Question

Indicate whether each of the following relationships is an indirect relationship or a direct relationship.

(A) The number of inches of rainfall per month and the sale of umbrellas
(B) The amount of tuition and the level of enrollment at a university
(C) The popularity of an entertainer and the price of her concert tickets

Answer 1

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3. Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function.

Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sept. Oct. Nov. Dec.

Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6

Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125

(a) Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used.

(b) What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold?

Answer 2

A. Indirect relationship

b. Direct relationship

c. Direct relationship

Step-by-step explanation:

To explain if there is a direct or indirect relationship is necessary to identify if the consecuence is generally explained by the other variable formulated. For example, the sale of umbrellas is related with the number of inches of rainfall, but does not explain necessary the whole situation; price could be a much more powerful reason that would explain the sale of umbrellas.

In the other two cases, the consequence is explained by the variable related. There are reasons to think that the assistance to a concert could be influenced by weather, for example, but the level of assistance is explained more likely by the price and the popularity of the singer.