Problem Folklore has it that there is an inverse correlation between mathematical and artistic ability. Suppose you decide to determine whether there is anything to this notion. You randomly sample 15 participants and give them tests measuring these two abilities. The resulting data are shown here. Mathematical Ability (x) 16 31 35 10 29 Artistic Ability (y) 20 23 17 25 24 Mathematical Ability (x) 41 39 25 11 26 Artistic Ability (y) 22 15 11 19 20 Mathematical Ability (x) 19 14 10 31 24 Artistic Ability (y) 31 33 17 29 25
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.
Problem Folklore has it that there is an inverse
The resulting data are shown here.
Mathematical Ability (x)
16
31
35
10
29
Artistic Ability (y)
20
23
17
25
24
Mathematical Ability (x)
41
39
25
11
26
Artistic Ability (y)
22
15
11
19
20
Mathematical Ability (x)
19
14
10
31
24
Artistic Ability (y)
31
33
17
29
25
Step by step
Solved in 4 steps with 7 images
