negative numbers are lower than positive numbers). Explain your reasoning. A. The correlation between the ages of all the husband and wife pairs in Ohio. B. The corelation between the weights of all the husbands and wives in Ohio. C. The correlation between the number of questions wrong and the number of questions right for all the students taking a test. D. The corlation between the weight and the miles per gallon of all the cars in Ohio. 19. The weights of 148 sets of twins bor at the MetroHealth Medical Center in Cleveland, Ohio were recorded for a full year. How strongly is the weight of the first born associated with the weight of the twin? A scatterplot is shown below (all weights are in kilograms). 3 1. 3. 4 First born Weight (Kg) a. The correlation between the weight of the first born and the weight of the twin is about A. -0.87 В. -0.36 С. 0.36 D. 0.87 Explain your choice. b. If the weights of the first born had been measured in pounds instead of kilograms, then: A. the value of the median weight of the first born twin would B. the value of the standard deviation of the weights of the first born would C. the value of the correlation between the two twins' weights would Fill in the blanks from the possible choices listed below (Note. There are about 2.2 pounds in one kilogram). You may use an answer more than once. (1) be multiplied by 2.2 (3) stay the same (2) be divided by 2.2 (4) be multiplied by 2.2 times the correlation 20. The correlation between X and Y is –0.8. This says that A. Larger than average values of X are associated with smaller than average values of Y. B. Larger than average values of X are associated with negative values of Y. C. X tends to cause Y not to happen D. This is not possible. A correlation cannot be negative. Second Twin's Weight (Kg) 2.

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**19.** The weights of 148 sets of twins born at the MetroHealth Medical Center in Cleveland, Ohio were recorded for a full year. How strongly is the weight of the first born associated with the weight of the twin? A scatterplot is shown below (all weights are in kilograms).

[Scatterplot Description]
- The scatterplot shows the relationship between the "First born Weight (Kg)" on the x-axis and the "Second Twin’s Weight (Kg)" on the y-axis.
- The plot displays a positive correlation between the weights of the first and second twins, meaning as the weight of the first twin increases, the weight of the second twin also tends to increase.

**Questions:**

a. The correlation between the weight of the first born and the weight of the twin is about:
- A. -0.87
- B. -0.36
- C. 0.36
- D. 0.87

*Explain your choice.*

b. If the weights of the first born had been measured in pounds instead of kilograms, then:
- A. the value of the median weight of the first born twin would __________.
- B. the value of the standard deviation of the weights of the first born would __________.
- C. the value of the correlation between the two twins' weights would __________.

Fill in the blanks from the possible choices listed below (Note: There are about 2.2 pounds in one kilogram). You may use an answer more than once.
- (1) be multiplied by 2.2
- (2) be divided by 2.2
- (3) stay the same
- (4) be multiplied by 2.2 times the correlation

**20.** The correlation between X and Y is -0.8. This says that:
- A. Larger than average values of X are associated with smaller than average values of Y.
- B. Larger than average values of X are associated with negative values of Y.
- C. X tends to cause Y not to happen.
- D. This is not possible. A correlation cannot be negative.
Transcribed Image Text:**19.** The weights of 148 sets of twins born at the MetroHealth Medical Center in Cleveland, Ohio were recorded for a full year. How strongly is the weight of the first born associated with the weight of the twin? A scatterplot is shown below (all weights are in kilograms). [Scatterplot Description] - The scatterplot shows the relationship between the "First born Weight (Kg)" on the x-axis and the "Second Twin’s Weight (Kg)" on the y-axis. - The plot displays a positive correlation between the weights of the first and second twins, meaning as the weight of the first twin increases, the weight of the second twin also tends to increase. **Questions:** a. The correlation between the weight of the first born and the weight of the twin is about: - A. -0.87 - B. -0.36 - C. 0.36 - D. 0.87 *Explain your choice.* b. If the weights of the first born had been measured in pounds instead of kilograms, then: - A. the value of the median weight of the first born twin would __________. - B. the value of the standard deviation of the weights of the first born would __________. - C. the value of the correlation between the two twins' weights would __________. Fill in the blanks from the possible choices listed below (Note: There are about 2.2 pounds in one kilogram). You may use an answer more than once. - (1) be multiplied by 2.2 - (2) be divided by 2.2 - (3) stay the same - (4) be multiplied by 2.2 times the correlation **20.** The correlation between X and Y is -0.8. This says that: - A. Larger than average values of X are associated with smaller than average values of Y. - B. Larger than average values of X are associated with negative values of Y. - C. X tends to cause Y not to happen. - D. This is not possible. A correlation cannot be negative.
Sure, here's the transcribed text for an educational website:

---

### Correlation and Situations

**15. Match the correlation to the situation. Your choices are 0.94, 0.22, and -0.73.**

a. The correlation between the size of the home loan and the purchase price of the house.

b. The correlation between the weight of the infant and the length of time they stay at the hospital after birth.

c. The correlation between a college student's grade on an English class final exam and the student's score on the math part of the ACT college entrance exam.

**Explain your reasoning for deciding which correlation goes with which situation.**

---

**16.** The correlation between the price of the dinner and the tips left by customers at a restaurant is 0.96. **True or False:** If every customer decided to give one dollar less in tips then this correlation would go down.

---

**17.** The correlation between the ages of a group of students and the ages of their fathers is 0.8. Two years later all of the ages of the students and of their fathers would have increased by 2 years. **True or False:** The correlation here would still be 0.8.

--- 

There are no graphs or diagrams in this text.
Transcribed Image Text:Sure, here's the transcribed text for an educational website: --- ### Correlation and Situations **15. Match the correlation to the situation. Your choices are 0.94, 0.22, and -0.73.** a. The correlation between the size of the home loan and the purchase price of the house. b. The correlation between the weight of the infant and the length of time they stay at the hospital after birth. c. The correlation between a college student's grade on an English class final exam and the student's score on the math part of the ACT college entrance exam. **Explain your reasoning for deciding which correlation goes with which situation.** --- **16.** The correlation between the price of the dinner and the tips left by customers at a restaurant is 0.96. **True or False:** If every customer decided to give one dollar less in tips then this correlation would go down. --- **17.** The correlation between the ages of a group of students and the ages of their fathers is 0.8. Two years later all of the ages of the students and of their fathers would have increased by 2 years. **True or False:** The correlation here would still be 0.8. --- There are no graphs or diagrams in this text.
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