The data are the ages of criminals and their victims. The regression output is shown in a separate tab from the data. Do the data support that a prediction of victim age can be obtained given the data provided in the file? Cite the elements of the output you used to draw your conclusion.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The data are the ages of criminals and their victims. The regression output is shown in a separate tab from the data.
- Do the data support that a prediction of victim age can be obtained given the data provided in the file? Cite the elements of the output you used to draw your conclusion.
![SUMMARY OUTPUT
Regression Statistics
Multiple R
0.82037804
RSquare
0.67302013
Adjusted R Sq 0.65485458
Standard Erro 2.37605737
Observations
20
ANOVA
MS
F
Significance F
Regression
1 209.167106 209.167106 37.0492603
9.4389E-06
Residual
18 101.621675 5.64564863
Total
19 310.788781
Coefficients itandard Error
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
13.7888793 1.69407135 8.13949151
1.9142E-07 10.2297675 17.3479912 10.2297675 17.3479912
Criminal Age 0.39318521 0.06459627 6.08681035
9.4389E-06
0.2574735 0.52889693
0.2574735 0.52889693](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96dca6d1-6b47-4e93-a586-43a968b6da95%2Fd7098b2c-cc1a-40fc-a3f0-8043a0203362%2Fee8z1xu_processed.png&w=3840&q=75)
![RESIDUAL OUTPUT
Observation
Predicted Victim Age
Residuals
Standard Residuals
1
26.37080621 -2.370806209
-1.025131742
2
23.22532449 -3.225324492
-1.394623695
3
24.79806535
0.20193465
0.087316128
4
20.47302799
1.52697201
0.660259565
5
18.50710192 -2.507101917
-1.084065726
6
26.99990255 -1.799902552
-0.778274172
1
7
23.69714675
-2.69714675
-1.166240722
8
25.34852465
0.901475349
0.389796092
9
20.80723542
2.292764578
0.991386701
10
18.74301305 -1.943013045
-0.840154855
11
28.25809524 -0.658095239
-0.284559032
12
24.64079126 -1.640791265
-0.709474777
13
26.44944325
2.300556748
0.994756019
14
21.47565029
3.824349713
1.653640972
15
19.2148353 -0.814835303
-0.352333114
16
28.98155603 0.001556034
-0.000672826
17
25.18338686 -1.033386861
-0.446834359
2
18
27.08247145
3.105028553
1.342607977
19
21.85998883
4.705011166
2.034437178
20
19.4861331
-0.166133101
-0.071835612](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96dca6d1-6b47-4e93-a586-43a968b6da95%2Fd7098b2c-cc1a-40fc-a3f0-8043a0203362%2Ff7ncmnc_processed.png&w=3840&q=75)
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