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Icecream sales vs. temperature increase

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by

Emma S

on 20 January 2016

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Transcript of Icecream sales vs. temperature increase

Is there a linear relationship between ice cream sales and temperature?
Individuals: Ice cream, temperature
Variable: Increase in ice cream sales
Type of Variable: Quantitative
Explanatory: Temperature [degrees Fahrenheit]
Response: Ice cream sales [dollars]
Describe the Data

Gather the Data
Plot the Data
Correlation Coefficient, r: 0.9571858863
Correlation Coefficient, r (without outlier): 0.9571858863
Correlation Coefficient, r
Interpret Linear Relationship between 2 variables
"A Visual Explanation of Linear Regression in Excel." Bacon Bits. 13 Feb. 2014. Web. 7 Jan. 2016. <http://datapigtechnologies.com/blog/index.php/a-visual-explanation-of-linear-regression-in-excel/>.

"Perkins ELearning." Teaching Students with Visual Impairments to Calculate the Slope of a Graph. 13 Jan. 2014. Web. 7 Jan. 2016. <http://www.perkinselearning.org/ccss/ice-cream-winter-slope>.
Works Cited
Icecream sales vs. temperature increase
Temperature (Fahrenheit)
52
58
60
62
64
66
68
72
74
74
74
76
77
80
82
84
85
88
90
Ice Cream Sales (Dollars)
$185
$215
$332
$325
$408
$406
$412
$522
$445
$545
$640
$522
$544
$614
$614
$620
$627
$627
$632
LSR line equation: y=13.006*x-462.681

Positive upward trend
As temperature increases, icecream sales increase and amount in dollars increase
Predicts as temperature continues to increase, icecream sales will also increase
LSR line explanation
Slope Description
the slope is 13.006 .
This numer shows how steep the relationship of our variables is.
The slope also demonstrates a positive correlation between the weather and ice cream sales
For every tempeture increase there is a $13.00 increase.
y-intercept explanation
The y-intercept is 462.681
Our y-intercept shows where our line crosses the y axis
Yes, our y-intercept makes sense in context with our problem
So our y-intercept demonstrates many points. For example: When x is 60 degrees, y is $332.
Correlation Coefficiant
The correlation coefficient (r) is 0.9571858863
This means there is a strong correlation between ice cream sales and temp.
Coefficient of Determintion
r^2= 0.916
This means there regression line is strong
Outlier Analysis
Outlier Analysis Continued...
There is an outlier in our residual plot
The outlier is influential to y hat.
With Outliers
Without Outliers
Summary:
o How/where you gathered your data: We gathered the data from a website on the internet.
o The linear relationship of the data: There is a positive correlation in our data. As Temperture increases Ice Cream sales increase.
o Any interesting findings: There was an outlier at 58 degrees with Ice cream sales at 215 dollars.
o Any lurking variables that may influence the results: Vacation could be a factor.
o Any unforeseen difficulties or questions: No, our data was fairly normal.
o Any changes you would make next time: Have a better understanding of our data.

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