Height and shoe sizeGROUP FIVEShaun A. Nichols Shaleen Teresinski

Identify research objective

• Formulate research question

- Is height related to shoe size in adult women in Salt Lake City, Utah?

• Identify possible Lurking Variables

- Shoe size varies by type of shoes, country, age, ethnicity, or gender?

Collection of data

• This was an observational study

• Explanatory variable is shoe size, response variable is height.

• Data was randomly collected for every n=4 adult female.

• A survey was used to collect the information

• Sample size n=47

Collection of dataheight (ht) & shoe size (US)

HT US HT US HT US HT US HT US

59.9 5 63 7.5 64 8 66 7.5 70 9

60 7 63 9.5 64 6 66 8.5 70 11

60 5.5 63 7 64 7.5 66 8 71 13

61 6 63 7 64 8 66 8.5

61 7.5 63 7.5 65 9 66 10

61 7 63.5 7 65 7 67 9

61.5 6 63.5 7.5 65 10 67 8.5

62 6 64 6.5 65 6 68 9

62 7.5 64 8 65 9 69 9.5

62 9 64 8 65 9 69 8.5

62 7 64 8 66 8 70 11

DATA DESCRIPTION

• Shoe Size statistical summary

– Five number summary

5, 7, 8, 9, 13

- Mean= 7.989

- Mode= 7, 7.5, 8, 9

- Range= 8

- Standard deviation= 1.545

- Outliners= 13

• Approximately normally distributed with a slight right skew

DATA DESCRIPTION(shoe size bar graph)

DATA DESCRIPTION(shoe size box plot)

DATA DESCRIPTION

• Height statistical summary

– Five number summary

59.9, 63, 64, 66, 71

- Mean= 64.5

- Mode= 64

- Range= 11.1

- Standard deviation= 2.801

- Outliners= 71

• Approximately 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.

• Correlation between Sort(var1-Height) and Sort(var2-Shoe size) is: 0.9669634

• Equation for Line of Regression:

- y=1.7x-104

inference

inference

• No statistically significant relationship based on a critical value lower than .381

• Critical 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?

questions