Consider the following data on x= height of a building and y = number of stories for nine notable buildings in Atlanta, GA. Height,x 869 820 771 696 692 676 656 492 486 Stories,y 60 50 50 52 40 47 41 39 26 a. Find a linear regression model for this data. b. Write a sentence to interpret the meaning of the slope ℬ1 hate from your model. c. Does the population have a significant slope? Test at the 5% significane level. You may assume the assumptions of linear regression are satisfied.
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.
Consider the following data on x= height of a building and y = number of stories for nine notable buildings in Atlanta, GA.
Height,x 869 820 771 696 692 676 656 492 486
Stories,y 60 50 50 52 40 47 41 39 26
a. Find a linear regression model for this data.
b. Write a sentence to interpret the meaning of the slope ℬ1 hate from your model.
c. Does the population have a significant slope? Test at the 5% significane level. You may assume the assumptions of linear regression are satisfied.
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