3. Compute and interpret r for the following data given in Lesson 1. a. Age of a person, in years 11 12 13 14 15 Weight, in kg 16 17 18 19 20 40 42 38 35 45 51 48 48 50 47 b. Age of a car, in years 0.5 1 1.5 3. 4. 4.5 7 Mileage, in km/liter 16 15 10 12 10 12 11 10 11 8. C. No. of hours spent in safety training 20 30 40 50 60 70 80 90 100 110 No. of hours lost due to accidents 100 90 85 60 80 50 30 30 20 10
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.
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Compute and interpret r for the following data given in Lesson 1.
a.
Age of a person, in years
11
12
13
14
15
Weight, in kg
16
17
18
19
20
40
42
38
35
45
51
b.
48
48
50
47
Age of a car, in years
0.5
1.5
3.
4.
4.5
Mileage, in km/liter
16
15
10
10
12
11
10
11
C.
No. of hours spent in safety
training
20
30
40
50
60
70
80
90
100
110
No. of hours lost due to
accidents
100
90
85
60
80
50
30
30
20
10
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