height and shoe size group five shaun a. nichols shaleen teresinski
TRANSCRIPT
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