The graph shows the value of a certain model of car compared with its age. Which statement is true?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 12PPS
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The image contains a multiple-choice question related to the correlation of a car's age with its attributes. Below is a transcription and description suitable for an educational website:

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**Question:**

Consider the relationship between a car's age (in years) and its value. Select the most accurate statement from the options below:

- **A.** The car's age is not correlated to its value.
- **B.** The correlation coefficient is close to 0.
- **C.** The data show a negative linear relationship.
- **D.** The car's age is the response variable.

**Explanation of Options:**

- Option **A** suggests there is no correlation between a car’s age and its value, implying the value doesn't depend on the age.
- Option **B** indicates that if the correlation coefficient is close to 0, there may be little to no linear relationship between the two variables.
- Option **C** suggests a negative linear relationship, meaning as the car’s age increases, its value decreases.
- Option **D** states that the car’s age is the response variable, which is generally not correct as age is more likely to be the explanatory variable.
Transcribed Image Text:The image contains a multiple-choice question related to the correlation of a car's age with its attributes. Below is a transcription and description suitable for an educational website: --- **Question:** Consider the relationship between a car's age (in years) and its value. Select the most accurate statement from the options below: - **A.** The car's age is not correlated to its value. - **B.** The correlation coefficient is close to 0. - **C.** The data show a negative linear relationship. - **D.** The car's age is the response variable. **Explanation of Options:** - Option **A** suggests there is no correlation between a car’s age and its value, implying the value doesn't depend on the age. - Option **B** indicates that if the correlation coefficient is close to 0, there may be little to no linear relationship between the two variables. - Option **C** suggests a negative linear relationship, meaning as the car’s age increases, its value decreases. - Option **D** states that the car’s age is the response variable, which is generally not correct as age is more likely to be the explanatory variable.
The graph shows the value of a certain model of car compared with its age. The title of the graph asks: "Which statement is true?"

### Graph Details:

- **Axes:**
  - The y-axis represents the car's value in dollars ($).
  - The x-axis represents the age of the car in years.

- **Data Points:**
  - The graph consists of multiple data points plotted on a downward trend, indicating that as the age of the car increases, its value decreases.

- **Trend:**
  - The graph demonstrates a negative correlation between the age of the car and its value, suggesting that the older the car, the lower its market value. This is a typical depreciation pattern seen in vehicles.

This visualization can be used to discuss topics like depreciation, value assessment, and the impact of time on asset pricing.
Transcribed Image Text:The graph shows the value of a certain model of car compared with its age. The title of the graph asks: "Which statement is true?" ### Graph Details: - **Axes:** - The y-axis represents the car's value in dollars ($). - The x-axis represents the age of the car in years. - **Data Points:** - The graph consists of multiple data points plotted on a downward trend, indicating that as the age of the car increases, its value decreases. - **Trend:** - The graph demonstrates a negative correlation between the age of the car and its value, suggesting that the older the car, the lower its market value. This is a typical depreciation pattern seen in vehicles. This visualization can be used to discuss topics like depreciation, value assessment, and the impact of time on asset pricing.
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