A psychologist is investigating the relationship between the number of Facebook friends Facebook users have and the number of face-to-face conversations they have. That data are shown below. Friends (x) 644 660 573 519 124 277 475 interactions (y) 27 25 24 21 12 10 22 Use the calculator to calculate a linear model. ˆy=a+bxy^=a+bx ˆy=y^= (Make sure your answer above is in the form "number + number*x" and round both numbers to two decimal places) Use the model to estimate the number of face to face interactions if they have 131 friends. Round your answer to two decimal places.
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 is investigating the relationship between the number of Facebook friends Facebook users have and the number of face-to-face conversations they have. That data are shown below.
| Friends (x) | 644 | 660 | 573 | 519 | 124 | 277 | 475 |
|---|---|---|---|---|---|---|---|
| interactions (y) | 27 | 25 | 24 | 21 | 12 | 10 | 22 |
Use the calculator to calculate a linear model. ˆy=a+bxy^=a+bx
ˆy=y^=
(Make sure your answer above is in the form "number + number*x" and round both numbers to two decimal places)
Use the model to estimate the number of face to face interactions if they have 131 friends. Round your answer to two decimal places.
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