) A researcher is interested in seeing the relationship between the number of hours slept and mood. Mood was measured on a scale from 1-10, with higher scores indicating happier mood. Hours Slept (X) Mood (Y) 5 2 7 4 8 7 6 2 6 3 10 6   The following have whole number answers. As such please write only the number and not any decimal. For example write "1" and not "1.0". If any answer is negative, put the negative sign in front of the answer. For example write "-1". [a] What is ΣXY?               [b] What is ΣX?                 [c] What is ΣY?                  [d] What is SP?                  [e] What is SSx?                                [f] What is SSy?       g) What is the Pearson Correlation (r)?    Please answer all the steps from a to f, and do not leave the question incomplete thanks

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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.