Stat 5511 - Lab 9 – Spring 2011
(1) Transformations
Create a SAS file that contains the following code:
options ls=80;
data one;
input x y @@;
datalines;
39
4 16
5 25
6 36
7 49
;
data two;
set one;
y1 =sqrt(y);
y2=y**2;
y3=y*y;
fraction=y/90;
y4=arsin(fraction);
y5=log(y);
y6=y**x;
proc print;
run;
Output
Obs
x
1
3
2
4
3
5
4
6
5
7
y
9
16
25
36
49
y1
3
4
5
6
7
y2
81
256
625
1296
2401
y3
81
256
625
1296
2401
fraction
0.10000
0.17778
0.27778
0.40000
0.54444
SAS functions for some common transformations:
Transformation
Log10(.)
ln(.)
arcsine (sin-1)
square root
yx
SAS function
log10 (.)
log(.)
arsin(.)
sqrt(.)
y**x
y4
0.10017
0.17873
0.28148
0.41152
0.57573
y5
2.19722
2.77259
3.21888
3.58352
3.89182
y6
729
65536
9765625
2176782336
678223072849
(2) Polynomial Regression Model
Create a poly.dat with the following data came from U.S. Census Bureau(Finite Mathematics + Applied Calculus
p.1020):
0 847
1 907
2 1016
3 1110
4 1251
5 1340
6 1134
7 1043
8 773
9.
Create a SAS file that contains the following code:
options ls=80;
data one;
infile 'poly.dat’;
input x1 y;
x2=x1*x1;
run;
proc reg data=one;
model y=x1 x2/ss1 r clb;
/*Create a model y  0  1 x1   2 x1   .*/
test x2=0;
/*Test H0: 2  0 */
run;
proc print;
run;
proc plot data=one;
plot y*x1;
plot y*x2;
run;
2
/* optional you can see your data*/
The scatter diagram suggests that the quadratic model may describe the relationship between x and y.