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Chapter 11

## Correlation and Regression

In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the…
The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the…
The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the…
Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent…
An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it…
The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the…
A residual plot is a statistical representation of data used to analyze correlation and regression results. It helps verify the requirements for…
An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the…
The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable. However, the point…
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many…
Iron, one of the most important micronutrients in living organisms, is involved in basic processes, such as respiration and photosynthesis. Iron…
Cannabis is the illicit drug most commonly used worldwide, and its consumption can both induce psychiatric symptoms in otherwise healthy subjects and…
Unlike macroscopic process variables, near-infrared spectroscopy provides process information at the molecular level and can significantly improve…

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