Birthrate, x (number of births per 1000 pop.) Female life expectancy, y ху (in years) 33.8 66.6 2251.08 16.7 74.0 1235.8 16.5 77.5 1278.75 24.9 73.1 1820.19 14.5 73.7 1068.65 30.1 62.7 1887.27 51.2 57.8 2959.36 47.1 58.0 2731.8 48.3 60.5 2922.15 25.9 71.3 1846.67 41.4 65.8 2724.12 50.5 55.0 2777.5
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.
What is the sample
![Birthrate, x
Female life
(number of
births per
1000 роp.)
expectancy, у
ху
(in years)
y
85+
33.8
66.6
2251.08
80+
16.7
74.0
1235.8
75+
16.5
77.5
1278.75
70+
24.9
73.1
1820.19
65+
14.5
73.7
1068.65
60+
хх
30.1
62.7
1887.27
55-
51.2
57.8
2959.36
50-
47.1
58.0
2731.8
10 15 20 25 30 35 40 45 50 55 60
48.3
60.5
2922.15
Birthrate
25.9
71.3
1846.67
(number of births per 1000 pop.)
41.4
65.8
2724.12
Figure 1
50.5
55.0
2777.5
Female life expectancy
(in years)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4546ef37-bea9-4469-8e11-c02351e30e9a%2Fe8435cf9-a7c9-46f2-bc5a-d87d2285bd71%2Fahhw6e6_processed.png&w=3840&q=75)
![Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the
number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed
in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These
products, written in the column labelled "xy", may aid in calculations.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4546ef37-bea9-4469-8e11-c02351e30e9a%2Fe8435cf9-a7c9-46f2-bc5a-d87d2285bd71%2Fhg2iv87_processed.png&w=3840&q=75)
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