Variable A Variable B Variable C Dep. Variable Variable A 1.00 .62 .88 .58 Varia

Question

Variable A

Variable B

Variable C

Dep. Variable

Variable A

1.00

.62

.88

.58

Variable B

1.00

.68

.32

Variable C

1.00

.48

Dep. Variable

1.00

1) If a regression analysis is performed using Variable A, Variable B and Variable C as independent variables to predict the dependent variable, what is the lowest possible value of R2?

2) Considering the correlations among the variables, what problem is likely to develop when a regression analysis is done using Variable A, Variable B, and Variable C to predict Dep. Variable?

3) Using Polit dataset C-2, analyze the correlations among the following four variables: depression score (CESD, #35); age; physical health (sf12phys, #44); mental health (sf12ment, #45) in this sample of low-income women.  

Variable A

Variable B

Variable C

Dep. Variable

Variable A

1.00

.62

.88

.58

Variable B

1.00

.68

.32

Variable C

1.00

.48

Dep. Variable

1.00

Explanation / Answer

(1)

if the indiviaual variable are regressed on dependent variable the R2 are

if one Variable A is in regression equation , R2=0.58*0.58=0.3364

if one Variable A is in regression equation , R2=0.32*0.32=0.1024

if one Variable A is in regression equation , R2=0.48*0.48=2304

so lowest possible R2=0.58*0.58=0.3364

(2) here multicollinearity problem will likey to develop

(3) please provide the data........

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