The ______ is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
A. sum of squares due to regression (SSR)
B. sum of squares due to error (SSE)
C. erorr term
D. residual
Sum of squares Due to Error ( \(S S E\) ): measure of the error in using the estimated regression equation to estimate the values of the dependent variable in the sample.
eq12.8: Sum of squares Due to Error: \(S S E=\sum\left(y_{i}-\hat{y}_{i}\right)^{2}\)
So, B option
The ______ is a measure of the error in using the estimated regression equation to predict...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...
The data from exercise 1 follow.The estimated regression equation for these data is yˆ = .20 + 2.60x.Compute SSE, SST, and SSR using the following equations (14.8), (14.9), and (14.10) (to 1 decimal if necessary).SSESSTSSRCompute the coefficient of determination r2 (to 3 decimals).Does this least squares line provide a good fit?Compute the sample correlation coefficient (to 4 decimals).
What would be the value of the sum of squares due to regression (SSR) if the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89? a. 31.89 b. 19.32 c. 18.43 d. 15.32
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...
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...
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...
Use the table and the given regression equation to answer parts (a)-(e). y = - 1.50 a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SSTEN (Type an integer or a decimal.) SSR=N (Type an integer or a decimal.) SSEN (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? O No O Yes c. Determine the value of the coefficient of determination. (Round...
Given are five observations for two variables, r and y. 3 4 5 1 2 7 6 11 14 4 The estimated regression equation is y = 1.2 + 2.4r Compute the mean square error using the following equation (to 3 decimals). a. SSE s2=MSE n- 2 decimals). b. Compute the standard error of the estimate using the following equation (to SSE VMSE Vn-2 SE c. Compute the estimated standard deviation bi using the following equation (to 3 decimals). Sp...
A regression equation estimating left palm length (Y variable) based on right palm length (X variable) based on a sample of 55 college students resulted in an error sum of squares (SSE) of 10.7 and a total sum of squares (SST) of 85.2. The R2 for this model is ______. a. 87.4% b. 12.6% c. 74.5% d. Cannot be determined from the information provided
Name Economics 5 Ch 13 Practice The follo wing data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administ ration Obser vation index xi 2.6 3300 3.4 3600 3.6 4000 3.2 3500 3.5 3900 2.9 3600 TSS Totals SSR SSE 1. Calculate and y 2. Use the least squares method to develop the estimated regression equation. Use two decimal points in your answers for bo and bi. 3....