A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y)5 10 10 18 20 30 40 25 M = 18.75 S = 15.48 M = 20.75 S = 8.69 r = .68 a. Create a scatter plot of the data b. Calculate r and r2 c. Report results in APA style. d. What do results mean
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 psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep.
The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y)5 10 10 18 20 30 40 25 M = 18.75 S = 15.48 M = 20.75 S = 8.69 r = .68 a. Create a
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