Question

Please show me the data in SAS and the output.

Thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

It has been suggested that central nervous system malformations in newborns may be related to the hardness of water supplies. Data on the number of central nervous system malformations per 1000 births, and water hardness (in ppm) were collected from 20 geographic regions. These data are stored in "ens.xls" on ELC in two columns: 1 malformation rate (per 1000 births), and 2) hardness (ppm). Use SAS to perform the following analyses. Attach a copy of your program and output to the end of this assignment

1.

2.

Answer 1

Hello,

SAS code for the data is

data data;
infile datalines delimiter=',';
input Malformati Hardness ;
datalines;
7.2,50
6.3,160
8.1,25
12.5,50
11.2,15
15,45
9.3,75
6.5,60
9.4,100
8,100
5,150
10,155
5.8,180
5.3,200
3.3,250
4.9,240
3.6,275
7.2,40
4.8,220
11.9,65
.
;
run;

proc reg data=data;
model Malformati=Hardness/CLB;
run;

the regression model as

y=11.23811-0.02829x

analysis table as,

2)

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	11.23811	0.889018	12.64104	2.17E-10	9.370353	13.10587	9.370353	13.10587
Hardness	-0.02829	0.006052	-4.67519	0.000188	-0.04101	-0.01558	-0.04101	-0.01558

standard error of intercept =0.889018
standard error of slope =0.006052

3) hypothesis,

	df	SS	MS	F	p_value
Regression	1	104.2521	104.2521	21.85744324	0.000188
Residual	18	85.85345	4.769636
Total	19	190.1055

P-value is significant,

so malformation rate is statistical significant on the water hardness.

4) p-value for the both slope and intercept are signifiant, so we can conclude that the malformation rate is statistical significant on the water hardness.

5)

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	11.23811	0.889018	12.64104	2.17368E-10	9.370353	13.10587
Hardness	-0.02829	0.006052	-4.67519	0.000188422	-0.04101	-0.01558

6)

confidence interval for slope are within the range and it is narrow. we 95% sure that the intercept value will fall witin the range.

scatter plot shows, as the x increases the value of y decreases

Thanks