Results: MathReg2.sas

Prediction of Performance in First-year Calculus

Residual analysis

Model H: hsgpa hscalc hsengl totscore

The REG Procedure

Model: MODEL1

Dependent Variable: grade Final mark (if any)

The Reg Procedure

MODEL1

Fit

grade

Number of Observations

Number of Observations Read 579
Number of Observations Used 289
Number of Observations with Missing Values 290

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 4 43951 10988 58.86 <.0001
Error 284 53019 186.68704    
Corrected Total 288 96970      

Fit Statistics

Root MSE 13.66335 R-Square 0.4532
Dependent Mean 60.57785 Adj R-Sq 0.4455
Coeff Var 22.55502    

Parameter Estimates

Parameter Estimates
Variable Label DF Parameter
Estimate
Standard
Error
t Value Pr > |t|
Intercept Intercept 1 -70.49310 11.11446 -6.34 <.0001
hsgpa High School GPA 1 1.60612 0.22085 7.27 <.0001
hscalc HS Calculus 1 0.24685 0.10148 2.43 0.0156
hsengl HS English 1 -0.35057 0.12060 -2.91 0.0039
totscore Total # right on diagnostic test 1 0.98964 0.25277 3.92 0.0001

Prediction of Performance in First-year Calculus

Residual analysis

Model H: hsgpa hscalc hsengl totscore

The REG Procedure

Model: MODEL1

Dependent Variable: grade Final mark (if any)

Observation-wise Statistics

grade

Residual Plots

Panel 1

Panel of scatterplots of residuals by regressors for grade.

Prediction of Performance in First-year Calculus

Residual analysis

Critical value for Joint t-test on Studentized Residuals

The IML Procedure

Alpha

Alpha
0.000173

Critval

Critval
3.8061889

Prediction of Performance in First-year Calculus

Residual analysis

Critical value for Joint t-test on Studentized Residuals

The UNIVARIATE Procedure

Variable: delstud (Studentized Residual without Current Obs)

The Univariate Procedure

delstud

Moments

Moments
N 289 Sum Weights 289
Mean -0.0011771 Sum Observations -0.3401753
Std Deviation 1.00731084 Variance 1.01467513
Skewness -0.713887 Kurtosis 0.96443899
Uncorrected SS 292.226839 Corrected SS 292.226439
Coeff Variation -85577.292 Std Error Mean 0.05925358

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean -0.00118 Std Deviation 1.00731
Median 0.11240 Variance 1.01468
Mode . Range 5.89310
    Interquartile Range 1.20788

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.01987 Pr > |t| 0.9842
Sign M 11.5 Pr >= |M| 0.1955
Signed Rank S 1596.5 Pr >= |S| 0.2623

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.969104 Pr < W <0.0001
Kolmogorov-Smirnov D 0.074472 Pr > D <0.0100
Cramer-von Mises W-Sq 0.337202 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 2.194223 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 2.323174
99% 1.987284
95% 1.486004
90% 1.176567
75% Q3 0.673189
50% Median 0.112403
25% Q1 -0.534687
10% -1.372680
5% -1.940896
1% -3.094794
0% Min -3.569924

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
-3.56992 176 1.94864 203
-3.47647 9 1.96744 520
-3.09479 195 1.98728 2
-2.90412 167 1.99076 489
-2.63924 36 2.32317 146

Missing Values

Missing Values
Missing
Value
Count Percent Of
All Obs Missing Obs
. 290 50.09 100.00

Plots for delstud

Plots for delstud

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure

The SGPlot Procedure