Suppose a researcher wishes to find the relationship between X and Y. Question 1) The sample correlation between X and Y is: Question 2) What type of correlation is between X and Y Moderate negative correlation Week positive correlation Moderate positive correlation No correlation Question 3) To calculate the regression equation between X and Y, what is the stimate of the slope parameter? Question 4) To calculate the regression equation between X and Y, what is the estimate of the intercept parameter? Question 5) Which is the correct regression equation?
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.
Suppose a researcher wishes to find the relationship between X and Y.
Question 1) The sample
Question 2) What type of correlation is between X and Y
Moderate
Week
Moderate positive correlation
No correlation
Question 3) To calculate the regression equation between X and Y, what is the stimate of the slope parameter?
Question 4) To calculate the regression equation between X and Y, what is the estimate of the intercept parameter?
Question 5) Which is the correct regression equation?
Y = 11.8 + 1.05X
Y = -11.8 + 1.05X
X = -11.8 + 1.05Y
Y = 1.05 - 11.8X
Question 6) What is the fitted value of Y when X=31?
Question 7) What is the coefficient of fetermination?
0.4132
0.9831
0.7558
0.5712
| X | 24 | 26 | 28 | 30 | 32 |
| Y | 15 | 13 | 20 | 16 | 24 |
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