Question

In: Statistics and Probability

OrderNo. DeliveryTime NumberOfPizzas Distance Location 1 16.68 7 5.6 Downtown 2 11.5 3 2.2 Not Downtown...

OrderNo. DeliveryTime NumberOfPizzas Distance Location
1 16.68 7 5.6 Downtown
2 11.5 3 2.2 Not Downtown
3 12.03 3 3.4 Downtown
4 14.88 8 0.8 Not Downtown
5 13.75 6 1.5 Not Downtown
6 18.11 7 3.3 Downtown
7 8 2 1.1 Downtown
8 17.83 7 2.1 Downtown
9 79.24 30 14.6 Not Downtown
10 21.5 5 6.05 Not Downtown
11 40.33 16 6.88 Downtown
12 21 10 2.15 Not Downtown
13 13.5 4 2.55 Not Downtown
14 19.75 6 4.62 Not Downtown
15 24 9 4.48 Not Downtown
16 29 10 7.76 Not Downtown
17 15.35 6 2 Not Downtown
18 19 7 1.32 Downtown
19 9.5 3 0.36 Not Downtown
20 35.1 17 7.7 Downtown
21 17.9 10 1.4 Downtown
22 52.32 26 8.1 Not Downtown
23 18.75 9 4.5 Downtown
24 19.83 8 6.35 Not Downtown
25 10.75 4 1.5 Downtown
26 26 9 7.3 Not Downtown
27 14.21 5 2.4 Not Downtown
28 21 8 1.4 Downtown
29 10 4 0.9 Not Downtown
30 36 18 8 Downtown
31 18.1 9 1.5 Downtown
  1. Recode any variables that need cleaning/recoding and show a screenshot of the new table. (4 points)

  2. Report the descriptive statistics of the variables of interest. (3 points)

  3. Plot a diagram that explores the relationship between delivery time and number of pizzas (3 points).

  4. Report the correlation matrix of all variables. (3 points)

  5. Discuss the correlation between number of pizzas and delivery time. (2 points)

Solutions

Expert Solution

The variable "Location" is recoded as 1 for "Downtown" and 0 for "Not Downtown".

It is a nominal variable.

The descriptive statistics associated with nominal variables are frequencies and percentages.

Frequency Percentage
Downtown(1) 14 45.16
Not Downtown(0) 17 54.84

Scatterplot that explores the relationship between delivery time and number of pizzas:

Correlation matrix:

DeliveryTime NumberOfPizzas Distance Location
DeliveryTime 1.0000 0.9594 0.8787 -0.0903
NumberOfPizzas 0.9594 1.0000 0.7961 -0.0066
Distance 0.8787 0.7961 1.0000 -0.1283
Location -0.0903 -0.0066 -0.1283 1.0000

The correlation between number of pizzas and delivery time is 0.9594. So number of pizzas and delivery time has a very strong positive correlation. As one of the variable increases, the other also tend to increase.


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