An ANOVA Test Was Conducted to See Whether Running Shoe

question 40

Essay

An ANOVA test was conducted to see whether running shoe sole type (Type A, Type B, or Type C)had an effect on shoe wear over a six month period. Test results warranted
post- hoc procedures. The Tukey HSD approach was used with the following results:
Is there evidence that one type of running shoe sole wears better than the others? Which type of running shoe sole appears to wear the best? Explain.

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Definitions:

Sum of Squares for Regression

The sum of squares for regression quantifies the variation explained by the regression model, comparing the fitted values against the mean of the dependent variable.

SSR

Stands for Sum of Squares due to Regression, which measures the variation explained by the regression line in the context of statistical analysis.

Simple Linear Regression

A statistical method for examining the linear relationship between two quantitative variables; one variable is used to predict the outcome of another.

Probabilistic Model Equation

A mathematical representation of a statistical model that incorporates randomness and accounts for the probability of various outcomes.