In a 45-story Skyscraper, residents of different floors have different levels of elevator usage: Floor Number 32 18 14 25 37 22 10 27 11 19 15 34 Elevator use per person 92 52 35 85 105 72 18 94 16 57 41 87 a) Find the relationship between elevator use per person and floor number using a scatter diagram and interpret. b) Find correlation coefficient and comment. c) Fit a least square regression equation (line) of elevator use per person on floor number and comment. d) What will be the elevator use per person when floor number is 21? e) Comment on the regression equation and explore how well it fits.
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.
In a 45-story Skyscraper, residents of different floors have different levels of elevator usage:
| Floor Number | 32 | 18 | 14 | 25 | 37 | 22 | 10 | 27 | 11 | 19 | 15 | 34 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Elevator use per person | 92 | 52 | 35 | 85 | 105 | 72 | 18 | 94 | 16 | 57 | 41 | 87 |
a) Find the relationship between elevator use per person and floor number using a
b) Find
c) Fit a least square regression equation (line) of elevator use per person on floor number and comment.
d) What will be the elevator use per person when floor number is 21?
e) Comment on the regression equation and explore how well it fits.
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