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Ice Cream Sales v.s. Outside Temperature

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by

Jeremy Breddan

on 19 November 2013

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Transcript of Ice Cream Sales v.s. Outside Temperature

Question: Does Outside Temp effect Ice Cream sales?
Does a hot day make people buy more ice cream or is the
statistical variance
not significant enough?
Ice Cream Sales v.s. Outside Temperature
Average Temp. (ºC) over 3 months
14.2°
16.4°
11.9°
15.2°
18.5°
22.1°
19.4°
25.1°
23.4°
18.1°
22.6°
17.2°

Population of Interest: All Ice Cream Sales on a given day in the U.S.
We expect to find that ice cream sales increase proportionally with the outside temperature.
Where did we get the data?
Our data was collected from an ice cream shop in Southern California that recorded the outside temperature during the summer months and the amount of money they collected at the end of the day.
Explanatory Variable:
Average Temperature

outside
(degrees Celsius)
Response Variable:
Ice Cream Sales
on a given day
Information was gathered on 400 sales over the span of 3 months during the summer.
Amount of ice cream sold (
$
American Dollars
$
)
$215
$325
$185
$332
$406
$522
$412
$614
$544
$421
$445
$408
Averages
X Mean: 18.68
X Standard Deviation: 4.01
Y Mean: 402.42
Y Standard Deviation: 126.04
r: .9575
r squared: .9168
LSRL Equation: y= 30.09x + -159.47
Outside Temperature (ºC)
S
a
l
e
s

i
n

$
Conclusion
The association appears to be moderately strong, positive, and linear (r=.96). Based on this data, one could argue that as the temperature outside increases so too does the amount of ice cream sales.
Slope and R Squared
Slope: For every increase in 1ºC, ice cream sales increase by $30.
R Squared: [.9168] About 92% of the of the variation in ice cream sales is explained by the outside temperature.
Problems With the Study
- Human error. The shop also sells shakes and malts which were not differentiated from the ice cream sales.

-Human error. Tips were not taken into account on income for the specific day.
Sources
Jeremy Breddan

Michael Davidow
Period 4 Statistics
Ms. Rundle
11/19/13
Full transcript