A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs: Sample Size: n=15 Regression Equation: y hate =0.359 - 1.264x Coefficient of Determination: r square = 0.915 Sums of Squares :SSy = 35.617. SSex = 32.589, SSresid = 3.028 a. Calculate the standard error Se. b. write a sentence interpreting the value of rsquare. c.What is the value of Pearson's correlation coefficient? d. Determine whether the variables x and y are significant using a 5% significance level. You may assume a simple random sample from a bivariate normal populaton.
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.
A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs:
Regression Equation: y hate =0.359 - 1.264x
Coefficient of Determination: r square = 0.915
Sums of Squares :SSy = 35.617. SSex = 32.589, SSresid = 3.028
a. Calculate the standard error Se.
b. write a sentence interpreting the value of rsquare.
c.What is the value of Pearson's
d. Determine whether the variables x and y are significant using a 5% significance level. You may assume a simple random sample from a bivariate normal populaton.
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