4. The coefficient of multiple determination (R²), with two independent variable

ID: 3228552 • Letter: 4

Question

4. The coefficient of multiple determination (R²), with two independent variables, is

a. the amount of variation explained by X1 plus the amount of variation

explained by X2 after controlling for the effect of X1

b. the amount of variation explained by X1 minus the amount of variation

unexplained by X2

c. the total variation in Y minus the amount unexplained by X1 after

controlling for X2

d. the sum of all explained and unexplained variation in X1 and X2

6. Under what condition could the coefficient of multiple determination (R²) be lower in value than the zero-order correlation coefficients?

a. under no condition. This is mathematically impossible

b. only when all bivariate relationships are negative

c. only when all bivariate relationships are zero

d. only when the relationships are spurious

4.The correct option is :-

c. the total variation in Y minus the amount unexplained by X1 after

controlling for X2

5. The correct option is :-

c. only when all bivariate relationships are zero

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