An Architect wants to determine the relationship between the height of the building and the number of stories of the building. The data is given for 5 buildings. Height of the building (X) Number of stories (Y) X2 Y2 X*Y 80 19 67 15 120 22 90 20 75 18
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.
- An Architect wants to determine the relationship between the height of the building and the number of stories of the building. The data is given for 5 buildings.
|
Height of the building (X) |
Number of stories (Y) |
X2 |
Y2 |
X*Y |
|
80 |
19 |
|
|
|
|
67 |
15 |
|
|
|
|
120 |
22 |
|
|
|
|
90 |
20 |
|
|
|
|
75 |
18 |
|
|
|
1.a) Complete the given table ( 2+2+2)
- b) Find the
correlation coefficient between the variables. . (2)
c) Comment on the relationship between the variables.
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