Application of linear regression age pa(y) 20 120 43 128 63 141 26 126 53 134 31 128 58 136 46 132 58 140 70 144 1) Fill in the correlation table 2) Find the correlation between age and blood pressure using Pearson's correlation coefficient and comment on the nature and strength of the coefficient 3) Make the scatter plot 4) Find the regression equation 5) What is the predictable blood pressure for a 20-year-old man? 6) Plot the regression line
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.
Application of linear regression
age pa(y)
20 | 120 |
43 | 128 |
63 | 141 |
26 | 126 |
53 | 134 |
31 | 128 |
58 | 136 |
46 | 132 |
58 | 140 |
70 | 144 |
1) Fill in the
2) Find the correlation between age and blood pressure using Pearson's
3) Make the
4) Find the regression equation
5) What is the predictable blood pressure for a 20-year-old man?
6) Plot the regression line
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