Picture attached. Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= -0.863 State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t=1.869 (b) t=0 (c) t=−1.784 (d) t= -1.879 (a) For t=1.869, should you reject or fail to reject the null hypothesis? A. Fail to reject H0, because t<−1.834. B. Reject H0, because t<−1.834. C. Reject H0, because t>−1.834. D. Fail to reject H0, because t>−1.834. (b) For t=0, should you reject or fail to reject the null hypothesis? A. Reject H0, because t>−1.834. B. Reject H0, because t<−1.834. C. Fail to reject H0, because t>−1.834. D. Fail to reject H0, because t<−1.834. (c) For t=−1.784, should you reject or fail to reject the null hypothesis? A. Fail to reject H0, because t>−1.834. B. Fail to reject H0, because t<−1.834. C. Reject H0, because t<−1.834. D. Reject H0, because t>−1.834. (d) For t=−1.879, should you reject or fail to reject the null hypothesis? A. Fail to reject H0, because t<−1.834. B. Fail to reject H0, because t>−1.834. C. Reject H0, because t>−1.834. D. Reject H0, because t<−1.834.
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.
Picture attached.
Use the value of the linear
r= -0.863
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
(a) t=1.869
(b) t=0
(c) t=−1.784
(d) t= -1.879
(a) For t=1.869, should you reject or fail to reject the null hypothesis?
A.
Fail to reject
H0,
because
t<−1.834.
B.
Reject
H0,
because
t<−1.834.
C.
Reject
H0,
because
t>−1.834.
D.
Fail to reject
H0,
because
t>−1.834.
(b) For t=0, should you reject or fail to reject the null hypothesis?
A.
Reject
H0,
because
t>−1.834.
B.
Reject
H0,
because
t<−1.834.
C.
Fail to reject
H0,
because
t>−1.834.
D.
Fail to reject
H0,
because
t<−1.834.
(c) For t=−1.784, should you reject or fail to reject the null hypothesis?
A.
Fail to reject
H0,
because
t>−1.834.
B.
Fail to reject
H0,
because
t<−1.834.
C.
Reject
H0,
because
t<−1.834.
D.
Reject
H0,
because
t>−1.834.
(d) For
t=−1.879,
should you reject or fail to reject the null hypothesis?
A.
Fail to reject
H0,
because
t<−1.834.
B.
Fail to reject
H0,
because
t>−1.834.
C.
Reject
H0,
because
t>−1.834.
D.
Reject
H0,
because
t<−1.834.
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