You conduct a standard multiple regression (SMR) analysis with two predictors (X1 and X2), which account for 30% of the variability in the criterion (Y). However, the shared variance between X1 and X2 accounts for 20% of the variance in the DV. If both IVs are entered together in a standard multiple regression, the coefficient for X1 will be __________ compared to the coefficient that X1 would produce if X1 was entered in Block 1 of a hierarchical multiple regression (HMR), with X2 entered in Block 2.
(a) unchanged
(b) it is impossible to say
(c) smaller
(d) larger
You conduct a standard multiple regression (SMR) analysis with two predictors (X1 and X2), which account...
You conduct a standard multiple regression (SMR) analysis with two predictors (X1 and X2), which account for 25% of the variability in the criterion (Y). However, the shared variance between X1 and X2 accounts for 0% of the variance in the DV. If both IVs are entered together in a standard multiple regression, the coefficient for X1 will be compared to the coefficient that X1 would produce if X1 was entered in Block 1 of a hierarchical multiple regression (HMR),...
A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained. Coefficient Standard Error Constant 4.0928 1.4400 X1 10.0230 1.6512 X2 0.1020 0.1225 X3 -4.4811 1.4400 Analysis of Variance Source DoF SoS MS F Regression ? 360.59...
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...