Assume that researchers measure the concussion screening score using a smart phone app, X, and also measure the score by a comprehensive concussion exam by a physician, Y. The scores are reported in the following table. The researchers also report the sX = 9 and sY = 17.34 and the Pearson’s r between X and Y is .764. What is the regression line using X to predict Y? X Y 8 100 10 113 15 126 22 125 27 115 28 135 30 154
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.
Assume that researchers measure the concussion screening score using a smart phone app, X, and also measure the score by a comprehensive concussion exam by a physician, Y. The scores are reported in the following table. The researchers also report the sX = 9 and sY = 17.34 and the Pearson’s r between X and Y is .764. What is the regression line using X to predict Y?
|
X |
Y |
|
8 |
100 |
|
10 |
113 |
|
15 |
126 |
|
22 |
125 |
|
27 |
115 |
|
28 |
135 |
|
30 |
154 |
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