Data on the weekly sales of room air conditioning units were matched with the average temperature and calculations produced sample correlation coefficients, r, in the range of minus 0.75 and minus 0.83. Which of the following statements best expresses a conclusion that can be drawn from the values of r?

(A) There is no relationship between temperature and sales.

(B) As the temperature decreases, the number of room air conditioners sold decreases.

(C) This cannot be determined from the information given.

(D) As the temperature increases, the number of room air conditioners sold decreases.

Question

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Mathematics

25 June, 04:38

Data on the weekly sales of room air conditioning units were matched with the average temperature and calculations produced sample correlation coefficients, r, in the range of minus 0.75 and minus 0.83. Which of the following statements best expresses a conclusion that can be drawn from the values of r?

(A) There is no relationship between temperature and sales.

(B) As the temperature decreases, the number of room air conditioners sold decreases.

(C) This cannot be determined from the information given.

(D) As the temperature increases, the number of room air conditioners sold decreases.

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Answers (1)

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Roy Lin · Answer 1

Answer: option D

Step-by-step explanation:

A negative correlation coefficient simply implies that an increase in one or the variables causes a decease in the other variable and vice versa.

Our correlation coefficient in this question is between - 0.83 and - 0.75, which implies that as temperature increases, the number of units of air conditioner decreases and vice versa