A multiple regression model has the form y^=b0+b1x1+b2x2 The coefficient b1 is interpreted as the: A. change in y per unit change in x1, holding x2 constant B. change in the average value of y per unit change in x1, holding x2 constant C. change in y per unit change in x1, when x1 and x2 values are correlated D. change in y per unit change in x1
A multiple regression model has the form
y^=b0+b1x1+b2x2
The coefficient b1 is interpreted as the:
A. change in y per unit change in x1, holding x2 constant
B. change in the average value of y per unit change in x1, holding x2 constant
C. change in y per unit change in x1, when x1 and x2 values are
D. change in y per unit change in x1
If multicollinearity exists among the independent variables included in a multiple regression model, the:
A. multiple coefficient of determination will assume a value close to zero
B. standard errors of the regression coefficients for the correlated independent variables will increase
C. regression coefficients will be difficult to interpret
D. regression coefficients will be difficult to interpret and the standard errors of the regression coefficients for the correlated independent variables will increase
please explain which answer is correct and why
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