4. Coefficients a Model Unstandardized Coefficients Standardized Coefficients t

Question

4.

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

4.633

.251

18.424

.000

FA4

-.241

.050

-.434

-4.847

.000

BAL4

.571

.049

1.050

11.719

.000

a. Dependent Variable: SAT3

a. what type of statistical analysis is this for each output

b. what is each analysis testing for

c. please interpret the output for each analysis based upon what each is testing for. Also, tell me how you were able to come to this interpretation conclusion (i.e., if an analysis is testing for correlation, then which constructs are correlated with each other and how did you come to this conclusion based upon the output).

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

4.633

.251

18.424

.000

FA4

-.241

.050

-.434

-4.847

.000

BAL4

.571

.049

1.050

11.719

.000

a. Dependent Variable: SAT3

Explanation / Answer

This is regression question. It is not given what type of variable is sat3 , based on this we can decide if this is logisitic or linear regression.
If sat3 is continous , then we have linear regression
If sat3 is categorical(flag variable) , then we have logisitic regression

for each variable we check whether the independent variable is signficant or not

so we formulate the hypothesis as

H0 : the variable is not signficant for the model
H1 : the variable is significant for the model

we check the respective p values for each model , if the p value is less than 0.05 then we say that the model is signficant

here the p values of both FA4 and BAL4 are 0.000 , which is less than 0.05 , hence both the variables are significant

Considering this as a logistic regression

we can interpret the beta coefficients as
for every unit change in the value of FA4 the odds of SAT3 decreases by a factor of -0.434

we can interpret the beta coefficients as
for every unit change in the value of BAL4 the odds of SAT3 increases by a factor of 0.050

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