For the data given below, fill in the blanks, using Formulas, Descriptive Statistics and Regression outputs.
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.
 alt="For the data given below, fill in the blanks, using Formulas, Descriptive Statistics and Regression outputs.
Mean of X2:
1)
28th Percentile of X1:
2)
3)
Standard Deviation of X2:
4)
Y
XI
X2
10
20
400
70
11
30
450
97
12
Median of X2:
10
350
54
5)
Correlation Between X1 and Y:
Minimum value of X2:
13
20
375
40
14
6)
30
400
65
15
9)
bo :
25
400
94
16
7)
b,.
30
450
53
17
8)
20
300
35
10)
11)
18
SSR:
10
300
75
19
SSE:
40
300
53
ST:
F Statistics:
20
12)
Regression output
20
350
64
13)
14)
21
30
450
68
22
Adjusted R Square:
10
400
96
23
15)
MSE:
30
325
54
24
16)
MSR:
25
17)
Standard Error of Regression:
18)
19)
20)
26
Standard error of X2:
27
t-statistics of X2:
28
Fit the regression equation:
29
30
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