The problem Due to financial hardship the Nyke shoe company
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.
Solution
SOl)
The Regression equation is
y=a+bx
where y is size and x is height
From Excel
From above analysis
y= -29.0566 +0.5540(height)
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.86434 | |||||||
| R Square | 0.747084 | |||||||
| Adjusted R Square | 0.73942 | |||||||
| Standard Error | 1.318375 | |||||||
| Observations | 35 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 169.428 | 169.428 | 97.47819 | 2.23E-11 | |||
| Residual | 33 | 57.3577 | 1.738112 | |||||
| Total | 34 | 226.7857 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | -29.0566 | 3.875456 | -7.4976 | 1.28E-08 | -36.9413 | -21.1719 | -36.9413 | -21.1719 |
| Height | 0.554074 | 0.05612 | 9.873105 | 2.23E-11 | 0.439898 | 0.66825 | 0.439898 | 0.66825 |
