Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph y1242510-20-15-10-2-5-101520251020Variable 1Variable 1r = 0.0r = -0.99Answer Bankr = 0.4r = -0.99r = 0.01.0-30-r = 0.9r = -0.8o 0.8-20-0.6-0.4-10-r = 0.00.2-r = 0.0510150.20.40.60.81.0Variable 3Variable 6Variable 8Variable 5 3030-25-25-20-r = 0.9r = -0.820-15-15-10-10-5-5-х10151015Variable 1Variable 1r = 0.48-4·2-10.15.20.25.Variable 2Variable 7Variable 4

Scatterplot is the plot of the pairs of observations where the independent variable plotted on…

Answered: Each of the following graphs show the…

Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Concept explainers

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.

Question

Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph

y
124
25
10-
20-
15-
10-
2-
5-
10
15
20
25
10
20
Variable 1
Variable 1
r = 0.0
r = -0.99
Answer Bank
r = 0.4
r = -0.99
r = 0.0
1.0-
30-
r = 0.9
r = -0.8
o 0.8-
20-
0.6-
0.4-
10-
r = 0.0
0.2-
r = 0.0
5
10
15
0.2
0.4
0.6
0.8
1.0
Variable 3
Variable 6
Variable 8
Variable 5

30
30-
25-
25-
20-
r = 0.9
r = -0.8
20-
15-
15-
10-
10-
5-
5-
х
10
15
10
15
Variable 1
Variable 1
r = 0.4
8-
4·
2-
10.
15.
20.
25.
Variable 2
Variable 7
Variable 4

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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