Listed below are the numbers of commuters and the number of parking spaces at different Metro-North railroad stations. Use technology (calculator) to help you answer the following, and round to the 3 decimal places where rounding is necessary. . a. Find the linear regression line y = a + bx. b. Are the variables positively or negatively related? c. Find and interpret r2. Make sure to include what it means specific to this data set.
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.
Listed below are the numbers of commuters and the number of parking spaces at different Metro-North railroad stations.
Use technology (calculator) to help you answer the following, and round to the 3 decimal places where rounding is necessary. .
a. Find the linear regression line y = a + bx.
b. Are the variables positively or negatively related?
c. Find and interpret r2. Make sure to include what it means specific to this data set.
d. Use your regression line to make a prediction for the number of parking spaces for a station with 900
e. Identify and interpret the slope of the linear model.
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