Ozone The Environmental Protection Agency is examin-ing the relationship between the ozone level (in parts per million) and the population (in millions) of U.S. cities.Part of the regression analysis is shown.Dependent variable is: OzoneR-squared = 84.4%s = 5.454 with 16 - 2 = 14 dfVariable Coefficient SE(Coeff)Intercept 18.892 2.395Pop 6.650 1.910a) We suspect that the greater the population of a city, thehigher its ozone level. Is the relationship significant?Assuming the conditions for inference are satisfied, test an appropriate hypothesis and state your conclu-sion in context. b) Do you think that the population of a city is a usefulpredictor of ozone level? Use the values of both R2and s in your explanation.
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.
ing the relationship between the ozone level (in parts per
Part of the
Dependent variable is: Ozone
R-squared = 84.4%
s = 5.454 with 16 - 2 = 14 df
Variable Coefficient SE(Coeff)
Intercept 18.892 2.395
Pop 6.650 1.910
a) We suspect that the greater the population of a city, the
higher its ozone level. Is the relationship significant?
Assuming the conditions for inference are satisfied,
sion in context.
predictor of ozone level? Use the values of both R2
and s in your explanation.
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