I. Introduction
My group and I designed a survey to learn about physician/patient relationships and how they affect patient motivation in following through with a weight loss management program. The population was young adults. Our group polled friends on Facebook and coworkers. We have a convenience sampling, because it was easy to get. Some coworkers were too busy to participate.
We asked the following questions:
1. What is your personal goal weight that would make you happy?
2. What is your current weight?
3. Has a healthcare provider recommend to you the need to lose weight to control an actual or potential medical problem? Yes or No
4. How motivated are you to reach your New Year’s weight loss? Please choose one of the following: Very Motivated/ Motivated/ Somewhat Motivated/ Unmotivated/ Very Unmotivated
II. Looking at a Categorical Variable
The responses to the question,” How motivated are you to reach your New Year’s weight loss? Please choose one of the following: Very Motivated/ Motivated/ Somewhat Motivated/ Unmotivated/ Very Unmotivated, are shown in the pie chart below:
The pie chart displays that most of the participants were somewhat motivated, roughly 36%. Next, roughly 27% were very motivated. Then, roughly 22% of the participants were motivated. Less than 1% of the participants were very unmotivated.
In order to see if the motivation to lose weight for New Year’s differ according to if a healthcare provider recommended weight loss to control an actual or potential medical problem.
According to the bar plot, most participants who answered “No” to the providers recommendation to lose weight has a relative frequency of 0.268, and was somewhat motivated. Next, the very motivated category with a relative frequency of 0.218. Then, the motivated participants have a relative frequency of 0.149. As compared to the participants who answered “Yes” to the provider’s recommendation to lose weight has a significant difference to the group that answered “No”. The participants who answered “Yes”, only 0.089 were somewhat motivated. Next, the participants who were motivated had a relative frequency of 0.069. The participants who were very motivated had a relative frequency of 0.050. There was an outlier; the participants who were very unmotivated had a relative frequency of 0.020.
III. Looking at a Numerical Variable.
The responses to the question,” What is your personal goal weight that would make you happy?” see the results of the histogram, box plot and summary statistics below.
Summary statistics:

The histogram is skewed to the right, the distribution shape is not symmetric and unimodal with a mode of 32. The histogram has an outlier between 0 and 25 with a frequency of 1. The box plot shows one outlier and the IQR is 45, because Q3= 175 and Q1= 130. The summary statistics shows that the center or mean is 150. The standard deviation is 31.259. The range is 215, with a minimum of 20 and a maximum of 235 and a data set of 101.
According to the histogram, the median/mean is 150 as well as the box plot. The histogram is not symmetric and skewed to the right. The histogram contains one outlier of 025 with a frequency of 1. According to the summary statistics, the mean is 152 and the median is 150. The standard deviation is 31.3, and means that a larger standard deviation shows that the data is spread away from the mean more.
A disadvantage of the mean is that just one extreme value (outlier) can change the value of the mean. The median doesn’t change by large amounts when we include just a few extreme values.
The range is 215/4= 53.75 is not a good approximation of the standard deviation of 31.3, because of the right skewness of the data and the outlier, it over estimates the standard deviation.
The box plot shows 1 outlier with a goal weight of 20. The whiskers stop at the last data value before any outliers. According to the question, “What is your personal goal weight that would make you happy?” I don’t believe that a weight goal of 20 is lifesustaining. It has to be an error.
IV. Looking for a Relationship between Two Numerical Variables
To determine whether or not there is a relationship between the two questions, “What is your personal goal weight that would make you happy?” and “What is your current weight?” See results in the scatter plot below.
The scatter plot has an upward (positive) direction with a linear form and a little scatter.
The correlation coefficient for the paired data is 0.698 as shown below.
Correlation between goal weight and current weight is: 0.69759869 
The correlation between what is your personal goal weight that would make you happy, and what is your current weight is 0.698, so therefore the correlation is statistically significant.
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