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Statistics Assignement

Content type
User Generated
Subject
Economics
School
Kean University
Type
Homework
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1.
There are four variables which include the age , year, bachelor , female and ahe. There are 15052
observations.
2.
The sample average of female is 0.4252591. This means that the sample has more males than
females.
3. Provide a scatter plot of “ahe” over “age” (ahe is dependent variable)
4. Run a regression of “ahe” over “age”.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R
Square
0
5
10
15
20
25
30
35
40
0 20 40 60 80 100
AHE
Age
Scatter plot
age

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Standard
Error
Observation
s
ANOVA
SS
MS
F
Significan
ce F
Regression
18581.9
18581.9
211.34
2
1.47E-47
Residual
1323247
87.9233
7
Total
1341829
Standard
Error
t Stat
P-
value
Lower
95%
Upper
95%
Lower
95.0%
Upper
95.0%
Intercept
0.807199
4.93033
3
8.3E-
07
2.397553
5.56197
1
2.39755
3
5.56197
1
age
0.027075
14.5376
1
1.47E-
47
0.340536
0.44667
7
0.34053
6
0.44667
7
4.1.
Ahe = b + b
1
age
4.2.
Ahe = 3.979762 +0.393607 age
4.3
The coefficient of age is o.399307 which shows that a unit change in the age by one year , it will
lead to the 0.393607 change on the Average hourly ratings
4.4.
Ahe = 3.979762 +(0.393607 x33)

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1. There are four variables which include the age , year, bachelor , female and ahe. There are 15052 observations. 2. The sample average of female is 0.4252591. This means that the sample has more males than females. 3. Provide a scatter plot of “ahe” over “age” (ahe is dependent variable) Scatter plot 40 35 30 AHE 25 20 15 10 5 0 0 20 40 60 Age age 4. Run a regression of “ahe” over “age”. SUMMARY OUTPUT Regression Statistics Multiple R 0.117678 R Square 0.013848 Adjusted R Square 0.013783 80 100 Standard Error Observation s 9.376746 15052 ANOVA df SS MS 1 18581.9 15050 15051 1323247 1341829 18581.9 87.9233 7 Coefficien ts Standard Error Intercept 3.979762 0.807199 age 0.393607 0.027075 Regression Residual Total t Stat 4.93033 3 14.5376 1 F 211.34 2 Pvalue 8.3E07 1.47E47 Significan ce F 1.47E-47 Lower 95% 2.397553 0.340536 Upper 95% 5.56197 1 0.44667 7 Lower 95.0% 2.39755 3 0.34053 6 Upper 95.0% 5.56197 1 0.44667 7 4.1. Ahe = b + b1 age 4.2. Ahe = 3.979762 +0.393607 age 4.3 The coefficient of age is o.399307 which shows that a unit change in the age by one year , it will lead to the 0.393607 change on the Average hourly ratin ...
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