Question

Before he goes to bed each night, Mr. Kleen pours dishwasher powder into his dishwasher and turns it on. Each morning, Mrs. Kleen weighs the box of dishwasher powder. From an examination of the data, she concludes that Mr. Kleen dispenses a rather consistent amount of powder each night. Which of the following statements is

true?

I. There is a high positive correlation between the number of days that have passed since the box of dishwasher powder was opened and the amount of powder left in the box.

II. A scatterplot with days since purchase as the explanatory variable and total amount of dishwasher powder used as the response variable would display a strong positive association.

III. The correlation between the amount of powder left in the box and the amount of powder used should be $-1.$

a. I only

b. II only

c. III only

d. II and III only

e. I, II, and III

Short answer

The statements is true is (d) II and III only

Step-by-step solution

Given information

We need to find that Which of the following statements is true

Explanation for correct statement  II  

Here days since purchase is explanatory variable because The response variable is the focus of a question in a study or experiment. An explanatory variable is one that explains changes in explanatory variables So, response variable is total amount of dishwasher powder

A scatterplot with days since purchase as the explanatory variable and total amount of dishwasher powder used as the response variable would display a strong positive association is true

Explanation for correct statement  II|  

As , it's miles given in question , from exam of the data, it concludes that Mr. Kleen dispenses a as a substitute regular quantity of powder every night .
The correlation among the quantity of powder left within side the field and the quantity of powder used have to be is true

Explanation for incorrect statement  I  

As , there's no correlation among variety of days and quantity left in field .
There is a excessive high quality correlation among the variety of days which have surpassed because the field of dishwasher powder became opened and the quantity of powder left withinside the field is false