Homework Answers
The attach image give the solution in details given below
Formula :
R-square = SSR / SST i.e(sum of square Regression divided by sum of square total)
or 1 - (SSE / SST)
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Using 3 variables and 13 observations, we are going to predict 'y. According to 0.05 significant...
Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7...
Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7 5 11 14 The estimated regression equation for these data is ý = 0.2 +2.6z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Sy.- SST = = (y - SSR = = (y - SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Yes, the...
Given are five observations for two variables, z and y. 12 3 4 5 37 7...
Given are five observations for two variables, z and y. 12 3 4 5 37 7 13 14 The estimated regression equation for these data is 0.4 +2.8. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SST E(,- SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? No, the least squares line does not produce much of a fit c. Compute the...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the follow...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...
4. Testing for significance Aa Aa Consider a multiple regression model of the dependent variable y on independent variables x1, x2, X3, and x4: Using data with n = 60 observations for each of the var...
4. Testing for significance Aa Aa Consider a multiple regression model of the dependent variable y on independent variables x1, x2, X3, and x4: Using data with n = 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: 0.04 + 0.28X1 + 0.84X2-0.06x3 + 0.14x4 y She would like to conduct significance tests for a multiple regression relationship. She uses the F test to determine whether a significant relationship exists...
Given are five observations for two variables, x and y. xi Yi 1 4 2 7...
Given are five observations for two variables, x and y. xi Yi 1 4 2 7 3 8 4 5 11 15 The estimated regression equation for these data is y = 1.2 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSD = 2(y - ý) SST = 2(y; - 5)2 SSR = 2() - 12 SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
Given are five observations for two variables, x and y. xi 4 8 14 16 18...
Given are five observations for two variables, x and y. xi 4 8 14 16 18 yi 58 52 45 24 11 The estimated regression equation for these data is y= 75.06 - 3.09x. A. Compute SSE, SST, and SSR using the following equations (to 2 decimal). B.Compute the coefficient of determination r2 (to 3 decimals). The least squares line provided an (good/bad) fit; ---------% of the variability in y has been explained by the estimated regression equation (to 1...
3. (20 pts) Suppose that we have 4 observations for 3 variables y , x\, X2...
3. (20 pts) Suppose that we have 4 observations for 3 variables y , x\, X2 and consider a problem of regressing y on two (qualitative) variables x\, xz. Data y (Income) x (Gender) X2 (Management Status) obs no. Female None 2 Male None 3 Female Yes 4 Male Yes Y4 To handle the qualitative variables x\, x2, we define dummy variables z1, 22 as Male for for 1, 1, T2= Yes Z1= Z2= -1 for for 1 1 =...
Given are five observations for two variables, 7 and y. 2 1 3 4 S M...
Given are five observations for two variables, 7 and y. 2 1 3 4 S M 3 7 5 11 14 The estimated regression equation is y = 0.2 +2.67 a. Compute the mean square arror using the following equation to 3 decimals), - MSE SSE - 2 b. Compute the standard error of the estimate using the following equation (to 3 decimals). 5 VMSE SSE N-2 c. Compute the estimated standard deviation by using the following equation (to 3...
Given are five observations for two variables, and y 3 6 14 16 19 yi 52 57 42 17 10 Use the estimated regression equation is ý 67.97 - 2.79z a. Compute the mean square error using equation SSE MS2 (t...
Given are five observations for two variables, and y 3 6 14 16 19 yi 52 57 42 17 10 Use the estimated regression equation is ý 67.97 - 2.79z a. Compute the mean square error using equation SSE MS2 (to 2 decimals) b. Compute the standard error of the estimate using equation. SSE n -2 (to 2 decimals) c. Compute the estimated standard deviation of bi using equation (to 4 decimals) d. Use the t-test to test the following...
Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7 5 11 14 The estimated regression equation for these data is ý = 0.2 +2.6z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Sy.- SST = = (y - SSR = = (y - SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Yes, the...
Given are five observations for two variables, z and y. 12 3 4 5 37 7 13 14 The estimated regression equation for these data is 0.4 +2.8. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SST E(,- SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? No, the least squares line does not produce much of a fit c. Compute the...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...
4. Testing for significance Aa Aa Consider a multiple regression model of the dependent variable y on independent variables x1, x2, X3, and x4: Using data with n = 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: 0.04 + 0.28X1 + 0.84X2-0.06x3 + 0.14x4 y She would like to conduct significance tests for a multiple regression relationship. She uses the F test to determine whether a significant relationship exists...
Given are five observations for two variables, x and y. xi Yi 1 4 2 7 3 8 4 5 11 15 The estimated regression equation for these data is y = 1.2 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSD = 2(y - ý) SST = 2(y; - 5)2 SSR = 2() - 12 SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
3. (20 pts) Suppose that we have 4 observations for 3 variables y , x\, X2 and consider a problem of regressing y on two (qualitative) variables x\, xz. Data y (Income) x (Gender) X2 (Management Status) obs no. Female None 2 Male None 3 Female Yes 4 Male Yes Y4 To handle the qualitative variables x\, x2, we define dummy variables z1, 22 as Male for for 1, 1, T2= Yes Z1= Z2= -1 for for 1 1 =...
Given are five observations for two variables, 7 and y. 2 1 3 4 S M 3 7 5 11 14 The estimated regression equation is y = 0.2 +2.67 a. Compute the mean square arror using the following equation to 3 decimals), - MSE SSE - 2 b. Compute the standard error of the estimate using the following equation (to 3 decimals). 5 VMSE SSE N-2 c. Compute the estimated standard deviation by using the following equation (to 3...
Given are five observations for two variables, and y 3 6 14 16 19 yi 52 57 42 17 10 Use the estimated regression equation is ý 67.97 - 2.79z a. Compute the mean square error using equation SSE MS2 (to 2 decimals) b. Compute the standard error of the estimate using equation. SSE n -2 (to 2 decimals) c. Compute the estimated standard deviation of bi using equation (to 4 decimals) d. Use the t-test to test the following...
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