The CORR Procedure 5 Variables: totsat texppp iexppp nexppp pertake Simple Stati
ID: 3229723 • Letter: T
Question
The CORR Procedure
5 Variables:
totsat texppp iexppp nexppp pertake
Simple Statistics
Variable
N
Mean
Std Dev
Sum
Minimum
Maximum
Label
totsat
51
1070
93.39880
54573
881.00000
1215
texppp
51
11080
3032
565078
6452
20910
texppp
iexppp
51
3936
1291
200760
1929
9776
iexppp
nexppp
51
7143
1884
364318
4524
13051
pertake
51
40.93333
35.42293
2088
1.90000
100.00000
pertake
Pearson Correlation Coefficients, N = 51
Prob > |r| under H0: Rho=0
totsat
texppp
iexppp
nexppp
pertake
totsat
1.00000
-0.30924
0.0272
-0.33298
0.0170
-0.26943
0.0559
-0.91141
<.0001
texppp
texppp
-0.30924
0.0272
1.00000
0.93361
<.0001
0.96937
<.0001
0.42852
0.0017
iexppp
iexppp
-0.33298
0.0170
0.93361
<.0001
1.00000
0.81702
<.0001
0.39404
0.0042
nexppp
-0.26943
0.0559
0.96937
<.0001
0.81702
<.0001
1.00000
0.41954
0.0022
pertake
pertake
-0.91141
<.0001
0.42852
0.0017
0.39404
0.0042
0.41954
0.0022
1.00000
The MEANS Procedure
Variable
Label
N
Mean
Std Dev
Minimum
Maximum
rsat
msat
texppp
iexppp
rsat
msat
texppp
iexppp
51
51
51
51
533.6666667
536.3921569
11079.96
3936.48
46.5208197
47.2445038
3031.55
1291.26
441.0000000
440.0000000
6452.50
1928.55
599.0000000
616.0000000
20910.37
9776.42
Examine the table of descriptive statistics. Write a brief yet informative paragraph that describes your data with references to descriptive statistics. Include basic info about the data. What state has the highest sat scores? What state has the lowest scores? What was the average for the states? What state has the highest per pupil expenditure? The lowest? The Average? What state has the highest percent of graduates taking the SAT?
5 Variables:
totsat texppp iexppp nexppp pertake
Explanation / Answer
Summary
The given data includes 51 observations with five variables. The average value for the variable totsat is given as 1070 with the standard deviation of 93.40 approximately. The minimum value for this variable is given as 881 while maximum value is given as 1215. The second variable ‘texppp’ in the dataset have the mean value of 11080 with the standard deviation of 3032. The minimum value for this variable is given as 6452 and maximum value is given as 20910. The third variable ‘iexppp’ in the dataset have the mean value as 3936 with the standard deviation of 1291. The minimum value for this variable is given as 1929 while maximum value for this variable is given as 9776. The fourth variable ‘nexppp’ in the given data set have the average value 7143 with the standard deviation of 1884. The minimum for this variable is given as 4524 and maximum as 13051. The last variable ‘pertake’ in the given data set have the average value as 40.93 with the standard deviation of 35.42. The minimum value for this variable is 1.9 while maximum value for this variable is 100.
The correlation coefficient between totsat and texppp is given as -0.30924 which is significant at 5% level of significance. The correlation coefficient between totsat and iexppp is given as -0.33298 which is significant at 5% level of significance. The correlation coefficient between totsat and nexppp is given as -0.26943 which is not statistically significant at the 5% level of significance because p-value 0.0559 is greater than alpha value 0.05. The correlation coefficient between totsat and pertake is given as -0.91141 which is statistically significant at 1% level of significance. All other remaining correlation coefficients between the pairs of variables are statistically significant excluding the pair totsat and nexppp.
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