals) 2) Compute Ra2 (Round to 3 decimals)
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...
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...
The following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ý = 24 + 14x + 7x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 18,000 and SSR = 12,780. (a) For the estimated regression equation given, compute RS R2 = (b) Compute R, (Round your answer to two decimal places.) (c) Does the model appear to explain a large amount of variability in...
Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 15,196.1, and SSR = 14,180.8. Round your answers to three decimal places. a. Compute R2 b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? - Select your answer -
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...
The estimated regression equation for a model involving two independent variables and 10 observations follows. v=27.085 + 0.3331 + 0.604222 a. Interpret by and b2 in this estimated regression equation. bi Select your answer 02 Select your answer b. Estimate y when Z1 =180 and 22 = 310 (to 3 decimals). The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 30 observations. y = 17.2...
Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 14,897.6, and SSR = 13,754.5. 109 113 Round your answers to three decimal places. a. Compute RⓇ b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? - Select your answer -