Asked by solin talamantes on May 26, 2024
Verified
Six points have these coordinates: The normal probability plot and the residuals versus fitted values plots generated by Minitab are shown below. Does it appear that any regression assumptions have been violated?
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Explain.
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Regression Assumptions
Fundamental conditions that must be met for the results of a regression analysis to be valid, including linearity, independence of errors, homoscedasticity, and normality of residuals.
Normal Probability Plot
A graphical technique for assessing whether or not a data set is approximately normally distributed, plotting observed values against normally distributed scores.
Residuals Versus Fitted Values
A method to visualize the difference between observed values and those predicted by a model, useful in diagnosing model fit.
- Familiarize oneself with the basic premises upon which simple linear regression analysis is built, including the assumptions of a normal distribution, constant variability, and the autonomy of data points.
- Develop the skill to assess the assumptions of regression through the analysis of residual plots.
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Learning Objectives
- Familiarize oneself with the basic premises upon which simple linear regression analysis is built, including the assumptions of a normal distribution, constant variability, and the autonomy of data points.
- Develop the skill to assess the assumptions of regression through the analysis of residual plots.
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