Please fill in the blank and answer the following questions: SUMMARY OUTPUT Regression Statistics Multiple R ______ R Square ______ Adjusted R Square 0.125 Standard Error ______ Observations ______ ANOVA df SS MS F Significance F Regression 1 0.828 ______ ______ 0.2308 Residual ______ 2.227 ______ Total 6 ______ Coefficients Standard Error t Stat P-Value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 112.413 9.484 11.853 7.52722E-05 88.033 136.793 ______ ______ X -19.137 14.033 -1.364 0.231 -55.211 16.937 ______ ______ a. What is the coefficient of determination? b. What is the coefficient of correlation? c. Interpret the coefficient of determination. d. Interpret the coefficient of correlation. e. Interpret the meaning of the Y intercept b0.
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.
- Please fill in the blank and answer the following questions:
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SUMMARY OUTPUT |
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Regression Statistics |
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Multiple R |
______ |
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R Square |
______ |
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Adjusted R Square |
0.125 |
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Standard Error |
______ |
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Observations |
______ |
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ANOVA |
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df |
SS |
MS |
F |
Significance F |
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Regression |
1 |
0.828 |
______ |
______ |
0.2308 |
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Residual |
______ |
2.227 |
______ |
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Total |
6 |
______ |
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Coefficients |
Standard Error |
t Stat |
P-Value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
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Intercept |
112.413 |
9.484 |
11.853 |
7.52722E-05 |
88.033 |
136.793 |
______ |
______ |
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X |
-19.137 |
14.033 |
-1.364 |
0.231 |
-55.211 |
16.937 |
______ |
______ |
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a. What is the coefficient of determination? |
b. What is the coefficient of |
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c. Interpret the coefficient of determination. |
d. Interpret the coefficient of correlation. |
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e. Interpret the meaning of the Y intercept b0.
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