Answer the following questions. The same response may be the correct answer for more than one 1. In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one 2. Which data set indicates a perfect positive linear relationship between its two variables? Choose one 3. Which data set indicates the strongest negative linear relationship between its two variables? Choose one 4. Which data set has an apparent positive, but not perfect, linear relationship between its two variables? Choose one
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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Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data
set is made up of sample values drawn from a population.
y
u
V
1.0
1.0
111v
1.0
4.0
11
10
2.0
2.0
2.0
5.9
10
3.0
3.0
8.
3.0
6.8
8.
7.
7-
4.0
4.0
6-
4.0
4.3
5-
5.0
5.0
5
4
5.0
4.7
4+ X
3
6.0
6.0
6.0
7.7
3
7.0
7.0
7.0
5.4
8.0
8.0
8.
9 10 11
8.0
7.2
0.
6 789 10 11
9.0
9.0
Figure 1
9.0
9.4
Figure 2
10.0 10.0
10.0 7.3
W
1.0
4.2
1.0
7.9
11
11
10
10.
2.0
6.4
2.0
7.0
3.0
8.1
8-
3.0
7.9
8.
4.0
9.3
4.0
5.8
6.
5.
5.0
9.9
5.0
6.8
ャ+
4 x
4-
6.0
9.4
3.
6.0
4.6
3
2
7.0
9.2
7.0
5.1
8.0
8.3
4
6 7 89 10 11
8.0
3.3
6 7 89 10 11
9.0
6.5
Figure 3
9.0
4.1
Figure 4
10.0 3.8
10.0 2.9"

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