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In this problem, a regression has been performed that examines whether or not one can predict if a student wants a lecturer to be extroverted using the student's extroversion score. Using the attached tables, please interpret the results (but not the Variables Entered/Removed Table). There are three-four questions but no calculations.
Comment on the changes in the variables scores. The correlation coefficient (r) and the coefficient of determination (r2) found in the Model Summary indicate the strength of the linear trend between the variables. What is it? Also, the significance value in the ANOVA table indicates whether the changes in the dependent-variable scores that accompany changes in independent variable scores are significant. Are they? Lastly, the Coefficients Table provides the y-intercept and the slope for the regression equation. What is it?
Variables Entered/Removeda
Model
Variables Entered
Variables Removed
Method
1
Student Extroversionb
.
Enter
a. Dependent Variable: Student wants Extroversion in lecturers
b. All requested variables entered.
Descriptive Statistics
Mean
Std. Deviation
N
Student wants Extroversion in lecturers
12.9288
6.89891
281
Student Extroversion
29.5160
6.61605
Model Summary
R
R Square
Adjusted R Square
Std. Error of the Estimate
.153a
.023
.020
6.82989
a. Predictors: (Constant), Student Extroversion
ANOVAa
Sum of Squares
df
Mean Square
F
Sig.
Regression
311.947
6.687
.010b
Residual
13014.630
279
46.647
Total
13326.577
280
b. Predictors: (Constant), Student Extroversion
Coefficientsa
Unstandardized Coefficients
Standardized Coefficients
t
B
Std. Error
Beta
(Constant)
8.220
1.866
4.405
.000
.160
.062
.153
2.586
.010
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