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Owner: tpmooney33
Created: Jun 14, 2013
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Views: 2246
Tags: Pet, Ownership
 
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Pet Ownership Survey
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The purpose of this survey is to learn more about types of pets our participants own, prefer, how often they interact with their pets and whether or not their pets were spayed or neutered.  The participants were not selected at random; the questions were directed strictly to pet owners; my participants were selected among coworkers and family members.  My group and I asked the following questions:

Data to be obtained from:  Pet Owners

1. How many pets do you have? ________ Pets

2. How many days per week do you play with your pet? _______ Days

3. Do you have a pet that has been spayed/neutered?  Yes  No

4. What kind of pet do you prefer? (circle one) Cat  Dog Both Other

  

The attached data set is not available.

LOOKING AT A CATEGORICAL VARIABLE

The results of the pie chart in response to question 4 indicates that more survey participants are dog owners.

Result 1: Pie Chart for Pet Preferences   [Info]
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It can be seen that over 50% of pet owners surveyed own a dog while only a little more than 18% own cats; around 16% own both and around 12% own other types of pets.  

LOOKING AT A NUMERICAL VARIABLE

The grouped bar plot is in response to question 3 indicating that more pet owners opted to have their pets spayed/ neutered.

Result 2: Bar plot with data for spay/ neuter   [Info]
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As you can see, a lot more pet owners have had their pets spayed/ neutered as opposed to those that haven't.  All of the pet owners under the "both" category did have their pets spayed/ neutered.   

The histogram, boxplot, and summary statistics is in response to question 1 indicating the number of pets owned by each participant.

Result 3: Histogram for number of pets   [Info]
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Result 4: Boxplot for number of pets   [Info]
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Result 5: Column Statistics for number of pets   [Info]
Summary statistics:
Column n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3
var2 100 2.53 5.88798 2.426516 0.2426516 2 15 0 15 1 3

The histogram shows a right skewed distribution with the data indicating most participants own between 1 and 5 pets.

The center of the skewed data set is best represented by the median which is 2 pets per participant whereas the mean is 2.53 pets per participant.  The midrange (15+0/2) is 7.5 and does not serve as a reasonable measure of center for this data.  The mean is greater than the median hence the right skewed histogram.

The boxplot shows several outliers which I have identified as 6,7, 9, 14, and 15.  They have an average of playing with their pets 6 days a week.    

The scatterplot below suggests how many days/ week each participant plays with their pet(s).

Result 6: Scatter Plot for number of pets and play   [Info]
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The scatterplot is negatively skewed and reveals several outliers; the two that really stand out are 15 pets, 7 days and 14 pets, 7 days.

Result 7: Simple Linear Regression for Pet Survey   [Info]
Simple linear regression results:
Dependent Variable: var2
Independent Variable: var3
var2 = 1.5562485 + 0.17999104 var3
Sample size: 100
R (correlation coefficient) = 0.1613
R-sq = 0.026020901
Estimate of error standard deviation: 2.406925

Parameter estimates:
Parameter Estimate Std. Err. Alternative DF T-Stat P-Value
Intercept 1.5562485 0.64814377 ≠ 0 98 2.4010854 0.0182
Slope 0.17999104 0.11123756 ≠ 0 98 1.6180778 0.1089


Analysis of variance table for regression model:
Source DF SS MS F-stat P-value
Model 1 15.167844 15.167844 2.6181757 0.1089
Error 98 567.7421 5.7932873
Total 99 582.91

 

Indicates the correlation coefficient (r) which is 0.1613.  It is a correlation of number of pets/ number of hours a day participants play with their pets.  Since the absolute value of r is less than .196, we can conclude  that there is not a significant correlation between number of pets owned and number of days/week each participant plays with their pets.   

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=32295">Pet Ownership Survey</A>

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