10. AMERICAN ARISTOCRACY? Below are the results of a regression of respondent’s socioeconomic index (a composite measure whose calculation does not concern us here) on their father’s socioeconomic index score. What do the data say? At an alpha of 0.05, there ____ a relationship between the two variables because _____ ; the correlation is not shown directly but can be computed from the output — it is ___ . a. is probably; zero does not appear in the 95 percent CI, among other things; relatively small, at about 0.27. b. is probably; the standard error is close to zero; relatively large, at about 0.27. c. is probably not; r-squared is relatively large; 12.04. d. is probably not; the regression slope is 34.5; 26.7.
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.
10. AMERICAN ARISTOCRACY? Below are the results of a regression of respondent’s socioeconomic index (a composite measure whose calculation does not concern us here) on their father’s socioeconomic index score. What do the data say? At an alpha of 0.05, there ____ a relationship between the two variables because _____ ; the
a. is probably; zero does not appear in the 95 percent CI, among other things; relatively small, at about 0.27.
b. is probably; the standard error is close to zero; relatively large, at about 0.27.
c. is probably not; r-squared is relatively large; 12.04.
d. is probably not; the regression slope is 34.5; 26.7.
![reg seil0 paseil0
Source
df
MS
Number of obs
1,784
%3D
F(1, 1782)
144.87
Model
71468.0333
1
71468.0333
Prob > F
0.0000
Residual
879081.42
1,782
493.311684
R-squared
0.0752
%3D
Adj R-squared
0.0747
%3D
Total
950549.453
1,783
533.118033
Root MSE
%3D
22.211
sei10
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
pasei10
3093595
.0257021
12.04
0.000
.2589501
3597689
_cons
34.48553
1.291311
26.71
0.000
31.95289
37.01818](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac30b60c-9e7b-44e7-860e-5f8aa6c03e27%2F3c29c8a9-a169-4e31-80bf-b02de7abe82d%2F5q5r97_processed.png&w=3840&q=75)
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