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?
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Variables Entered/Removeda
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Model
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Variables Entered
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Variables Removed
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Method
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1
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Student Extroversionb
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.
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Enter
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a. Dependent Variable: Student wants Extroversion in lecturers
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b. All requested variables entered.
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Descriptive Statistics
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Mean
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Std. Deviation
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N
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Student wants Extroversion in lecturers
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12.9288
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6.89891
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281
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Student Extroversion
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29.5160
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6.61605
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281
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Model Summary
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Model
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R
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R Square
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Adjusted R Square
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Std. Error of the Estimate
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1
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.153a
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.023
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.020
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6.82989
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a. Predictors: (Constant), Student Extroversion
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ANOVAa
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Model
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Sum of Squares
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df
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Mean Square
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F
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Sig.
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1
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Regression
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311.947
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1
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311.947
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6.687
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.010b
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Residual
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13014.630
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279
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46.647
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Total
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13326.577
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280
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a. Dependent Variable: Student wants Extroversion in lecturers
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b. Predictors: (Constant), Student Extroversion
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Coefficientsa
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Model
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Unstandardized Coefficients
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Standardized Coefficients
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t
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Sig.
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B
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Std. Error
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Beta
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1
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(Constant)
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8.220
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1.866
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4.405
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.000
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Student Extroversion
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.160
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.062
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.153
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2.586
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.010
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a. Dependent Variable: Student wants Extroversion in lecturers
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