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Icecream sales vs. temperature increase

Without Outliers

Summary:

With Outliers

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.

Outlier Analysis Continued...

Outlier Analysis

  • There is an outlier in our residual plot
  • The outlier is influential to y hat.

y-intercept explanation

Describe the Data

  • 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.

Individuals: Ice cream, temperature

Variable: Increase in ice cream sales

Type of Variable: Quantitative

Explanatory: Temperature [degrees Fahrenheit]

Response: Ice cream sales [dollars]

Slope Description

Gather the Data

Works Cited

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

"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>.

  • 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.

Coefficient of Determintion

  • r^2= 0.916
  • This means there regression line is strong

Is there a linear relationship between ice cream sales and temperature?

Correlation Coefficiant

LSR line explanation

  • 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
  • The correlation coefficient (r) is 0.9571858863
  • This means there is a strong correlation between ice cream sales and temp.

Interpret Linear Relationship between 2 variables

LSR line equation: y=13.006*x-462.681

Plot the Data

Correlation Coefficient, r

  • Correlation Coefficient, r: 0.9571858863
  • Correlation Coefficient, r (without outlier): 0.9571858863
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