Practice with Multiple Regression
Practice with Multiple Regression
Here’s the output from modeling average ratings on recommendation letters) from gpa, greq, grev and gender
-----------------------
Does the model “work”?
Yes – p < .001
How well ???
The model accounts for about 34% of the variance among GRE scores
Which predictors contribute to the regression model? Interpret the b of each.
Write out the regression model
Averate’ = (.344 * GPA) + (.119 * Gender) + (.003 * GREQ) + (.002 * GREV) + .730
Undergraduate grades and GREQ contribute (both with p < .05)
• With each 1-point increase in GPA, letter rating is expected to increase by .344
• With each 1-point increase in GREQ, letter rating is expected to increase by about .003
Coefficients
a
.730
.762
.958
.341
.344
.084
.401
4.106
.000
.119
.146
.074
.819
.415
2.996E-03
.001
.304
2.630
.010
-2.42E-03
.001
-.187
-1.690
.094
(Constant)
Undergraduate grade
point average on 1-9
scale
GENDER
Quantitative subscore of
GRE
Verbal subscore of GRE
Model
1
B
Std. Error
Unstandardized
Coefficients
Beta
Standardized
Coefficients
t
Sig.
Dependent Variable: rating derived from letters of recommendaton
a.
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