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Created: Apr 4, 2017
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The New Years Weight Loss Phenomenon by Diane Leiba
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My group and I designed a survey called "The New Years Weight Loss Phenomenon", to compare weight loss success by the motivation of a new year's resolution, verses Physician recommendations.   The information for the survey was not randomly selected, but, was sent out to facebook friends and contacts via email.  The results were automatically entered into a file and assigned a number, all results remain anonymous for the respondants and from the group.  

The questions submitted in the survey are as follows:

1) What is your personal goal weight that would make you happy?

2) What is your current weight?

3) Has a healthcare provider recommended to you the need to lose weight to control an actual or potential           medical problem? Yes/No. 

4) How motivated are you to reach your new years' weight Loss goals? Please choose one of the following;           very unmotivated, unmotivated, somewhat motivated, motivated, very motivated.

 EXAMINATION OF DATA............

In response to the question, "How motivated are you to reach your new years' weight Loss goals?" The following Pie Chart will display the results.  

Result 1: Pie Chart With Data   [Info]
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This survey was published in the month of January, and the Pie Chart shows higher motivation responses with the highest being 39% somewhat motivated, followed by 27% very motivated and 25% motivated.  Few were unmotivated at all in January. 

Now, lets examine the question, "Has a healthcare provider recommended to you the need to lose weight to control an actual or potential medical problem? Yes/No", and compare it to the factor of motivation as seen in the Bar Plot listed below.

Result 2: Bar Plot With Data   [Info]
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Based on the results in the Bar Plot, we can see that the group that answered "No" to following a Physicians' recommendation had greater frequency and correlation to motivation, verses the group that answered "yes".

 

Let's look at the real numbers from the question, "What is your current weight? Placing the current weights in a Histogram to evaluate how the weights compare.

Result 3: Histogram of current weight   [Info]
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This Frequency Histogram shows the current weights of the respondants displayed in a normal distribution, "Bell Shaped", that is symmetric without gaps.  The median weight being 180 lbs, max 330 lbs, min 118 lbs, with the mid-range being 224 lbs and the range being 212 lbs.  The mode is non-unique unimodal with a mean of 182.37 and a standard deviation of 42.076041.

 

Let's also use a Boxplot Graph to look for outliners pertaining to "Current Weight".

Result 4: Boxplot current weight   [Info]
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Result 5: Summary Stats of current weight   [Info]
Summary statistics:
ColumnnMeanVarianceStd. dev.MedianRangeMinMaxQ1Q3
current weight101182.371291770.393342.076041180212118330147205

The Boxplot allows use to visualize that there are outliers that greatly affect the mean and the standard deviation.  These higher weights that are far outside the normal patterns are responsible for obscuring the true nature of the distribution.  Other than visualizing outliers, the data also reflexs an outlier.  The Box plot shows the minimun whiskers at 118 lbs and the distal whiskers reaching to a maximum of 330 lbs.  After subtracting Q1(147) lbs. from Q3(205) lbs. and multiplying it by 1.5 for the Intraquartile range (IQR), the outlier was seen again as 274.5 (a number that is higher than Q3 data value).  

 

Using a Scatter Plot to visualize the strength of the correlation between, "Current Weight and Goal Weight" on an (XY) axis. 

Result 6: Scatter Plot goal weight vs. current weight   [Info]
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Result 7: Correlation for paired data goal weight and current weight   [Info]
Correlation between goal weight and current weight is:
0.76406076

Analyzing the data received from the respondants of their current and goal weights using the scatter Plot shows a positive, linear correlation between the respondants current weights and goal weights.  That the higher the weights being reported, there is a strong desire to reach a goal weight.  The Linear Correlation of 0.76406076 shows a strong positive reflection towards +1.  

This survey showed a strong motivation to loose weight in January to reach a goal weight, more for personal reasons rather than by the recommendation of a Physician.  The more a person weighed, the more the goal to reach a weight that would make them happy was expressed.  

 

Data set 1. The new years weight loss phenomenon survey with u   [Info]
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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=66542">The New Years Weight Loss Phenomenon by Diane Leiba</A>

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