The problem: Due to financial hardship, the Nyke shoe company feels they only ne
ID: 3020318 • Letter: T
Question
The problem: Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one of shoes- regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support findings. The data found are below: Solve real world problems by designing a study, collecting data, analyzing the data, and writing up the results. Write up the results, using statistical evidence to support your findings.
Explanation / Answer
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 2 203.17 101.586 137.67 0.000
Height 1 50.19 50.194 68.02 0.000
Gender 1 33.74 33.744 45.73 0.000
Error 32 23.61 0.738
Lack-of-Fit 18 12.49 0.694 0.87 0.613
Pure Error 14 11.13 0.795
Total 34 226.79
Model Summary
S R-sq R-sq(adj) R-sq(pred)
0.859021 89.59% 88.94% 86.92%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant -15.35 3.24 -4.74 0.000
Height 0.3735 0.0453 8.25 0.000 1.53
Gender
1 -2.433 0.360 -6.76 0.000 1.53
Regression Equation
Gender
0 Shoe Size = -15.35 + 0.3735 Height
1 Shoe Size = -17.79 + 0.3735 Height
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