Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women. Choose the correct answer below. A. There does not appear to be a linear correlation because the points do not form a line. B. There does not appear to be a linear correlation because the points form an obvious pattern. C. There appears to be a linear correlation because the points form a line. D. There appears to be a linear correlation because the points form an obvious pattern. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. A. There does not appear to be a linear correlation because the points do not form a line. B. There appears to be a linear correlation because the points form an obvious pattern. C. There appears to be a linear correlation because the points form a line. D. There does not appear to be a linear correlation because the points form an obvious pattern. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner(for men) have the same linear correlation coefficient? The correlation coefficient for the points in the lower left corner is r=nothing. (Type an integer or a fraction.) Do the four points in the upper right corner have the same correlation coefficient? A. Yes, because the four points in the upper right corner form the same pattern as the four points in the lower left corner. B. No, because the four points in the upper right corner form a different pattern from the four points in the lower left corner. C. Yes, because the four points in the upper right corner form a different pattern from the four points in the lower left corner. D. No, because the four points in the upper right corner form the same pattern as the four points in the lower left corner. Find the value of the linear correlation coefficient using all eight points. What does that value suggest about the relationship between x and y? Use α = 0.05. The correlation coefficient for all eight points is r=nothing. (Round to three decimal places as needed.) Using α = 0.05, what does r suggest about the relationship between x and y? A. There is sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is less than the critical value. B. There is not sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is less than the critical value. C. There is sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is greater than the critical value. D. There is not sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is greater than the critical value. Based on the preceding results, what can be concluded? Should the data from women and the data from men be considered together, or do they appear to represent two different and distinct populations that should be analyzed separately? A. The two data sets are the same population and they should be considered separately. B. There are two different populations that should be considered together. C. The two data sets are the same population and they should be considered together. D. There are two different populations that should be considered separately.
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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Refer to the accompanying |
036912036912xy A scatterplot has a horizontal x-scale from 0 to 12 in increments of 1 and vertical y-scale from 0 to 12 in increments of 1. Eight points are plotted, where four points, (3, 2), (3, 3), (4, 2), and (4, 3), form a square in the lower left of the scatterplot and four points, (7, 9), (7, 10), (8, 9), and (8, 10), form a square in the upper right of the scatterplot. |
- Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a
correlation between x and y for women. Choose the correct answer below.
A.
There does not appear to be a
B.
There does not appear to be a linear correlation because the points form an obvious pattern.
C.
There appears to be a linear correlation because the points form a line.
D.
There appears to be a linear correlation because the points form an obvious pattern.
- Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below.
A.
There does not appear to be a linear correlation because the points do not form a line.
B.
There appears to be a linear correlation because the points form an obvious pattern.
C.
There appears to be a linear correlation because the points form a line.
D.
There does not appear to be a linear correlation because the points form an obvious pattern.
- Find the linear
correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner(for men) have the same linear correlation coefficient?
The correlation coefficient for the points in the lower left corner is
r=nothing.
(Type an integer or a fraction.)
Do the four points in the upper right corner have the same correlation coefficient?
A.
Yes, because the four points in the upper right corner form the same pattern as the four points in the lower left corner.
B.
No, because the four points in the upper right corner form a different pattern from the four points in the lower left corner.
C.
Yes, because the four points in the upper right corner form a different pattern from the four points in the lower left corner.
D.
No, because the four points in the upper right corner form the same pattern as the four points in the lower left corner.
- Find the value of the linear correlation coefficient using all eight points. What does that value suggest about the relationship between x and y? Use
α
=
0.05.
The correlation coefficient for all eight points is
r=nothing.
(Round to three decimal places as needed.)
Using
α
=
0.05,
what does r suggest about the relationship between x and y?
A.
There
is
sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is
less
than the critical value.
B.
There
is not
sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is
less
than the critical value.
C.
There
is
sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is
greater
than the critical value.
D.
There
is not
sufficient evidence to support the claim of a linear correlation, because the correlation coefficient is
greater
than the critical value.
- Based on the preceding results, what can be concluded? Should the data from women and the data from men be considered together, or do they appear to represent two different and distinct populations that should be analyzed separately?
A.
The two data sets are the same population and they should be considered separately.
B.
There are two different populations that should be considered together.
C.
The two data sets are the same population and they should be considered together.
D.
There are two different populations that should be considered separately.
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