t2 mx sc1 5.3 Statistics Φ Name:
FL  FiboBelly ratio 
AS  1.600 
YW  1.636 
HP  1.655 
CH  1.655 
LR  1.690 
LN  1.714 
GS  1.714 
AG  1.720 
The FiboBelly ratio is the ratio of your height in centimeters divided by the height of your belly button (your height divided by the long measure in the diagram). A well circulated myth is that this ratio is, on average, the golden ratio Φ =
$\frac{1+\sqrt{5}}{2}$
. Retain four face digits in your answers! Enter data carefully, double check your data entry!
 __________ What level of measurement is the data?
 __________ Calculate the sample size n for the data.
 __________ Determine the minimum.
 __________ Determine the maximum.
 __________ Calculate the range.
 __________ Calculate the midrange.
 __________ Determine the mode.
 __________ Determine the median.
 __________ Calculate the sample mean x.
 __________ Calculate the standard deviation sx.
 __________ Calculate the sample coefficient of variation CV.
 __________ If this data were to be divided into three classes, what would be the width of a single class?

Determine the frequency and calculate the relative frequency using three classes.
Record your results in the table provided.
FiboBelly CUL (m)  Frequency (f)  Relative Frequency p(x) 
  
  
  
Sum:   
 Sketch a frequency histogram chart of the data anywhere it fits,
labeling your horizontal axis and vertical axis as appropriate.
 ____________________ What is the shape of the distribution?
 __________ Use the sample mean x and standard deviation sx
calculated above to determine the zscore for Shanalin's fibobelly ratio of 2.036.
 ____________________ Is the zscore for a fibobelly ratio 2.036 an ordinary or unusual zscore?
 __________ What is the probabity that a fibobelly ratio is greater than 1.68?
 __________ What is the probability of rolling a four or a multiple of four on a twelve sided die numbered one to twelve?

Name  FiboBelly ratio  Height 
Dana  1.619  67 
Marlin  1.721  58.5 
Tristan  1.850  37 
The table contains fibobelly data verus height data for three individuals.
_________ Calculate the sample size n.
 _________ Calculate the slope of the linear regression.
 _________ Calculate the yintercept of the linear regression.
 _________ Is the relationship positive, negative, or neutral?
 _________ Calculate the correlation coefficient r for the data.
 ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
 _________ Determine the coefficient of determination.
 _________ What percent in the variation in the fibobelly ratio "explains" the variation in height?
 _________ Use the slope and intercept to predict the height for a fibobelly ratio of 1.800
 _________ Use the slope and intercept to predict the fibobelly ratio for a height of 50 inches.
Note: The relationship above is not statistically significant  the sample size is far too small. Over a larger sample the variables relate randomly at a given age. For the purposes of this test the sample size was kept small.