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AP Classroom
Unit 2 Progress Check: MCQ Part A
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Question 15 a
A food truck owner recorded the temperature at noon, in degrees Fahrenheit, and the number of bowls of soup sold during the lunch hour for a random sample of 5 days. The data are sh
following table.
Temperature (degrees Fahrenheit)
Number sold
57
17
75
12
43
20
68
8
67
13
The mean temperature of the sample is 62 degrees Fahrenheit, and the mean number sold is 14. What is the correlation between the temperature and the number sold?
0.85

The value of correlation Coefficient which measures the strength of the relationship between temperature and the number of soup bowls sold is - 0.8516

Given the table :

Temperature (°F) ________ Number sold
57 ___________________________ 17
75 ___________________________ 12
43 ___________________________ 20
68 ___________________________ 8
67 ___________________________ 13

Using technology, Excel or linear correlation calculator; the correlation Coefficient obtained, R = - 0.8516

The negative value depicts that there is a negative relationship between temperature and the number of bowls of soup sold.

Also, since the value of R, is close to - 1 ; then we can conclude that there is a strong relationship between the two variables.

Therefore, a strong negative correlation exists between temperature and the number of bowls of soup sold.

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