Middle School

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CollegeBoard
AP Classroom
Unit 2 Progress Check: MCQ Part A

Question 15

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 shown in the following table:

| Temperature (°F) | Number Sold |
|-------------------|-------------|
| 57 | 17 |
| 75 | 12 |
| 43 | 20 |
| 68 | 8 |
| 67 | 13 |

The mean temperature of the sample is 62°F, and the mean number sold is 14. What is the correlation between the temperature and the number sold?

Answer :

Answer:-0.85

Explanation:

I put the other answer and it was wrong

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Rewritten by : Barada

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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