Height and shoe size GROUP FIVE Shaun A. Nichols Shaleen Teresinski

Identify research objective Formulate research questionFormulate research question - Is height related to shoe size in adult women in Salt Lake City, Utah? Identify possible Lurking VariablesIdentify possible Lurking Variables - Shoe size varies by type of shoes, country, age, ethnicity, or gender?

Collection of data This was an observational studyThis was an observational study Explanatory variable is shoe size, response variable is height.Explanatory variable is shoe size, response variable is height. Data was randomly collected for every n=4 adult female.Data was randomly collected for every n=4 adult female. A survey was used to collect the informationA survey was used to collect the information Sample size n=47Sample size n=47

Collection of data height (ht) & shoe size (US) HTUSHTUSHTUSHTUSHTUS

DATA DESCRIPTION Shoe Size statistical summaryShoe Size statistical summary – Five number summary 5, 7, 8, 9, 13 - Mean= Mode= 7, 7.5, 8, 9 - Mode= 7, 7.5, 8, 9 - Range= 8 - Standard deviation= Outliners= 13 Approximately normally distributed with a slight right skewApproximately normally distributed with a slight right skew

DATA DESCRIPTION (shoe size bar graph)

DATA DESCRIPTION (shoe size box plot)

DATA DESCRIPTION Height statistical summaryHeight statistical summary – Five number summary 59.9, 63, 64, 66, 71 - Mean= Mode= 64 - Mode= 64 - Range= Standard deviation= Outliners= 71 Approximately normally distributed, slight right skewApproximately normally distributed, slight right skew

DATA DESCRIPTION ( height bar graph)

DATA DESCRIPTION ( height box plot)

INFERENCE ( positive linear relationship) The correlation between the 2 variables is r=.967, which shows a strong linear correlation.The correlation between the 2 variables is r=.967, which shows a strong linear correlation. Correlation between Sort(var1-Height) and Sort(var2- Shoe size) is: Correlation between Sort(var1-Height) and Sort(var2- Shoe size) is: Equation for Line of Regression:Equation for Line of Regression: - y=1.7x-104

inference

inference No statistically significant relationship based on a critical value lower than.381No statistically significant relationship based on a critical value lower than.381 Critical value for this experiment is.266Critical value for this experiment is.266 Based on the data the inference can be made that there is no significant relationship between height and shoe size in adult women in Salt Lake City, Utah?Based on the data the inference can be made that there is no significant relationship between height and shoe size in adult women in Salt Lake City, Utah?

questions