O REGRESSION AND CORRELATIONLinear relationship and the sample correlation coefficientShaBelow 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 samplevalues drawn from a population.yV111.0 7.910-11r10+ x9+1.0 10.02.0 6.69-2.0 9.03.0 7.93.08.04.06.06+5-4.07.06+545.07.15.06.04.6.0 5.06.04.73-3.2.7.0 |5.32.4.0147.08.03.38.03.09.04.59.02.010.0 2.9Figure 110.0 1.0 | Figure 2wWtm111.0 | 7.910-2.0 5.41110-9-1.0 | 4.494|2.0 | 5.83.03.63.07.14.0 2.1644.04.25.0 1.15.0 5.1541.5x T+6.06.0 8.12.247.0 5.41-7.02.18.03.38.0 7.49.0 5.49.0 8.910.0 7.5 | Figure 310.0 7.9 Figure 4ExplanationCheckO 2021 McGraw-H Education. All Rights Reserved Terms of UseI Privacy AccessitO Type here to searchIII 10.0 7.5 Figure 310.0 7.9Figure 4Answer the following questions. The same response may be the correct answer for more than on1. Which data set indicates a perfect positive linearrelationship between its two variables?Choose oneChoose onethe x, y data setthe u, v data setthe w, t data set3. Which data set indicates the strongest negative linear the m, n data setnone of the data sets2. Which data set has an apparent negative, but notperfect, linear relationship between its two variables?relationship between its two variables?4. In which data set is there evidence of a strongnonlinear relationship between the two variables?Choose oneExplanationCheckType here to search

1. The data points in the scatterplot are said to have a perfect positive linear relationship when…

Answer the following questions. The same response may be the correct answer for more than c 1. Which data set indicates a perfect positive linear relationship between its two variables? Choose one Choose one 2. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? the x, y data set the u, v data set the w, t data set 3. Which data set indicates the strongest negative linear the m, n data set relationship between its two variables? none of the data sets 4, In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one

Answer the following questions. The same response may be the correct answer for more than c 1. Which data set indicates a perfect positive linear relationship between its two variables? Choose one Choose one 2. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? the x, y data set the u, v data set the w, t data set 3. Which data set indicates the strongest negative linear the m, n data set relationship between its two variables? none of the data sets 4, In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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

O REGRESSION AND CORRELATION
Linear relationship and the sample correlation coefficient
Sha
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
V
11
1.0 7.9
10-
11r
10+ x
9+
1.0 10.0
2.0 6.6
9-
2.0 9.0
3.0 7.9
3.0
8.0
4.0
6.0
6+
5-
4.0
7.0
6+
54
5.0
7.1
5.0
6.0
4.
6.0 5.0
6.0
4.7
3-
3.
2.
7.0 |
5.3
2.
4.0
14
7.0
8.0
3.3
8.0
3.0
9.0
4.5
9.0
2.0
10.0 2.9
Figure 1
10.0 1.0 | Figure 2
w
W
t
m
11
1.0 | 7.9
10-
2.0 5.4
11
10-
9-
1.0 | 4.4
94
|2.0 | 5.8
3.0
3.6
3.0
7.1
4.0 2.1
64
4.0
4.2
5.0 1.1
5.0 5.1
54
1.5
x T+
6.0
6.0 8.1
2.
24
7.0 5.4
1-
7.0
2.1
8.0
3.3
8.0 7.4
9.0 5.4
9.0 8.9
10.0 7.5 | Figure 3
10.0 7.9 Figure 4
Explanation
Check
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O Type here to search
III

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The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. % Working 67 45 73 54 61 % Management 50 23 63 47 34 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 40 to 75 and is labeled: % Working. The vertical axis ranges from 0 to 70 and is labeled: % Management. The first three points are plotted from left to right in an downward, diagonal direction starting in the upper left corner of the diagram. The fourth point extends upward in a diagonal direction to the right. The last point then extends downward from the fourth point in a diagonal direction to the right. The points are between 23 to 63 on the vertical axis. A scatter diagram has 5 points plotted on it. The horizontal axis ranges…
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