a Draw a scatter diagram of the data. Choose the correct graph below. O A. O B. OC. OD. Ay 20- 20- 20 (b) By hand, compute the correlation coefficient. The correlation coefficient isr= (Round to three decimal places as needed.) (c) Determine whether there is a linear relation between x and y inear relation exists behween x and y V than the critical value for this data set v and the absolute value of the correlation coefficient, is Because the correlation coefficient is
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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Critical values for the correlation coefficient
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(a)
lation coefficient, and (c) determine whether there is a linear relation between x and y
Questio
Critical Values for Correlation Coefficient
3 0.997
4 0.950
5 0.878
0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
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Data set
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12
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(b) E
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(c) U
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V than the critical value for this data set,
Vlinear relation exists between x and y
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![For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y
Click here to view the data set.
Click here to view the critical values table,
Question Help
(a) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
AY
20-
O B.
OC.
Ay
20-
OD.
20-
20
0-
10
10
(b) By hand, compute the correlation coefficient.
The correlation coefficient isr= (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
Because the correlation coefficient is
and the absolute value of the correlation coefficient, is
V than the critical value for this data set,
linear relation exists between x and y
Click to select your answer(s)
(2)
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