| Chapter 11 : State SAT scores for 1982 |
| Data Listing |
| Obs | state | SAT | TAKERS | INCOME | YEARS | PUBLIC | EXPEND | RANK |
|---|---|---|---|---|---|---|---|---|
| 1 | Iowa | 1088 | 3 | 326 | 16.7900 | 87.8000 | 25.6000 | 89.7000 |
| 2 | SouthDakota | 1075 | 2 | 264 | 16.0700 | 86.2000 | 19.9500 | 90.6000 |
| 3 | NorthDakota | 1068 | 3 | 317 | 16.5700 | 88.3000 | 20.6200 | 89.8000 |
| 4 | Kansas | 1045 | 5 | 338 | 16.3000 | 83.9000 | 27.1400 | 86.3000 |
| 5 | Nebraska | 1045 | 5 | 293 | 17.2500 | 83.6000 | 21.0500 | 88.5000 |
| 6 | Montana | 1033 | 8 | 263 | 15.9100 | 93.7000 | 29.4800 | 86.4000 |
| 7 | Minnesota | 1028 | 7 | 343 | 17.4100 | 78.3000 | 24.8400 | 83.4000 |
| 8 | Utah | 1022 | 4 | 333 | 16.5700 | 75.2000 | 17.4200 | 85.9000 |
| 9 | Wyoming | 1017 | 5 | 328 | 16.0100 | 97.0000 | 25.9600 | 87.5000 |
| 10 | Wisconsin | 1011 | 10 | 304 | 16.8500 | 77.3000 | 27.6900 | 84.2000 |
| 11 | Oklahoma | 1001 | 5 | 358 | 15.9500 | 74.2000 | 20.0700 | 85.6000 |
| 12 | Arkansas | 999 | 4 | 295 | 15.4900 | 86.4000 | 15.7100 | 89.2000 |
| 13 | Tennessee | 999 | 9 | 330 | 15.7200 | 61.2000 | 14.5800 | 83.4000 |
| 14 | NewMexico | 997 | 8 | 316 | 15.9200 | 79.5000 | 22.1900 | 83.7000 |
| 15 | Idaho | 995 | 7 | 285 | 16.1800 | 92.1000 | 17.8000 | 85.9000 |
| 16 | Mississippi | 988 | 3 | 315 | 16.7600 | 67.9000 | 15.3600 | 90.1000 |
| 17 | Kentucky | 985 | 6 | 330 | 16.6100 | 71.4000 | 15.6900 | 86.4000 |
| 18 | Colorado | 983 | 16 | 333 | 16.8300 | 88.3000 | 26.5600 | 81.8000 |
| 19 | Washington | 982 | 19 | 309 | 16.2300 | 87.5000 | 26.5300 | 83.2000 |
| 20 | Arizona | 981 | 11 | 314 | 15.9800 | 80.9000 | 19.1400 | 84.3000 |
| 21 | Illinois | 977 | 14 | 347 | 15.8000 | 74.6000 | 24.4100 | 78.7000 |
| 22 | Louisiana | 975 | 5 | 394 | 16.8500 | 44.8000 | 19.7200 | 82.9000 |
| 23 | Missouri | 975 | 10 | 322 | 16.4200 | 67.7000 | 20.7900 | 80.6000 |
| 24 | Michigan | 973 | 10 | 335 | 16.5000 | 80.7000 | 24.6100 | 81.8000 |
| 25 | WestVirginia | 968 | 7 | 292 | 17.0800 | 90.6000 | 18.1600 | 86.2000 |
| 26 | Alabama | 964 | 6 | 313 | 16.3700 | 69.6000 | 13.8400 | 83.9000 |
| 27 | Ohio | 958 | 16 | 306 | 16.5200 | 71.5000 | 21.4300 | 79.5000 |
| 28 | NewHampshire | 925 | 56 | 248 | 16.3500 | 78.1000 | 20.3300 | 73.6000 |
| 29 | Alaska | 923 | 31 | 401 | 15.3200 | 96.5000 | 50.1000 | 79.6000 |
| 30 | Nevada | 917 | 18 | 288 | 14.7300 | 89.1000 | 21.7900 | 81.1000 |
| 31 | Oregon | 908 | 40 | 261 | 14.4800 | 92.1000 | 30.4900 | 79.3000 |
| 32 | Vermont | 904 | 54 | 225 | 16.5000 | 84.2000 | 20.1700 | 75.8000 |
| 33 | California | 899 | 36 | 293 | 15.5200 | 83.0000 | 25.9400 | 77.5000 |
| 34 | Delaware | 897 | 42 | 277 | 16.9500 | 67.9000 | 27.8100 | 71.4000 |
| 35 | Connecticut | 896 | 69 | 287 | 16.7500 | 76.8000 | 26.9700 | 69.8000 |
| 36 | NewYork | 896 | 59 | 236 | 16.8600 | 80.4000 | 33.5800 | 70.5000 |
| 37 | Maine | 890 | 46 | 208 | 16.0500 | 85.7000 | 20.5500 | 74.6000 |
| 38 | Florida | 889 | 39 | 255 | 15.9100 | 80.5000 | 22.6200 | 74.6000 |
| 39 | Maryland | 889 | 50 | 312 | 16.9000 | 80.4000 | 25.4100 | 71.5000 |
| 40 | Virginia | 888 | 52 | 295 | 16.0800 | 88.8000 | 22.2300 | 72.4000 |
| 41 | Massachusetts | 888 | 65 | 246 | 16.7900 | 80.7000 | 31.7400 | 69.9000 |
| 42 | Pennsylvania | 885 | 50 | 241 | 17.2700 | 78.6000 | 27.9800 | 73.4000 |
| 43 | RhodeIsland | 877 | 59 | 228 | 16.6700 | 79.7000 | 25.5900 | 71.4000 |
| 44 | NewJersey | 869 | 64 | 269 | 16.3700 | 80.6000 | 27.9100 | 69.8000 |
| 45 | Texas | 868 | 32 | 303 | 14.9500 | 91.7000 | 19.5500 | 76.4000 |
| 46 | Indiana | 860 | 48 | 258 | 14.3900 | 90.2000 | 17.9300 | 74.1000 |
| 47 | Hawaii | 857 | 47 | 277 | 16.4000 | 67.6000 | 21.2100 | 69.9000 |
| 48 | NorthCarolina | 827 | 47 | 224 | 15.3100 | 92.8000 | 19.9200 | 75.3000 |
| 49 | Georgia | 823 | 51 | 250 | 15.5500 | 86.5000 | 16.5200 | 74.0000 |
| 50 | SouthCarolina | 790 | 48 | 214 | 15.4200 | 88.1000 | 15.6000 | 74.0000 |
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 6 | 216168 | 36028 | 51.91 | <.0001 |
| Error | 43 | 29842 | 694.00969 | ||
| Corrected Total | 49 | 246011 | |||
| Root MSE | 26.34406 | R-Square | 0.8787 |
|---|---|---|---|
| Dependent Mean | 947.94000 | Adj R-Sq | 0.8618 |
| Coeff Var | 2.77909 |
| Parameter Estimates | ||||||
|---|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| | Variance Inflation |
| Intercept | 1 | -94.65897 | 211.50956 | -0.45 | 0.6567 | 0 |
| TAKERS | 1 | -0.48008 | 0.69371 | -0.69 | 0.4926 | 16.47863 |
| INCOME | 1 | -0.00820 | 0.15236 | -0.05 | 0.9574 | 3.12885 |
| YEARS | 1 | 22.61007 | 6.31458 | 3.58 | 0.0009 | 1.37941 |
| PUBLIC | 1 | -0.46415 | 0.57910 | -0.80 | 0.4272 | 2.28840 |
| EXPEND | 1 | 2.21201 | 0.84597 | 2.61 | 0.0123 | 1.90799 |
| RANK | 1 | 8.47622 | 2.10781 | 4.02 | 0.0002 | 13.34739 |
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
---+----------+----------+----------+----------+----------+----------+----------+----------+---
60 + +
| |
| |
| 1 |
| |
40 + +
| 1 1 1 |
| 1 1 |
| 1 1 1 |
| 1 |
20 + 1 +
| 1 1 |
SAT | 1 1 1 |
| 1 |
| 1 1 11 1 1 1 |
0 + 1 1 1 1 1 1 +
| 11 1 1 |
| 1 1 1 1 1 |
| 1 |
| 1 |
-20 + +
| 1 |
| |
| 1 1 1 |
| |
-40 + 1 +
| 1 |
| 1 |
| |
| 1 |
-60 + 1 +
---+----------+----------+----------+----------+----------+----------+----------+----------+---
-0.04 -0.03 -0.02 -0.01 0.00 0.01 0.02 0.03 0.04
Intercept
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
-----+------+------+------+------+------+------+------+------+------+------+------+------+-----
SAT | |
60 + +
| |
| |
| |
40 + 1 1 +
| 1 1 |
| 1 1 |
| 1 1 1 1 1 |
20 + 1 +
| 1 |
| 1 1 1 1 1 |
| 1 1 1 1 1 1 |
0 + 1 11 1 1 12 1 +
| 1 1 1 1 1 1 |
| |
| 1 1 |
-20 + +
| 1 |
| 1 |
| 1 1 |
-40 + 1 +
| 1 |
| |
| 1 |
-60 + 1 +
| 1 |
| |
| |
-80 + +
| |
-----+------+------+------+------+------+------+------+------+------+------+------+------+-----
-10 -8 -6 -4 -2 0 2 4 6 8 10 12 14
TAKERS
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
-----+------+------+------+------+------+------+------+------+------+------+------+------+-----
60 + +
| |
| |
| 1 |
| |
40 + +
| 1 1 1 |
| 1 1 |
| 1 1 |
| 1 1 |
20 + 1 +
| 1 1 |
SAT | 1 1 |
| 1 1 1 |
| 1 11 1 1 1 |
0 + 111 1 1 1 +
| 1 1 11 1 1 |
| 1 1 1 |
| 1 |
| 1 |
-20 + +
| 1 |
| |
| 1 1 1 |
| |
-40 + 1 +
| |
| 1 |
| 1 |
| |
-60 + 1 1 +
-----+------+------+------+------+------+------+------+------+------+------+------+------+-----
-60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60
INCOME
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
-------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-------
SAT | |
60 + +
| |
| 1 |
| |
40 + 1 1 +
| 11 1 |
| 11 |
| 1 1 |
20 + 11 +
| 1 1 11 |
| 1 11 11 |
| 1 1 1 1 2 |
0 + 1 1 1 1 1 +
| 1 1 1 |
| |
| 1 1 1 1 |
-20 + 1 1 +
| |
| 1 1 |
| 1 |
-40 + 1 +
| 1 |
| 1 |
| |
-60 + 1 +
| 1 |
| 1 |
| |
-80 + +
| |
-------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-------
-1.8 -1.6 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
YEARS
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----
60 + +
| |
| |
| 1 |
| |
40 + 1 1 +
| 1 |
| 1 |
| 11 |
| 1 1 |
20 + 1 1 +
| 1 1 |
SAT | 11 1 |
| 1 1 1 1 1 |
| 1 1 1 |
0 + 1 2 1 11 +
| 1 1 1 11 1 |
| 1 |
| 1 1 1 |
| 1 |
-20 + +
| 1 1 |
| |
| 1 1 |
| |
-40 + 1 +
| |
| |
| 1 1 1 |
| |
-60 + 1 +
----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----
-20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14
PUBLIC
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
--------+------+------+------+------+------+------+------+------+------+------+------+---------
SAT | |
60 + +
| |
| |
| 1 |
40 + 1 1 1 +
| 1 1 |
| 1 |
| 1 1 |
20 + 1 1 1 1 1 +
| |
| 1 1 1 1 1 |
| 1 1 1 11 1 |
0 + 12 1 11 +
| 1 11 |
| 1 11 1 1 |
| |
-20 + 1 +
| 1 1 1 |
| 1 |
| 1 |
-40 + +
| 1 1 |
| |
| |
-60 + 1 1 +
| |
| 1 |
| |
-80 + +
| |
--------+------+------+------+------+------+------+------+------+------+------+------+---------
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
EXPEND
|
| Chapter 11 : State SAT scores for 1982 |
| Fit of SAT with REG |
----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----
75 + +
| |
| 1 |
| 1 |
| 1 |
50 + 1 +
| 1 1 |
| |
| |
| 1 1 |
25 + 1 1 +
| 1 2 |
SAT | 1 1 1 1 |
| 1 |
| 1 1 1 1 1 |
0 + 1 1 1 +
| 1 1 |
| 1 1 1 1 |
| 1 1 1 |
| 1 1 1 1 1 |
-25 + 1 1 1 +
| 1 1 |
| 1 1 |
| 1 |
| |
-50 + +
| 1 |
| |
| |
| 1 |
-75 + +
----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----
-3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
RANK
|
| Chapter 11 : State SAT scores for 1982 |
| Forward selection stepwise regression |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 1 | 190471 | 190471 | 164.62 | <.0001 |
| Error | 48 | 55539 | 1157.07070 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | 183.41869 | 59.78129 | 10892 | 9.41 | 0.0035 |
| RANK | 9.55795 | 0.74495 | 190471 | 164.62 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 2 | 208385 | 104192 | 130.15 | <.0001 |
| Error | 47 | 37626 | 800.54988 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -243.93083 | 103.12221 | 4479.37428 | 5.60 | 0.0222 |
| YEARS | 27.38289 | 5.78872 | 17914 | 22.38 | <.0001 |
| RANK | 9.35160 | 0.62118 | 181437 | 226.64 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 214303 | 71434 | 103.63 | <.0001 |
| Error | 46 | 31708 | 689.30879 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -303.72425 | 97.84154 | 6642.41862 | 9.64 | 0.0033 |
| YEARS | 26.09522 | 5.38945 | 16160 | 23.44 | <.0001 |
| EXPEND | 1.86087 | 0.63511 | 5917.64030 | 8.58 | 0.0053 |
| RANK | 9.82580 | 0.59870 | 185667 | 269.35 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 4 | 215765 | 53941 | 80.25 | <.0001 |
| Error | 45 | 30246 | 672.12769 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -204.59819 | 117.68711 | 2031.40994 | 3.02 | 0.0890 |
| YEARS | 21.89047 | 6.03718 | 8836.76106 | 13.15 | 0.0007 |
| PUBLIC | -0.66380 | 0.45001 | 1462.45814 | 2.18 | 0.1472 |
| EXPEND | 2.24164 | 0.67819 | 7343.09123 | 10.93 | 0.0019 |
| RANK | 10.00317 | 0.60329 | 184786 | 274.93 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 5 | 216166 | 43233 | 63.74 | <.0001 |
| Error | 44 | 29844 | 678.28238 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -100.47360 | 179.72555 | 211.97998 | 0.31 | 0.5790 |
| TAKERS | -0.46208 | 0.60073 | 401.32149 | 0.59 | 0.4459 |
| YEARS | 22.66880 | 6.14859 | 9219.68008 | 13.59 | 0.0006 |
| PUBLIC | -0.45226 | 0.52914 | 495.49979 | 0.73 | 0.3973 |
| EXPEND | 2.18591 | 0.68513 | 6904.41715 | 10.18 | 0.0026 |
| RANK | 8.49641 | 2.05047 | 11646 | 17.17 | 0.0002 |
| Summary of Forward Selection | |||||||
|---|---|---|---|---|---|---|---|
| Step | Variable Entered |
Number Vars In |
Partial R-Square |
Model R-Square |
C(p) | F Value | Pr > F |
| 1 | RANK | 1 | 0.7742 | 0.7742 | 34.0268 | 164.62 | <.0001 |
| 2 | YEARS | 2 | 0.0728 | 0.8471 | 10.2152 | 22.38 | <.0001 |
| 3 | EXPEND | 3 | 0.0241 | 0.8711 | 3.6884 | 8.58 | 0.0053 |
| 4 | PUBLIC | 4 | 0.0059 | 0.8771 | 3.5812 | 2.18 | 0.1472 |
| 5 | TAKERS | 5 | 0.0016 | 0.8787 | 5.0029 | 0.59 | 0.4459 |
| Chapter 11 : State SAT scores for 1982 |
| Backward elimination stepwise regression |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 6 | 216168 | 36028 | 51.91 | <.0001 |
| Error | 43 | 29842 | 694.00969 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -94.65897 | 211.50956 | 139.00459 | 0.20 | 0.6567 |
| TAKERS | -0.48008 | 0.69371 | 332.38174 | 0.48 | 0.4926 |
| INCOME | -0.00820 | 0.15236 | 2.00790 | 0.00 | 0.9574 |
| YEARS | 22.61007 | 6.31458 | 8897.76835 | 12.82 | 0.0009 |
| PUBLIC | -0.46415 | 0.57910 | 445.83415 | 0.64 | 0.4272 |
| EXPEND | 2.21201 | 0.84597 | 4744.88313 | 6.84 | 0.0123 |
| RANK | 8.47622 | 2.10781 | 11223 | 16.17 | 0.0002 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 5 | 216166 | 43233 | 63.74 | <.0001 |
| Error | 44 | 29844 | 678.28238 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -100.47360 | 179.72555 | 211.97998 | 0.31 | 0.5790 |
| TAKERS | -0.46208 | 0.60073 | 401.32149 | 0.59 | 0.4459 |
| YEARS | 22.66880 | 6.14859 | 9219.68008 | 13.59 | 0.0006 |
| PUBLIC | -0.45226 | 0.52914 | 495.49979 | 0.73 | 0.3973 |
| EXPEND | 2.18591 | 0.68513 | 6904.41715 | 10.18 | 0.0026 |
| RANK | 8.49641 | 2.05047 | 11646 | 17.17 | 0.0002 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 4 | 215765 | 53941 | 80.25 | <.0001 |
| Error | 45 | 30246 | 672.12769 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -204.59819 | 117.68711 | 2031.40994 | 3.02 | 0.0890 |
| YEARS | 21.89047 | 6.03718 | 8836.76106 | 13.15 | 0.0007 |
| PUBLIC | -0.66380 | 0.45001 | 1462.45814 | 2.18 | 0.1472 |
| EXPEND | 2.24164 | 0.67819 | 7343.09123 | 10.93 | 0.0019 |
| RANK | 10.00317 | 0.60329 | 184786 | 274.93 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 214303 | 71434 | 103.63 | <.0001 |
| Error | 46 | 31708 | 689.30879 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -303.72425 | 97.84154 | 6642.41862 | 9.64 | 0.0033 |
| YEARS | 26.09522 | 5.38945 | 16160 | 23.44 | <.0001 |
| EXPEND | 1.86087 | 0.63511 | 5917.64030 | 8.58 | 0.0053 |
| RANK | 9.82580 | 0.59870 | 185667 | 269.35 | <.0001 |
| Summary of Backward Elimination | |||||||
|---|---|---|---|---|---|---|---|
| Step | Variable Removed |
Number Vars In |
Partial R-Square |
Model R-Square |
C(p) | F Value | Pr > F |
| 1 | INCOME | 5 | 0.0000 | 0.8787 | 5.0029 | 0.00 | 0.9574 |
| 2 | TAKERS | 4 | 0.0016 | 0.8771 | 3.5812 | 0.59 | 0.4459 |
| 3 | PUBLIC | 3 | 0.0059 | 0.8711 | 3.6884 | 2.18 | 0.1472 |
| Chapter 11 : State SAT scores for 1982 |
| Stepwise regression |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 1 | 190471 | 190471 | 164.62 | <.0001 |
| Error | 48 | 55539 | 1157.07070 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | 183.41869 | 59.78129 | 10892 | 9.41 | 0.0035 |
| RANK | 9.55795 | 0.74495 | 190471 | 164.62 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 2 | 208385 | 104192 | 130.15 | <.0001 |
| Error | 47 | 37626 | 800.54988 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -243.93083 | 103.12221 | 4479.37428 | 5.60 | 0.0222 |
| YEARS | 27.38289 | 5.78872 | 17914 | 22.38 | <.0001 |
| RANK | 9.35160 | 0.62118 | 181437 | 226.64 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 214303 | 71434 | 103.63 | <.0001 |
| Error | 46 | 31708 | 689.30879 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -303.72425 | 97.84154 | 6642.41862 | 9.64 | 0.0033 |
| YEARS | 26.09522 | 5.38945 | 16160 | 23.44 | <.0001 |
| EXPEND | 1.86087 | 0.63511 | 5917.64030 | 8.58 | 0.0053 |
| RANK | 9.82580 | 0.59870 | 185667 | 269.35 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 4 | 215765 | 53941 | 80.25 | <.0001 |
| Error | 45 | 30246 | 672.12769 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -204.59819 | 117.68711 | 2031.40994 | 3.02 | 0.0890 |
| YEARS | 21.89047 | 6.03718 | 8836.76106 | 13.15 | 0.0007 |
| PUBLIC | -0.66380 | 0.45001 | 1462.45814 | 2.18 | 0.1472 |
| EXPEND | 2.24164 | 0.67819 | 7343.09123 | 10.93 | 0.0019 |
| RANK | 10.00317 | 0.60329 | 184786 | 274.93 | <.0001 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 214303 | 71434 | 103.63 | <.0001 |
| Error | 46 | 31708 | 689.30879 | ||
| Corrected Total | 49 | 246011 | |||
| Variable | Parameter Estimate |
Standard Error |
Type II SS | F Value | Pr > F |
|---|---|---|---|---|---|
| Intercept | -303.72425 | 97.84154 | 6642.41862 | 9.64 | 0.0033 |
| YEARS | 26.09522 | 5.38945 | 16160 | 23.44 | <.0001 |
| EXPEND | 1.86087 | 0.63511 | 5917.64030 | 8.58 | 0.0053 |
| RANK | 9.82580 | 0.59870 | 185667 | 269.35 | <.0001 |
| Summary of Stepwise Selection | ||||||||
|---|---|---|---|---|---|---|---|---|
| Step | Variable Entered |
Variable Removed |
Number Vars In |
Partial R-Square |
Model R-Square |
C(p) | F Value | Pr > F |
| 1 | RANK | 1 | 0.7742 | 0.7742 | 34.0268 | 164.62 | <.0001 | |
| 2 | YEARS | 2 | 0.0728 | 0.8471 | 10.2152 | 22.38 | <.0001 | |
| 3 | EXPEND | 3 | 0.0241 | 0.8711 | 3.6884 | 8.58 | 0.0053 | |
| 4 | PUBLIC | 4 | 0.0059 | 0.8771 | 3.5812 | 2.18 | 0.1472 | |
| 5 | PUBLIC | 3 | 0.0059 | 0.8711 | 3.6884 | 2.18 | 0.1472 | |
| Chapter 11 : State SAT scores for 1982 |
| Reduced model with diagnostics |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Analysis of Variance | |||||
|---|---|---|---|---|---|
| Source | DF | Sum of Squares |
Mean Square |
F Value | Pr > F |
| Model | 3 | 214303 | 71434 | 103.63 | <.0001 |
| Error | 46 | 31708 | 689.30879 | ||
| Corrected Total | 49 | 246011 | |||
| Root MSE | 26.25469 | R-Square | 0.8711 |
|---|---|---|---|
| Dependent Mean | 947.94000 | Adj R-Sq | 0.8627 |
| Coeff Var | 2.76966 |
| Parameter Estimates | ||||||
|---|---|---|---|---|---|---|
| Variable | DF | Parameter Estimate |
Standard Error |
t Value | Pr > |t| | Variance Inflation |
| Intercept | 1 | -303.72425 | 97.84154 | -3.10 | 0.0033 | 0 |
| YEARS | 1 | 26.09522 | 5.38945 | 4.84 | <.0001 | 1.01168 |
| EXPEND | 1 | 1.86087 | 0.63511 | 2.93 | 0.0053 | 1.08271 |
| RANK | 1 | 9.82580 | 0.59870 | 16.41 | <.0001 | 1.08418 |
| Chapter 11 : State SAT scores for 1982 |
| Reduced model with diagnostics |
| Obs | state | SAT | yhat | resid | student | rstudent | cookd | leverage | dffits |
|---|---|---|---|---|---|---|---|---|---|
| 1 | Iowa | 1088 | 1063.43 | 24.5735 | 0.98062 | 0.98020 | 0.02348 | 0.08899 | 0.30636 |
| 2 | SouthDakota | 1075 | 1042.97 | 32.0328 | 1.26930 | 1.27800 | 0.03315 | 0.07605 | 0.36666 |
| 3 | NorthDakota | 1068 | 1049.40 | 18.5990 | 0.73443 | 0.73070 | 0.01009 | 0.06963 | 0.19989 |
| 4 | Kansas | 1045 | 1020.10 | 24.9021 | 0.97742 | 0.97693 | 0.01480 | 0.05833 | 0.24315 |
| 5 | Nebraska | 1045 | 1055.17 | -10.1724 | -0.40723 | -0.40351 | 0.00434 | 0.09480 | -0.13059 |
| 6 | Montana | 1033 | 1015.26 | 17.7423 | 0.70671 | 0.70281 | 0.01169 | 0.08563 | 0.21507 |
| 7 | Minnesota | 1028 | 1016.29 | 11.7112 | 0.46645 | 0.46245 | 0.00509 | 0.08552 | 0.14142 |
| 8 | Utah | 1022 | 1005.13 | 16.8744 | 0.66001 | 0.65591 | 0.00594 | 0.05171 | 0.15317 |
| 9 | Wyoming | 1017 | 1022.13 | -5.1254 | -0.20186 | -0.19974 | 0.00070 | 0.06471 | -0.05254 |
| 10 | Wisconsin | 1011 | 1014.84 | -3.8395 | -0.15090 | -0.14929 | 0.00037 | 0.06081 | -0.03799 |
| 11 | Oklahoma | 1001 | 990.93 | 10.0699 | 0.39143 | 0.38780 | 0.00159 | 0.03988 | 0.07903 |
| 12 | Arkansas | 999 | 1006.19 | -7.1858 | -0.28820 | -0.28531 | 0.00226 | 0.09812 | -0.09410 |
| 13 | Tennessee | 999 | 953.10 | 45.9046 | 1.80996 | 1.85754 | 0.05865 | 0.06683 | 0.49709 |
| 14 | NewMexico | 997 | 975.42 | 21.5767 | 0.83482 | 0.83202 | 0.00556 | 0.03090 | 0.14857 |
| 15 | Idaho | 995 | 995.66 | -0.6557 | -0.02555 | -0.02527 | 0.00001 | 0.04474 | -0.00547 |
| 16 | Mississippi | 988 | 1047.52 | -59.5187 | -2.38378 | -2.51840 | 0.15016 | 0.09560 | -0.81878 |
| 17 | Kentucky | 985 | 1007.86 | -22.8631 | -0.90078 | -0.89890 | 0.01420 | 0.06542 | -0.23783 |
| 18 | Colorado | 983 | 988.63 | -5.6330 | -0.21951 | -0.21723 | 0.00056 | 0.04470 | -0.04699 |
| 19 | Washington | 982 | 986.68 | -4.6761 | -0.18141 | -0.17949 | 0.00031 | 0.03612 | -0.03474 |
| 20 | Arizona | 981 | 977.21 | 3.7911 | 0.14704 | 0.14547 | 0.00020 | 0.03564 | 0.02797 |
| 21 | Illinois | 977 | 927.29 | 49.7060 | 1.92091 | 1.98103 | 0.02718 | 0.02862 | 0.34005 |
| 22 | Louisiana | 975 | 987.23 | -12.2349 | -0.47691 | -0.47287 | 0.00269 | 0.04518 | -0.10286 |
| 23 | Missouri | 975 | 955.41 | 19.5943 | 0.75571 | 0.75213 | 0.00362 | 0.02470 | 0.11970 |
| 24 | Michigan | 973 | 976.39 | -3.3929 | -0.13100 | -0.12960 | 0.00012 | 0.02691 | -0.02155 |
| 25 | WestVirginia | 968 | 1022.76 | -54.7589 | -2.16916 | -2.26439 | 0.09605 | 0.07549 | -0.64705 |
| 26 | Alabama | 964 | 973.59 | -9.5931 | -0.37844 | -0.37489 | 0.00260 | 0.06779 | -0.10110 |
| 27 | Ohio | 958 | 948.40 | 9.6021 | 0.37064 | 0.36714 | 0.00093 | 0.02631 | 0.06035 |
| 28 | NewHampshire | 925 | 883.94 | 41.0575 | 1.60630 | 1.63526 | 0.03552 | 0.05219 | 0.38374 |
| 29 | Alaska | 923 | 971.42 | -48.4172 | -2.60892 | -2.79550 | 1.70402 | 0.50035 | -2.79748 |
| 30 | Nevada | 917 | 918.08 | -1.0786 | -0.04363 | -0.04315 | 0.00006 | 0.11323 | -0.01542 |
| 31 | Oregon | 908 | 910.06 | -2.0579 | -0.08695 | -0.08601 | 0.00044 | 0.18737 | -0.04130 |
| 32 | Vermont | 904 | 909.18 | -5.1758 | -0.20146 | -0.19935 | 0.00045 | 0.04243 | -0.04196 |
| 33 | California | 899 | 911.04 | -12.0436 | -0.46976 | -0.46574 | 0.00269 | 0.04643 | -0.10277 |
| 34 | Delaware | 897 | 891.90 | 5.0978 | 0.20301 | 0.20088 | 0.00096 | 0.08522 | 0.06131 |
| 35 | Connecticut | 896 | 869.40 | 26.6012 | 1.06001 | 1.06147 | 0.02656 | 0.08637 | 0.32637 |
| 36 | NewYork | 896 | 891.45 | 4.5524 | 0.18485 | 0.18290 | 0.00117 | 0.12013 | 0.06758 |
| 37 | Maine | 890 | 886.35 | 3.6509 | 0.14210 | 0.14058 | 0.00022 | 0.04243 | 0.02959 |
| 38 | Florida | 889 | 886.55 | 2.4522 | 0.09523 | 0.09420 | 0.00009 | 0.03806 | 0.01874 |
| 39 | Maryland | 889 | 887.11 | 1.8861 | 0.07483 | 0.07402 | 0.00012 | 0.07842 | 0.02159 |
| 40 | Virginia | 888 | 868.64 | 19.3585 | 0.75718 | 0.75361 | 0.00782 | 0.05173 | 0.17601 |
| 41 | Massachusetts | 888 | 880.30 | 7.6985 | 0.31022 | 0.30715 | 0.00287 | 0.10657 | 0.10608 |
| 42 | Pennsylvania | 885 | 920.22 | -35.2206 | -1.41124 | -1.42705 | 0.05311 | 0.09639 | -0.46609 |
| 43 | RhodeIsland | 877 | 880.46 | -3.4644 | -0.13661 | -0.13514 | 0.00033 | 0.06694 | -0.03620 |
| 44 | NewJersey | 869 | 861.23 | 7.7682 | 0.30765 | 0.30460 | 0.00192 | 0.07507 | 0.08678 |
| 45 | Texas | 868 | 873.47 | -5.4700 | -0.21921 | -0.21693 | 0.00129 | 0.09672 | -0.07099 |
| 46 | Indiana | 860 | 833.24 | 26.7573 | 1.12875 | 1.13220 | 0.07219 | 0.18478 | 0.53903 |
| 47 | Hawaii | 857 | 850.53 | 6.4706 | 0.25743 | 0.25480 | 0.00151 | 0.08342 | 0.07687 |
| 48 | NorthCarolina | 827 | 872.74 | -45.7444 | -1.80617 | -1.85336 | 0.06086 | 0.06944 | -0.50627 |
| 49 | Georgia | 823 | 859.91 | -36.9068 | -1.47039 | -1.48975 | 0.05088 | 0.08603 | -0.45707 |
| 50 | SouthCarolina | 790 | 854.80 | -64.8024 | -2.60336 | -2.78852 | 0.19062 | 0.10113 | -0.93531 |
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of resid*yhat. Symbol is value of state.
resid |
|
60 +
|
|
| I
| T
|
40 + N
|
| S
|
| I C
| K I
20 + V M N N
| U M
| M
| O O
| H N M D
| M N A
0 +----------------------------------------------N----------------------------------I----------------------------------------
| R O M W W
| T V C A W
| A N
| C L
|
-20 +
| K
|
|
|
| G P
-40 +
|
| N
| A
| W
|
-60 + M
| S
|
|
|
|
-80 +
|
---+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--------+--
820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080
yhat
NOTE: 2 obs hidden.
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of student*state. Legend: A = 1 obs, B = 2 obs, etc.
student |
2 +--------------------------A---------------------------------------------------------A------------------
| A
| A A A
| A A A A A A A A
| A A A A A A A
0 + A A A A A A A A A A A A
| A A A A A A A A A
| A
|
| A A
-2 +------------------------------------------------------------------A-----------------------------A------
| A
| A A
|
|
-4 +
---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--
A A A A C C C D F G H I I I I K K L M M M M M M M M N N N N N N N N O O O P R S S T T U V V W W W W
l l r r a o o e l e a d l n o a e o a a a i i i i o e e e e e e o o h k r e h o o e e t e i a e i y
a a i k l l n l o o w a l d w n n u i r s c n s s n b v w w w w r r i l e n o u u n x a r r s s s o
b s z a i o n a r r a h i i a s t i n y s h n s s t r a H J M Y t t o a g n d t t n a h m g h t c m
a k o n f r e w i g i o n a a u s e l a i e i o a a d a e e o h h h o s e h h e s o i i V o i
m a n s o a c a d i i o n s c i a c g s s u n s a m r x r C D o n y I C D s n n n i n n
a a a r d t r a a i a k a n h a o s r a k p s i k a a m l s a a s t i g r s g
s n o i e s y n d u n t i i a s e c r k a v l r k e a t g i
i c a s a p h y o o o a a o o e o i n
a u e p i l t n n l t n n
t t i r i a i d i a i
t e n a n a
s a a
state
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of rstudent*state. Legend: A = 1 obs, B = 2 obs, etc.
rstudent |
2 +--------------------------A---------------------------------------------------------A------------------
| A
| A A A
| A A A A A A A A
| A A A A A A A
0 + A A A A A A A A A A A A A A
| A A A A A A A
| A
|
| A A
-2 +------------------------------------------------------------------A------------------------------------
| A A
| A A
|
|
-4 +
---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--
A A A A C C C D F G H I I I I K K L M M M M M M M M N N N N N N N N O O O P R S S T T U V V W W W W
l l r r a o o e l e a d l n o a e o a a a i i i i o e e e e e e o o h k r e h o o e e t e i a e i y
a a i k l l n l o o w a l d w n n u i r s c n s s n b v w w w w r r i l e n o u u n x a r r s s s o
b s z a i o n a r r a h i i a s t i n y s h n s s t r a H J M Y t t o a g n d t t n a h m g h t c m
a k o n f r e w i g i o n a a u s e l a i e i o a a d a e e o h h h o s e h h e s o i i V o i
m a n s o a c a d i i o n s c i a c g s s u n s a m r x r C D o n y I C D s n n n i n n
a a a r d t r a a i a k a n h a o s r a k p s i k a a m l s a a s t i g r s g
s n o i e s y n d u n t i i a s e c r k a v l r k e a t g i
i c a s a p h y o o o a a o o e o i n
a u e p i l t n n l t n n
t t i r i a i d i a i
t e n a n a
s a a
state
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of leverage*state. Legend: A = 1 obs, B = 2 obs, etc.
leverage |
0.6 +
|
| A
|
|
0.4 +
|
|
|
|
0.2 + A A
|-------------------------------------------------------------------------------------------------------
| A A A A
| A A A A A A A A A A A A A A A A A A A A A A A A
| A A A A A A A A A A A A A A A A A A A
0.0 +
---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--
A A A A C C C D F G H I I I I K K L M M M M M M M M N N N N N N N N O O O P R S S T T U V V W W W W
l l r r a o o e l e a d l n o a e o a a a i i i i o e e e e e e o o h k r e h o o e e t e i a e i y
a a i k l l n l o o w a l d w n n u i r s c n s s n b v w w w w r r i l e n o u u n x a r r s s s o
b s z a i o n a r r a h i i a s t i n y s h n s s t r a H J M Y t t o a g n d t t n a h m g h t c m
a k o n f r e w i g i o n a a u s e l a i e i o a a d a e e o h h h o s e h h e s o i i V o i
m a n s o a c a d i i o n s c i a c g s s u n s a m r x r C D o n y I C D s n n n i n n
a a a r d t r a a i a k a n h a o s r a k p s i k a a m l s a a s t i g r s g
s n o i e s y n d u n t i i a s e c r k a v l r k e a t g i
i c a s a p h y o o o a a o o e o i n
a u e p i l t n n l t n n
t t i r i a i d i a i
t e n a n a
s a a
state
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of cookd*state. Legend: A = 1 obs, B = 2 obs, etc.
2 +
|
| A
|
cookd |
|
|
|
1 +-------------------------------------------------------------------------------------------------------
|
|
|
|
|
| A
| A A A
0 + A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--
A A A A C C C D F G H I I I I K K L M M M M M M M M N N N N N N N N O O O P R S S T T U V V W W W W
l l r r a o o e l e a d l n o a e o a a a i i i i o e e e e e e o o h k r e h o o e e t e i a e i y
a a i k l l n l o o w a l d w n n u i r s c n s s n b v w w w w r r i l e n o u u n x a r r s s s o
b s z a i o n a r r a h i i a s t i n y s h n s s t r a H J M Y t t o a g n d t t n a h m g h t c m
a k o n f r e w i g i o n a a u s e l a i e i o a a d a e e o h h h o s e h h e s o i i V o i
m a n s o a c a d i i o n s c i a c g s s u n s a m r x r C D o n y I C D s n n n i n n
a a a r d t r a a i a k a n h a o s r a k p s i k a a m l s a a s t i g r s g
s n o i e s y n d u n t i i a s e c r k a v l r k e a t g i
i c a s a p h y o o o a a o o e o i n
a u e p i l t n n l t n n
t t i r i a i d i a i
t e n a n a
s a a
state
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
Plot of dffits*state. Legend: A = 1 obs, B = 2 obs, etc.
dffits |
2 +
|
|-------------------------------------------------------------------------------------------------------
|
| A A A A A A A A A
0 + A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
| A A A A
|------------------------------------------------A-------------------------------A---------------A------
|
|
-2 +
|
| A
|
|
-4 +
---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+--
A A A A C C C D F G H I I I I K K L M M M M M M M M N N N N N N N N O O O P R S S T T U V V W W W W
l l r r a o o e l e a d l n o a e o a a a i i i i o e e e e e e o o h k r e h o o e e t e i a e i y
a a i k l l n l o o w a l d w n n u i r s c n s s n b v w w w w r r i l e n o u u n x a r r s s s o
b s z a i o n a r r a h i i a s t i n y s h n s s t r a H J M Y t t o a g n d t t n a h m g h t c m
a k o n f r e w i g i o n a a u s e l a i e i o a a d a e e o h h h o s e h h e s o i i V o i
m a n s o a c a d i i o n s c i a c g s s u n s a m r x r C D o n y I C D s n n n i n n
a a a r d t r a a i a k a n h a o s r a k p s i k a a m l s a a s t i g r s g
s n o i e s y n d u n t i i a s e c r k a v l r k e a t g i
i c a s a p h y o o o a a o o e o i n
a u e p i l t n n l t n n
t t i r i a i d i a i
t e n a n a
s a a
state
|
| Chapter 11 : State SAT scores for 1982 |
| Various plot with state variable |
| Moments | |||
|---|---|---|---|
| N | 50 | Sum Weights | 50 |
| Mean | 0 | Sum Observations | 0 |
| Std Deviation | 25.4382824 | Variance | 647.10621 |
| Skewness | -0.6876412 | Kurtosis | 0.6545135 |
| Uncorrected SS | 31708.2043 | Corrected SS | 31708.2043 |
| Coeff Variation | . | Std Error Mean | 3.59751639 |
| Basic Statistical Measures | |||
|---|---|---|---|
| Location | Variability | ||
| Mean | 0.000000 | Std Deviation | 25.43828 |
| Median | 2.169153 | Variance | 647.10621 |
| Mode | . | Range | 114.50838 |
| Interquartile Range | 24.92806 | ||
| Tests for Location: Mu0=0 | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Student's t | t | 0 | Pr > |t| | 1.0000 |
| Sign | M | 1 | Pr >= |M| | 0.8877 |
| Signed Rank | S | 57.5 | Pr >= |S| | 0.5840 |
| Tests for Normality | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Shapiro-Wilk | W | 0.941722 | Pr < W | 0.0158 |
| Kolmogorov-Smirnov | D | 0.155271 | Pr > D | <0.0100 |
| Cramer-von Mises | W-Sq | 0.193852 | Pr > W-Sq | 0.0061 |
| Anderson-Darling | A-Sq | 1.131035 | Pr > A-Sq | 0.0054 |
| Quantiles (Definition 5) | |
|---|---|
| Quantile | Estimate |
| 100% Max | 49.70598 |
| 99% | 49.70598 |
| 95% | 41.05749 |
| 90% | 26.67927 |
| 75% Q3 | 17.74226 |
| 50% Median | 2.16915 |
| 25% Q1 | -7.18581 |
| 10% | -41.32560 |
| 5% | -54.75894 |
| 1% | -64.80239 |
| 0% Min | -64.80239 |
| Extreme Observations | |||
|---|---|---|---|
| Lowest | Highest | ||
| Value | Obs | Value | Obs |
| -64.8024 | 50 | 26.7573 | 46 |
| -59.5187 | 16 | 32.0328 | 2 |
| -54.7589 | 25 | 41.0575 | 28 |
| -48.4172 | 29 | 45.9046 | 13 |
| -45.7444 | 48 | 49.7060 | 21 |
Stem Leaf # Boxplot Normal Probability Plot
5 0 1 | 52.5+ ++
4 6 1 | | *+ *
4 1 1 | | *+
3 | | ++
3 2 1 | | ++ *
2 5577 4 | | ++**
2 02 2 | | +***
1 7899 4 +-----+ | ****
1 002 3 | | | +**
0 55688 5 | | | ***
0 2244 4 *--+--* | ***
-0 433211 6 | | | ****
-0 765555 6 +-----+ -7.5+ ****++
-1 2200 4 | | ** ++
-1 | | ++
-2 3 1 | | *++
-2 | | ++
-3 | | ++
-3 75 2 | | ++ **
-4 | ++
-4 86 2 0 | ++ * *
-5 | ++ *
-5 5 1 0 | ++ *
-6 0 1 0 |++ *
-6 5 1 0 -67.5+
----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+
Multiply Stem.Leaf by 10**+1 -2 -1 0 +1 +2
|
| Chapter 11 : State SAT scores for 1982 |
| RSquare procedure |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Number in Model |
R-Square | Adjusted R-Square |
C(p) | AIC | BIC | MSE | SBC | SSE | Variables in Model |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 0.8471 | 0.8405 | 10.2152 | 337.1712 | 338.6926 | 800.54988 | 342.90724 | 37626 | YEARS RANK |
| 2 | 0.8054 | 0.7971 | 24.9737 | 349.2094 | 349.4076 | 1018.47722 | 354.94549 | 47868 | EXPEND RANK |
| 2 | 0.7959 | 0.7872 | 28.3393 | 351.5915 | 351.5479 | 1068.17341 | 357.32757 | 50204 | TAKERS YEARS |
| 2 | 0.7929 | 0.7841 | 29.3971 | 352.3174 | 352.2015 | 1083.79357 | 358.05344 | 50938 | INCOME RANK |
| 2 | 0.7899 | 0.7809 | 30.4827 | 353.0515 | 352.8632 | 1099.82344 | 358.78755 | 51692 | PUBLIC RANK |
| 2 | 0.7814 | 0.7721 | 33.4883 | 355.0295 | 354.6494 | 1144.20467 | 360.76555 | 53778 | TAKERS RANK |
| 3 | 0.8711 | 0.8627 | 3.6884 | 330.6154 | 333.3525 | 689.30879 | 338.26348 | 31708 | YEARS EXPEND RANK |
| 3 | 0.8584 | 0.8491 | 8.2059 | 335.3298 | 337.2970 | 757.46541 | 342.97791 | 34843 | INCOME YEARS RANK |
| 3 | 0.8502 | 0.8405 | 11.0931 | 338.1255 | 339.6526 | 801.02397 | 345.77356 | 36847 | TAKERS YEARS RANK |
| 3 | 0.8472 | 0.8372 | 12.1618 | 339.1220 | 340.4954 | 817.14864 | 346.77006 | 37589 | YEARS PUBLIC RANK |
| 3 | 0.8411 | 0.8308 | 14.3141 | 341.0704 | 342.1482 | 849.61972 | 348.71845 | 39083 | PUBLIC EXPEND RANK |
| 3 | 0.8235 | 0.8120 | 20.5602 | 346.3296 | 346.6428 | 943.85568 | 353.97768 | 43417 | TAKERS YEARS EXPEND |
| 4 | 0.8771 | 0.8661 | 3.5812 | 330.2544 | 333.6839 | 672.12769 | 339.81451 | 30246 | YEARS PUBLIC EXPEND RANK |
| 4 | 0.8767 | 0.8657 | 3.7169 | 330.4098 | 333.8058 | 674.22054 | 339.96995 | 30340 | TAKERS YEARS EXPEND RANK |
| 4 | 0.8746 | 0.8634 | 4.4659 | 331.2592 | 334.4728 | 685.77191 | 340.81934 | 30860 | INCOME YEARS EXPEND RANK |
| 4 | 0.8593 | 0.8468 | 9.8660 | 336.9901 | 339.0170 | 769.05519 | 346.55023 | 34607 | INCOME YEARS PUBLIC RANK |
| 4 | 0.8584 | 0.8458 | 10.2000 | 337.3239 | 339.2840 | 774.20684 | 346.88404 | 34839 | TAKERS INCOME YEARS RANK |
| 4 | 0.8506 | 0.8373 | 12.9515 | 339.9919 | 341.4283 | 816.64093 | 349.55206 | 36749 | TAKERS YEARS PUBLIC RANK |
| 5 | 0.8787 | 0.8649 | 5.0029 | 331.5865 | 335.4861 | 678.28238 | 343.05865 | 29844 | TAKERS YEARS PUBLIC EXPEND RANK |
| 5 | 0.8773 | 0.8634 | 5.4789 | 332.1370 | 335.8918 | 685.79087 | 343.60911 | 30175 | INCOME YEARS PUBLIC EXPEND RANK |
| 5 | 0.8769 | 0.8629 | 5.6424 | 332.3246 | 336.0303 | 688.36934 | 343.79675 | 30288 | TAKERS INCOME YEARS EXPEND RANK |
| 5 | 0.8594 | 0.8434 | 11.8369 | 338.9609 | 341.0002 | 786.07500 | 350.43308 | 34587 | TAKERS INCOME YEARS PUBLIC RANK |
| 5 | 0.8425 | 0.8246 | 17.8208 | 344.6305 | 345.3574 | 880.45875 | 356.10262 | 38740 | TAKERS INCOME PUBLIC EXPEND RANK |
| 5 | 0.8331 | 0.8141 | 21.1712 | 347.5449 | 347.6369 | 933.30439 | 359.01704 | 41065 | TAKERS INCOME YEARS PUBLIC EXPEND |
| Chapter 11 : State SAT scores for 1982 |
| RSquare procedure |
| Obs | _MODEL_ | _TYPE_ | _DEPVAR_ | _RMSE_ | Intercept | TAKERS | INCOME | YEARS | PUBLIC | EXPEND | RANK | SAT | _IN_ | _P_ | _EDF_ | _SSE_ | _MSE_ | _RSQ_ | _ADJRSQ_ | _CP_ | _AIC_ | _BIC_ | _SBC_ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | MODEL1 | PARMS | SAT | 28.2940 | -243.931 | . | . | 27.3829 | . | . | 9.3516 | -1 | 2 | 3 | 47 | 37625.84 | 800.55 | 0.84706 | 0.84055 | 10.2152 | 337.171 | 338.693 | 342.907 |
| 2 | MODEL1 | PARMS | SAT | 31.9136 | 92.764 | . | . | . | . | 2.11163 | 10.0850 | -1 | 2 | 3 | 47 | 47868.43 | 1018.48 | 0.80542 | 0.79714 | 24.9737 | 349.209 | 349.408 | 354.945 |
| 3 | MODEL1 | PARMS | SAT | 32.6829 | 613.897 | -2.67946 | . | 24.9425 | . | . | . | -1 | 2 | 3 | 47 | 50204.15 | 1068.17 | 0.79593 | 0.78724 | 28.3393 | 351.591 | 351.548 | 357.328 |
| 4 | MODEL1 | PARMS | SAT | 32.9210 | 181.173 | . | 0.26206 | . | . | . | 8.6229 | -1 | 2 | 3 | 47 | 50938.30 | 1083.79 | 0.79294 | 0.78413 | 29.3971 | 352.317 | 352.201 | 358.053 |
| 5 | MODEL1 | PARMS | SAT | 33.1636 | 251.200 | . | . | . | -0.90254 | . | 9.6268 | -1 | 2 | 3 | 47 | 51691.70 | 1099.82 | 0.78988 | 0.78094 | 30.4827 | 353.051 | 352.863 | 358.788 |
| 6 | MODEL1 | PARMS | SAT | 33.8261 | 412.855 | -0.81700 | . | . | . | . | 6.9574 | -1 | 2 | 3 | 47 | 53777.62 | 1144.20 | 0.78140 | 0.77210 | 33.4883 | 355.029 | 354.649 | 360.766 |
| 7 | MODEL1 | PARMS | SAT | 26.2547 | -303.724 | . | . | 26.0952 | . | 1.86087 | 9.8258 | -1 | 3 | 4 | 46 | 31708.20 | 689.31 | 0.87111 | 0.86270 | 3.6884 | 330.615 | 333.353 | 338.263 |
| 8 | MODEL1 | PARMS | SAT | 27.5221 | -226.136 | . | 0.20516 | 26.1300 | . | . | 8.6290 | -1 | 3 | 4 | 46 | 34843.41 | 757.47 | 0.85837 | 0.84913 | 8.2059 | 335.330 | 337.297 | 342.978 |
| 9 | MODEL1 | PARMS | SAT | 28.3024 | -80.997 | -0.54627 | . | 26.7726 | . | . | 7.6174 | -1 | 3 | 4 | 46 | 36847.10 | 801.02 | 0.85022 | 0.84045 | 11.0931 | 338.125 | 339.653 | 345.774 |
| 10 | MODEL1 | PARMS | SAT | 28.5858 | -227.549 | . | . | 26.8031 | -0.09765 | . | 9.3634 | -1 | 3 | 4 | 46 | 37588.84 | 817.15 | 0.84721 | 0.83724 | 12.1618 | 339.122 | 340.495 | 346.770 |
| 11 | MODEL1 | PARMS | SAT | 29.1482 | 168.904 | . | . | . | -1.43422 | 2.84704 | 10.3780 | -1 | 3 | 4 | 46 | 39082.51 | 849.62 | 0.84114 | 0.83077 | 14.3141 | 341.070 | 342.148 | 348.718 |
| 12 | MODEL1 | PARMS | SAT | 30.7222 | 597.687 | -2.84330 | . | 23.3656 | . | 2.00591 | . | -1 | 3 | 4 | 46 | 43417.36 | 943.86 | 0.82351 | 0.81200 | 20.5602 | 346.330 | 346.643 | 353.978 |
| 13 | MODEL1 | PARMS | SAT | 25.9254 | -204.598 | . | . | 21.8905 | -0.66380 | 2.24164 | 10.0032 | -1 | 4 | 5 | 45 | 30245.75 | 672.13 | 0.87706 | 0.86613 | 3.5812 | 330.254 | 333.684 | 339.815 |
| 14 | MODEL1 | PARMS | SAT | 25.9658 | -89.636 | -0.72893 | . | 25.2092 | . | 1.96437 | 7.5381 | -1 | 4 | 5 | 45 | 30339.92 | 674.22 | 0.87667 | 0.86571 | 3.7169 | 330.410 | 333.806 | 339.970 |
| 15 | MODEL1 | PARMS | SAT | 26.1872 | -285.461 | . | 0.11992 | 25.5321 | . | 1.61621 | 9.3411 | -1 | 4 | 5 | 45 | 30859.74 | 685.77 | 0.87456 | 0.86341 | 4.4659 | 331.259 | 334.473 | 340.819 |
| 16 | MODEL1 | PARMS | SAT | 27.7318 | -268.779 | . | 0.23001 | 27.5637 | 0.26704 | . | 8.5091 | -1 | 4 | 5 | 45 | 34607.48 | 769.06 | 0.85933 | 0.84682 | 9.8660 | 336.990 | 339.017 | 346.550 |
| 17 | MODEL1 | PARMS | SAT | 27.8246 | -239.955 | 0.04788 | 0.21049 | 26.1509 | . | . | 8.7622 | -1 | 4 | 5 | 45 | 34839.31 | 774.21 | 0.85838 | 0.84579 | 10.2000 | 337.324 | 339.284 | 346.884 |
| 18 | MODEL1 | PARMS | SAT | 28.5769 | -76.931 | -0.66476 | . | 27.7471 | 0.18643 | . | 7.2186 | -1 | 4 | 5 | 45 | 36748.84 | 816.64 | 0.85062 | 0.83734 | 12.9515 | 339.992 | 341.428 | 349.552 |
| 19 | MODEL1 | PARMS | SAT | 26.0439 | -100.474 | -0.46208 | . | 22.6688 | -0.45226 | 2.18591 | 8.4964 | -1 | 5 | 6 | 44 | 29844.42 | 678.28 | 0.87869 | 0.86490 | 5.0029 | 331.587 | 335.486 | 343.059 |
| 20 | MODEL1 | PARMS | SAT | 26.1876 | -213.754 | . | 0.04267 | 22.3541 | -0.55897 | 2.09446 | 9.8027 | -1 | 5 | 6 | 44 | 30174.80 | 685.79 | 0.87734 | 0.86341 | 5.4789 | 332.137 | 335.892 | 343.609 |
| 21 | MODEL1 | PARMS | SAT | 26.2368 | -118.235 | -0.61163 | 0.03842 | 25.1714 | . | 1.86933 | 7.7509 | -1 | 5 | 6 | 44 | 30288.25 | 688.37 | 0.87688 | 0.86289 | 5.6424 | 332.325 | 336.030 | 343.797 |
| 22 | MODEL1 | PARMS | SAT | 28.0370 | -240.775 | -0.11589 | 0.22027 | 27.6961 | 0.30112 | . | 8.1714 | -1 | 5 | 6 | 44 | 34587.30 | 786.07 | 0.85941 | 0.84343 | 11.8369 | 338.961 | 341.000 | 350.433 |
| 23 | MODEL1 | PARMS | SAT | 29.6725 | 256.909 | -0.33460 | -0.10252 | . | -1.51353 | 3.14508 | 9.7592 | -1 | 5 | 6 | 44 | 38740.19 | 880.46 | 0.84253 | 0.82463 | 17.8208 | 344.630 | 345.357 | 356.103 |
| 24 | MODEL1 | PARMS | SAT | 30.5500 | 535.091 | -3.01685 | -0.11732 | 26.9268 | 0.53568 | 2.02386 | . | -1 | 5 | 6 | 44 | 41065.39 | 933.30 | 0.83307 | 0.81411 | 21.1712 | 347.545 | 347.637 | 359.017 |
| Chapter 11 : State SAT scores for 1982 |
| Cp criterion |
| Number of Observations Read | 50 |
|---|---|
| Number of Observations Used | 50 |
| Number in Model |
C(p) | R-Square | Variables in Model |
|---|---|---|---|
| 4 | 3.5812 | 0.8771 | YEARS PUBLIC EXPEND RANK |
| 3 | 3.6884 | 0.8711 | YEARS EXPEND RANK |
| 4 | 3.7169 | 0.8767 | TAKERS YEARS EXPEND RANK |
| 4 | 4.4659 | 0.8746 | INCOME YEARS EXPEND RANK |
| 5 | 5.0029 | 0.8787 | TAKERS YEARS PUBLIC EXPEND RANK |
| 5 | 5.4789 | 0.8773 | INCOME YEARS PUBLIC EXPEND RANK |
| 5 | 5.6424 | 0.8769 | TAKERS INCOME YEARS EXPEND RANK |
| 3 | 8.2059 | 0.8584 | INCOME YEARS RANK |
| 4 | 9.8660 | 0.8593 | INCOME YEARS PUBLIC RANK |
| 4 | 10.2000 | 0.8584 | TAKERS INCOME YEARS RANK |