The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.14 + 0.091x. (a) What is the true average flow rate for a pressure drop of 10 in.? CORRECT: 0.77 A drop of 15 in.? CORRECT: 1.225 (b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop? CORRECT: 0.091 (c) What is the average change in flow rate when pressure drop decreases by 5 in.?
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.
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The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.14 + 0.091x.
(a) What is the true average flow rate for a pressure drop of 10 in.? CORRECT: 0.77
A drop of 15 in.? CORRECT: 1.225
(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop? CORRECT: 0.091
(c) What is the average change in flow rate when pressure drop decreases by 5 in.?
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