Consider the following data x -5 -4 -3 -2 -1 0 1 2 3 4 5 Y - 125 - 64 - 27 -8 -1 0 1 8 27 64 125 a. Calculate the correlation between x and y, and perform a hypothesis test to determine if the correlation is significantly greater than zero. Use a significance level of 5%. b. Are you willing to conclude that there is a strong linear association between the two variables? Use at least one graph to support your answer, and to explain why or why not.
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.
Consider the following data
x -5 -4 -3 -2 -1 0 1 2 3 4 5
Y - 125 - 64 - 27 -8 -1 0 1 8 27 64 125
a. Calculate the
b. Are you willing to conclude that there is a strong linear association between the two variables? Use at least one graph to support your answer, and to explain why or why not.
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