5) A researcher finds that there is a positive correlation between number of hours a person sleeps the night before an exam (variable X) and their performance on the exam (variable Y). However, they are concerned that this relationship only exists because of conscientiousness (variable Z). Specifically, conscientious people tend to get more sleep and also tend to perform well on tests. Using the data below, please determine where there is a relationship between hours of sleep one gets the night before an exam and performance on the exam after accounting for the role of conscientiousness (alpha = .05, two-tailed). sleep exam grade conscientiousness 6 63 3 2 66 4 1 60 2.5 75 3.5 8 90 5 9 88 4.5 10 92 6 a) What type statistical analysis should you perform? Please explain your rationale | b) Please state the null and alternative hypotheses c) Please write out the results and make a decision d) Please make a general conclusion (no stat talk) 4.
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.
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