Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation? $\newline$ Choices: $\newline$ (A) For toy stores, selling more toys is associated with earning more money. $\newline$ (B) For customers, buying more toy trucks is associated with buying more toy cars. $\newline$ (C) For toy makers, making more toy cars is associated with using more toy car wheels.

View step-by-step help

View step-by-step help

Correlation and causation

Full solution

Q. Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?

\newline

Choices:

\newline

(A) For toy stores, selling more toys is associated with earning more money.

\newline

(B) For customers, buying more toy trucks is associated with buying more toy cars.

\newline

(C) For toy makers, making more toy cars is associated with using more toy car wheels.

Analyze Relationship of Option A: Analyze the relationship of the first option (A): Does selling more toys directly cause toy stores to earn more money? The answer is Yes, as earning more money is directly dependent on the number of toys sold. This is a straightforward business model where sales directly impact revenue.
Analyze Relationship of Option B: Analyze the relationship of the second option ( extit{B}): Does buying more toy trucks cause customers to buy more toy cars? The answer is Not Necessarily, as the purchase of toy trucks and toy cars could be correlated due to similar interests or demographics of the customers, but one does not cause the other. Customers might have a preference for vehicles in general, which is why they buy both, but buying one type of toy doesn't cause the purchase of the other.
Analyze Relationship of Option C: Analyze the relationship of the third option ( $C$ ): Does making more toy cars cause toy makers to use more toy car wheels? The answer is Yes, as the production of toy cars directly requires the use of wheels. This is a direct cause-and-effect relationship where the manufacturing process of toy cars necessitates the use of wheels.
Select Likely Correlation: Finally, select the option that most likely reflects correlation but not causation. Based on the analysis, the answer is 'For customers, buying more toy trucks is associated with buying more toy cars.' (Option B) because the relationship does not imply that purchasing one causes the purchase of the other, but rather that they are correlated due to similar customer interests.

More problems from Correlation and causation

Question

Read the following description of a data set. Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any. Rod noted the age of each person he spoke with,

x

, and the number of songs each could name,

y

. The least squares regression line of this data set is:

y = 0.886x - 23.764

Complete the following sentence: The least squares regression line predicts that if a person is one year older, they will be able to name

\_\_\_\_

Posted 5 months ago

Question

Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?

\newline

\newline

\text{(A)Taking your temperature more often is associated with using more cough drops.}

\newline

\text{(B)Having colds more often is associated with using more tissues.}

\newline

\text{(C)Eating chicken soup more often is associated with drinking more green tea.}

Posted 5 months ago

Question

A large truck, traveling

30

miles per hour, carries a letter from the central post office to the local post office. The letter is then loaded onto a local vehicle, which travels at an average speed of

10

miles per hour, until the letter reaches its destination. The large truck carried the letter for

a

minutes and the local vehicle carried the letter for

b

minutes. If the total distance that the letter travelled from the central post office to its destination was

24

miles, which of the following equations correctly relates

a

b

\newline

1

\newline

\frac{30}{60} a+\frac{10}{60} b=24

\newline

\frac{60}{30} a+\frac{60}{10} b=24

\newline

30 a+10 b=24

\newline

60 \cdot 30 a+60 \cdot 10 b=24

Posted 9 months ago

Question

Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove

15

(\mathrm{mg})

per square meter of a particular pollutant from the soil in

20

20

weeks, the ferns are harvested and a new crop is planted. If

c

represents the number of crops of brake ferns needed to phytoremediate soil contaminated with

170 \mathrm{mg}

per square meter of the pollutant down to healthy levels of

5 \mathrm{mg}

per square meter, which equation best models the situation?

\newline

1

\newline

170-20 c=5

\newline

170+20 c=5

\newline

170-15 c=5

\newline

170+15 c=5

Posted 10 months ago

Question

Vicente surveyed a random sample of New Mexico residents ages

18

24

about how much they typically tip at a restaurant. The results of the survey are most representative of which of the following populations?

\newline

1

\newline

(A) New Mexico residents

\newline

(B) Albuquerque, New Mexico residents

\newline

(C) New Mexico residents ages

18

24

\newline

(D) Albuquerque, New Mexico residents ages

18

24

Posted 8 months ago

Question

A writer for a high school newspaper is conducting a survey to estimate the number of students that will vote for a particular candidate in an upcoming student government election. All students at the high school are eligible to vote in the election, and the writer decides to select a sample of students to take the survey. Which of the following sampling methods is most likely to produce valid results?

\newline

1

\newline

(A) Survey every fifth student to enter the school library.

\newline

(B) Survey every fifth student to arrive at school one morning.

\newline

(C) Survey every fifth senior to arrive at school one morning.

\newline

(D) Survey every fifth student to enter the school stadium for a football game

Posted 10 months ago

Question

In which of the following scenarios can the decline of Littleroot Town's population be described as linear?

\newline

1

\newline

2.5 \%

of the current population leaves Littleroot Town.

\newline

(B) Each year, an increasing number of people leave Littleroot Town.

\newline

(C) Each year, a decreasing number of people leave Littleroot Town.

\newline

(D) Each year, a constant number of people leave Littleroot Town.

Posted 10 months ago

Question

Based on her research, Aria estimates that

75 \%

of the students at her college work while they're in school. The margin of error of her estimation is

5 \%

. Based on her estimate and margin of error, Aria would most likely agree with which of the following statements?

\newline

1

\newline

70 \%

80 \%

of the students at Aria's college work while they're in school.

\newline

70 \%

75 \%

of the students at Aria's college work while they're in school.

\newline

72.5 \%

77.5 \%

of the students at Aria's college work while they're in school.

\newline

74.5 \%

75.5 \%

of the students at Aria's college work while they're in school.

Posted 9 months ago

Question

A zookeeper weighs her animals once a month and compares their weights to the previous month.

\newline

3 \mathrm{~kg}

between January and February.

\newline

The rhino gained

12 \mathrm{~kg}

between January and February.

\newline

2 \mathrm{~kg}

between January and February.

\newline

The penguin gained

4 \mathrm{~kg}

between January and February.

\newline

Which animal had the least amount of change in weight?

\newline

1

\newline

\newline

\newline

\newline

Posted 10 months ago

Question

A small accounting firm has

4

accountants who each earn a different salary between

52

000

58

000

dollars. For extra help during tax season, they hire a

5^{\text {th }}

accountant who earns

10

000

dollars. [Show data].

\newline

How will hiring the

5^{\text {th }}

accountant affect the mean and median?

\newline

1

\newline

(A) Both the mean and median will decrease, but the median will decrease by more than the mean.

\newline

(B) Both the mean and median will decrease, but the mean will decrease by more than the median.

\newline

(C) The mean will decrease, and the median will increase.

\newline

(D) The mean will increase, and the median will decrease.

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant