You are part of a sleep research team interested in the relationship between how much sleep an individual receives and their cognitive functioning. You conduct a correlational study and obtain the following data: Hours slept (X) Reading Comprehension (Y) 4 2 7 6 9 8 5 5 6 2 ΣX = 31; ΣY = 23; ΣX2 = 207; ΣY2= 133; ΣXY = 159 SSX = 14.8; SSY = 27.2; SP = 16.4 Compute the Pearson correlation (r-value) for the data. Provide a conclusion regarding the strength and direction of the relationship between hours slept and reading comprehension based on the r-value.
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.
You are part of a sleep research team interested in the relationship between how much sleep an individual receives and their cognitive
|
Hours slept (X) |
Reading Comprehension (Y) |
| 4 | 2 |
| 7 | 6 |
| 9 | 8 |
| 5 | 5 |
| 6 | 2 |
ΣX = 31; ΣY = 23; ΣX2 = 207; ΣY2= 133; ΣXY = 159
SSX = 14.8; SSY = 27.2; SP = 16.4
Compute the Pearson
Provide a conclusion regarding the strength and direction of the relationship between hours slept and reading comprehension based on the r-value.
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