The Fitted Line Plot is used to graphically represent the relationship between a continuous dependent variable (Y) and an continuous independent variable (X), for a process operating in its natural state.
Reference: Minitab Reference Manual
A. Fitted Line through the data. The regression line is simply the one that best fits the plotted data, and relates the independent variable (X) to our dependent variable (Y) (see tool Linear Regression).
B. Confidence bands about the fitted regression line at a specified confidence level, (usually 95% level). In other words, we are 95% confident that the plotted data falls within these two lines.
C. Prediction bands about the fitted regression line at the confidence level specified, (usually 95% level). In other words, we are 95% confident that the fitted regression line “A” falls within these two lines.
D. Regression Equation - A prediction equation, which allows the values of the inputs to predict a corresponding output.
E. Coefficient of Determination: r2, is a number that represents the adequacy of the regression model or the amount of the variation in Y that can be explained by the regression equation.
This tool should be used after finding a satisfactory model through regression analysis.
1. Carry out regression analysis.
2. Analyze data with Minitab:
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A Quality Control Plan is a documented description of the activities needed to control a process or product. The objective of a QCP is to minimize variation.
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The Weibull distribution is applicable to make population predictions around a wide variety of patterns of variation.